Applied Math for Food Service by S.R. Labensky_NEW
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Transcript of Applied Math for Food Service by S.R. Labensky_NEW
CHAPTER 2
Portion Size and ProductionQuantity
An often overlooked or underappreciated aspect
of commercial food preparation is the initial
determination of portion size. Without determining an
appropriate portion size (and then applying that to the
anticipated customer count), the chef might prepare too
much food, or not prepare enough food - both of which
are costly, undesirable mistakes. There are no hard and
fast rules for these calculations, however. Each situation
depends on the chef's or manager's judgment and
experience.
A proper portion size is one that has been
determined following a thoughtful analysis of several
factors: the type of operation or event, customer
satisfaction, competition, food costs, and merchandising
concerns. Each operation must determine its own
portion standards, usually based upon a blend ofquantity, cost, and merchandising issues.
Quantity Determine the amount of each f,
item that the average patron would prefer to consume
given the time of day or meal, the event, and the total
selection offered. For example, fettuccine Alfredo can
be portioned as a 4-ounce serving for an appetizer or a7-ounce serving for an entr6e.
Cost Determine the amount of food that can
be provided for the price charged, while still covering
expenses and making a reasonable profit. For example,
20
Recipe Conversions
tl l shrimp cocktail sells for $9.95, you can determine
Irow rnany shrimp to serve by determining how much ofllrnl price can be "spent" on the cost of raw ingredients.
Merchandising Determine the amount ofent'lr portion by evaluating what will look best, attract
ullrrrlion, or fit. on or in'available serviceware. Fore!rnrrrlllc, if the only soup bowls available hold 5 ounces,
ll ts rrot necessary to prepare 7 ounces of soup per
IrFt \on.
Once the appropriate portion size is determined,
lhnl rrtrrount is multiplied by the customer count in order
ftt r'ttkrttlate the total amount to produce.
Portion Size x
Exen'l:tc 2.1
A catering company, is preparing 75 boxed
lunelrer, wlrich will each contain a 4-ounce serving offuit ralnrl, Another event scheduled for the same day
lE€ludt's li'uit salad on a buffet designed to serve 150
,Srtt, ltt t<ltal, how much fruit salad would you
Stlelpnle tlrlt thc catorcr should prepare? Why?
21
F
CHAPTER 2
Recipe Conversions
Whether 6 servings or 60, every recipe isdesigned to produce a specific amount of product,
known as yield. A recipe's yield may be expressed in
volume, weight, or servings (examples: I quart of sauce;
8 pounds of bread dough; 8 half-cup servings). ff the
expected yield does not meet your needs, you must
convert (i.e., increase or decrease) the recipe by
converting the amount of each ingredient in the recipe.
Recipe conversion is sometimes complicated bypofiion size conversions. For example, it may be necessary
to convert a recipe that initially produces 24 8-ounce
servings of soup into a recipe that produces 62 6-ouncer
servings.
Cutting a recipe in half or doubling a
done almost instinctively. What
mathematically when you do this?
To "double a recipe," the amount of each
ingredient is actually multiplied by 2.
each ingredient is actually multiplied by .5.
Although not all recipe conversions use such
nice even numbers, it is just as easy to change recipe
yields by uneven amounts as it is to double or halve
recipes. The mathematical prinqiple is the same: Each
ingredient is multiplied by a conversion factor.
ib,.,
22
Do not take shortcuts by estimating recipe
tttttounts or conversion factors. Inaccurate conversions
lelrl to inedible foods, embarrassing shortages, orwnstcful excess. Take the time to learn and apply proper
curr vcrsion techniques.
Converting Total Yield
When portion size remains the same orturlnll)ortant to your calculations, recipe yield
cottvclted by a simple two-step processl
STEP 1: Divide the desired (new) yield bythe recipe (old) yield to obtain the
conversion factor.
New Yield
= Conversion FactorOld Yield
S'I'EP 2: Multiply each ingredient quantity
by the conversion factor to obtain
the new quantity.
OklQuanilry xConversion Factor = New Quantity
CHAPTER 2 Recipe Cbnversions
Example 2.1
You need to convert a recipe for cauliflower
soup. The present recipe yields l-ll2 gallons. You only
need to make 314 of a gallon.
First, determine the conversion factor:
.75 gallon
= .50
1.5 gallons
(Need help in changing fractions to decimal numbers?
Please see your instructor for guidance.)
The conversion factor (CF) is applied to
ingredient in the soup recipe:
When calculating a conversion factor, the new
enrl old yields can be in any unit (cups, ounces, pounds,
Ftvings, and so on) as long as the numerator and the
dettrtminator are in the same unit.
For example, in the cauliflower soup exercise,
the slrne conversion factor can be obtained after first
€Onvcrting the recipe amounts to fluid ounces:
96fl. oz.
=.50192fl. oz.
(Remember, I gallon contains 128 fluid ounces!)
2.2
A recipe you normally use produces
tlute ohip cookie dough, but you need
What is the correct conversion factor?
6 lb.
t0 lb.
ofof
iriliii24 25
CHAPTER 2 Recipe Conversions
I tr srrrnmarize,the complete formula looks like this:
E*antple 2.2
'l'he original cauliflower soup recipe produced
f =l/J gullons, which is the same as 48 4-ounce servings.
l{rrw you need'l} 6-ounce servings of the soup for a
hnquet. The following steps show how this conversion
il tttnrlc.
reclpes
STEP
Converting Portion Size
A few additional steps are necessary to con
when portion sizes must also be changed.
Original Portions X
Determine the total yield of the existing
recipe by multiplying the number ofportions by the portion size.
Original Portion Size = Total Old Yield
STEP 2: Determine the total yield desired by
multiplying the new number of portions
by the new portion size.
Desired Portions x Desirecl Portion Size = TotaL New Yield
STEP 3: Obtain the conversion factor
the new total yield by the old
Total Yield (New)
by dividitotal yield.
= Conversion FactorTotal Yield (Old)
STEP 4: Multiply each ingredient quantity by the
conversion factor.
Old Quantity x Conversion Fabtor = New Quantity
27
CHAPTER 2
Total original yield is 48 x 4 oz. =
192 oz.
Desired yield is'72x6 oz. = 432 oz.
Conversion factor is calculated by dividing
desired (new) yield by original (old) yield:
432+192 = 2.25.
Old ingredient quantities are multiplied by
conversion factor to determine new
quantities:
Recipe Conversions
When a recipe's yield is increased, it sometimes
het'orncs impractical to measure the new, larger quanti-
lier hy cup, tablespoon, or the like, Your knowledge oflnFirsrrrcments will then be helpful in changing recipe
ilrrruinrls into more manageable units. For example, the
4 l/.1 tluarts of chicken stock in the Cauliflower Soup
fer'lf 'c rrtrove could be physical/y measured as 1 gallon
plrrt I pint.
? ','n. new recipe for Cauliflower Soup requires
l=1,5 cups of heavy cream. What is the most
Gnttvcnir:nt way to measure this amount of cream?
Your recipe for Devil's Food Cake makes 2mr ol'llatter. You need to make 100 cupcakes. Each:skc lirr holds 4 fluid ounces of batter. Find the
rll'tirlc conversion factor.
'l'ltc only way to learn conversion techniques is
pfncllcc, practice, practice. The review questions
thlr set'tirtn arc iln opportunity to practice a variety of
STEP 1:
STEP 2:
STBP 3:
STEP 4:
2.3
Old quantity x CF
2.25
2.25
2.25
2.25
2.25
Cauliflower, chopped
Celery stalks
Onion
Chicken stock
Heavy cream
5lb.
4
1
2 qt.
6 cups
28
ltteltt rtnrl coltvr:rsion skills.
29
CHAPTER 2
Additional Conversion Problems
When making very large recipe changes-fexample, from five to 500 portions or 600 to 36 port
-you may encounter additional problems.
mathematical conversions described above do notinto account changes in equipment, evaporation
cooking times, or unforeseen recipe errors. Goodlearn to use their judgment, knowledge of cookiprinciples, and skills to compensate for these factors.
Equipment When you change the size ofrecipe, you must often change the equipment used
well. Problems arise, however, when the producti
techniques previously used no longer work with the
quantity of ingredients. For example, if you nomake a muffin recipe in small quantities by hand
you increase the recipe size, it may be necessary
prepare the batter in a mixer. If mixing time remains
same, the batter may become overmixed, resultingpoor quality muffins. Trying to prepare a small amou
of product in equipment that is too large for the task
also affect its quality.
Evaporation Equipment changes can
affect product quality because of changes inrates. Increasing a soup recipe may require substitut
a tilt skillet for a saucepan. But because a tilt skiprovides more surface area for evaporation than does
saucepan, reduction time must be decreased to prevent
Recipe Conversions
uver lhickening the soup. The increased evaporation
esttrnl by an increased surface area may also alter the
rlr ettpth of seasonings.
Recipe Errors A recipe may contain errors inIttgrerlicnts or techniques that are not obvious whenplepnled in small.quantities. When increased, however,
rnrall rnistakes often become big (and obvious) mistakes
anrl tlrc l'inal product suffers. The only solution is to test
fErlprs carefully and rely on your knowledge of sound
ennhrrrg principles to compensate for unexpected
pflltlrrtrs.
Note that herbs and seasonings such as salt are
fgely rnultiplied by the mathematical conversion factor
Iltett r'rrlarging a recipe. In other words, if you increase
I fer'ipc cight times you do not automatically increase
lhe tlryrnc and salt in that recipe eight times. You should
Ely irrstcud on experience and taste to determine how
ffiUtlr ol'cach seasoning to add.
Tlme Do not multiply time specifications given
a t'ecipe by the conversion iactor used with the's ingredients. All things being equal, cookingwill not change when recipe size or yield is
gcrl, For example, a muffin requires the same
ol baking time whether you are preparing one
14 dozen. Cooking time will be affected,
hy changes in evaporation rate or heat
cuuscd by changes in pots and pans or
or
vel',
'liott
30
wAre.
31
r' -- -- -'l
CHAPTER 2
Mixing time may change when recipe size i
changed. Different equipment may perform mixitasks more or less efficiently than the equi
previously used. Again, rely on experience andjudgment.
Exercise 2.4
You have prepared a standard muffin reci
several times with no problems. The chef asks you
make four times as many muffins. You convert trecipe properly but the batter seems much thickernormal and the mixing bowl you always use isn't I
enough. The baked muffins are unacceptable and
be served. What might have gone wrong?
2 oz.4 oz.1Tbsp.t/2lb.2-U2lb.ll2 cr,tp
2 tsp.l-112 pt.I cupto taste
92
Review Questions for Chapter 2
€anvert the following recipes as indicated:
1, Becf Tenderloin with Mushroonrs
Porlions: 8
Portion size:8 oz.Butter0nionsFlourMushroomsTenderloinWhite WineMustardBrown Sauce
CreamSalt a Pepper
Equash
MIkButtcrEaltPagrika
3 cupsll4 cup2 Tbsp.1 tsp.1/4 tsp.
Eanvert recipe to yield 18 8-ounce serving.
Summer Squash
4 servings
recipe to yield 47 servings.
33
Convert recipe to yield 2-ll2 qt.
4. Soft Dinner Rolls
CHAPTER 2
Vanilla Sauce
Yield: 2-112pt.Egg YolksSugprMitkVanilla
Portions: 64
Portion size:
WaterYeastFlourSaltSugarMilk PowderShorteningButterEggs
CHAPTER 33.
t28 oz.1 qt.I Tbsp.
600 ml.6og1300 g
3og120 g
6og5og7oe120 ml.
UNIT ANDRECIPE
COSTI NG
5.
Convert recipe to yield 140 Z-otrnce rolls.
Convert recipe to yield 20 l-ll4 ounce rolls.
List and explain three things that can affect successful recipechanges.
LEARNING OBJECTIVES:
Understand how to calculate unit cost
Understand and use typical invoices
Understand how to calculate the cost of a recipe
Undcrstand how to calculate portion cost
05
I
CHAPTER 3 Unit and Recipe Costing
=.018 x 2=$0.037t6
The following exercise will help you
unit costing procedures and provide additionalwith measurement equivalents
Etercise 3.1
Flntl the unit cost for each item:
.30
ltem A.P. package Cost Unit Cost
flour, cake 50# bag t|.20 lb.
Beans, fresh 28# bushel 20.72 lb.
Tonrnto puree #10 can 3.10 cup
gallon
50# bag
cratel12 bunches
25#bag
36# case
2.30
9.45
4.40
17.40
14.00
42.70
cup
Tbsp.
bun
lb.
ea.
I. UNIT COST = The price paid to acquire one of
the specified items.
i
I$llffit,
38
flaU9 heads 16.25
39
Bffil '
40 41
CHAPTER 3
Cost information is usually provided to the cor manager on purchase invoices, such as the ones sho
on the following pages. It may also be necessary
examine a product's label or package to determine so
information such as size or weight.
Exercise 3.2
Examine the following invoices to determine
unit cost for these items:
Potatoes $
Parsley per bun
Apples per each
King Crab Legs per each
Wine Vinegar per cup
per oz.
WOG Fryers per lb.
Sugar
Tea per servmg
ooootr
tiE
iB
$lnflu6N{
jo
,:>1FIT Jdf<E!fEil = EI o6{I oFI,T G(!., u<-I d,,a O( rI oaru
A^Fz.'YFHEI to J o
,I IO:ELr ooo
6$
I
oNr)6
IJNuctrl
dorO:
EElJ .r48;U lrlPHri.''(lit
TTTg$
r!c* B*H*
li H$ Es sI a 80ft ?R*
m
I t-i EII *sl* E;
o,iE E
fiEsFg 63E "o
!8. *
EiHil
H:
8r
ffilr
<a<t\ atss us
4/6 >DZA !Ho<N LgNt6< <a<
,aF ,ryx4 Z<*UilU OZZ>6E-uu,rJ fJo
,n,ag 4uL
Pc3o
o2E)F.t&oHtroFrJoE.
EEifr:H,ltse"*tqa
IXszoQAIrUz
Xou
taOL*ZL<OU>HOxL)
6
HE
ozzoFxt!o
Ilrlrovtoo
N
io
EoEg
44 45
Unit and Recipe Costing
Recipe Cost
A standard recipe, listing"the ingredients and
Iheir amounts as well as the number and size of the
porlions, must be established in order to determine the
gurl of the completed menu item. Once an accurate
ftei1rc is written, 'the Total Recipe Cost is calculated
Pitlr the following two-step procedure:
Determine the cost for the given quantity
of each recipe ingredient using the unit
costing procedures described previously.
Add all of the ingredient costs together to
obtain the total recipe cost.
The total recipe cost can then be broken down
llrc Cosl per Portion, which is the most useful
Ior food cost control. To arrive at cost per por-
, rlivide the total recipe cost by the total number of
or portions produced by that recipe.
o
Bg
d
E
The 1
served or so:
is cut into 8
divided by 8
total recipe cor
provide errofleour
ild be the amount that is
rers. In other words, if pecan
service, the recipe cost should,curate portion cost. Dividing
, servings or by'10 servingsnformation.
lixercise 3,3 shows the ingredients for Bn onlon
, I lse the unit costs calculated in Exercise 3, I tote the recipe costing form. (Note that the eol-
,f'etr "yield Vo" and "8.P. price" are not used in
eterrise.)
i.3
RECIPE COSTING FORM
The Recipe Costing Form provided in thependix is useful for organizing recipe costing infition. It provides space for listing each ingredient,quantity of each i'rgredient needed, the cost of eachand the total cost for each ingredient. portion sizecost per portion are listed at the bottom of the fr
There is no space for recipe procedures because theyirrelevant in recipe costing.
When using this costing form, rememberinformation you write in the Quantity column is mtiplied by the amount you write in the price columndetermine the Recipe Cost for each item. The coststhe ingredients are then totaled to determine the TRecipe Cost.
? Identify at least rwo orher reasons why it is iportant to use a standard recipe in a professi
frrm oate lO-l?ffro I taOtor-r
po*ionSize (o or.
TOTAL RECIPE COST $
Number of Portions
-,f-,^!il,l."r.", -.
46
Cost per Portion $
47
F' CHAFTEH 3
Labor Costs
The term direct labor refers to the work thatdirectly involved in the production of menu items.
example, the time that a cook spends cleaningfrosting a cake or shucking oysters would be directused in producing those foods. The labor requiredclean the parking lot, balance the cash register, inventhe wine cellar and so on is indirect labor.
The cost of direct labor should be
when costing menu items. If food is purchased
processed, cleaned, portioned, and ready to heatserve, labor costs will be low. The more in-houseessing needed, the more labor costs will increase.some point, the money saved by buying wholesaleof meat or making your own stocks may be outweiby the costs of labor needed to produce those items.example, if a prep cook works slowly and takes tooto clean a beef tenderloin, the chef may decide itbe less expensive to purchase the tenderloincleaned and portioned for service. The labor expensethat cook could then be eliminated.
Unlt and
'l'lrc cxpense for direct labor is added to food cost
lftivr irt a figure known as prime cosl, which is the
cnst ol'preparing a food item for sale. Prime cost is
rusecl when setting menu prices, as described in
J, Menu Pricing.
49
Your manugcr wants to make all dinner rolls in-
, irrstoacl ol' buying ready-to-serve bread. He
t:kr yorr il'this is a good way to save money. What
lFftrrtrtnriort do you need before you can answer him?
i. ,.i-,. ,
48
Review Questions for Chapter 3
Dellne the following terms:
L]NIT COST
€()ST PER PORTION
Ymm
Why is it important to calculate the portion cost of a recipe in profes-sional food service operations? Why is the cost of the recipe alone
lnadequate?
Explain how the cost of a small quantity of an ingredient can be de-
termined from the known cost of a large or bulk quantity of that in-gredicnt.
ldffiiH,
51
Yield TestsCHAPTER 4
lngredient Yields
Computing the cost of recipe ingredients is
simple matter if foods are used the way they are recei
and there is no waste or trim. This is rarely the
however. The amount of a food item As-Purc
(A.P.) and the amount of the Edible Portion (E.P.) of
same item may vary considerably, particularly
meat, fish, poultry and fresh produce. In this con
yield. refers to the usable or edible quantity remaini
after processing the as-purchased quantity of a
item. That is, yield refers to the amount of usable
after the case of iceberg is cleaned, or the amount
meat that is available after trimming.
The yield factor or yield percentage is the
of the usable quantity to the purchased quantity.
always less than IOOVo and may be calculated in dol
or quantity (weight/volume) amounts.
Because purchase specifications and fabrication
*ttttiques vary from operation to operation, there are no
pGcise, standard yield amounts. Each kitchen should
ftterrrrine its own yield factors using its own cooks and
lll uwrr cleaning and trimming standards. To be
ft€ttmle, several tests should be conducted and the
f;tults lveraged to arrive at a specific operation's yield
Iur each item.
'fhe method of calculating yield varies depending
Wlrethcr the item's trim is all waste (for example,
lnhlc peelings) or whether the trim creates usable or
le hy-products (for example, meat and poultry).
l:hapter examines both types of yield tests and
lrow this information is critical in purchasing
Raw Yield Tests WithoutBy-Products
'l'lre simplest yield test procddure is for items that
nu usable or saleable by-products. These foods
nrlst produce as well as some fish and shellfish.
tltese lilods are ready to serve as received fromrr, trimming is required and all trim is waste.
l*etttple, one pound of apples may yield only 13
ol' llesh after peeling and coring. If a recipe
otte pound of peeled, cored apples, the chef
ttarl with slightly more than one pound of A.P.
? one of your cooks completes a yield test
case of spinach and reports that spinach has a yie
ll7Vo. What's wrong with his results?
54
In uruler to determine accurate costs for such
55
CHAPTER 4 Yield Tests
items, the trim loss must be taken into account. Eseedless grapes do not have a l00Vo yield factor.
weight of stems and bad grapes should be calculated
deducted from the A.P. weight to determine the co
price per pound of servable fruit.
Three steps are used for calculating yield
all trim is waste:
STEP 1: Weigh the trim produced fromspecified A.P. quantity. This is kn
trim loss.
Itltrle that the yietd factor will always be some number
btl than 1 and the yield percentage will always be less
fim 1007o.
Practice calculating yield factors by completingise 4.1. Remember, subtracr trim loss from A.P.
; lhen divide yield weight by A.P. weight to arriveyicld percentage.
STEP 2:
STEP 3:
Subtract the trim loss from the
weight to arrive at the total yield wei
Divide the yield weight by the
weight to determine the yield factor
percentage).
Example 4.1
Two pounds of fresh garlic generates
ounces of trim loss. Therefore, the yield weight
1/2 ounces and the yield factor is86Vo:
(2 lb. x 16 oz.) = 32 oz. - 4.5 oz. = 27.5
27.5
= .859 = 86Vo
M-,66
32
67
CHAPTER 4
Exercise 4.1
CALCULATING YIELD PERCENTAGES
A.P. TrimLossItem W
14.5lb. 5.5 lb.
Broccoli 27lb. 10Ib. 10 oz.
t8-U4lb. 3lb. 12 oz.
Cucumbers 8lb. 2l oz.
6z-lb. melons
Onions 25lb.
Leeks 6-2t3 tb. 3lb.
Tomatoes 18.75 lb. 19 oz.
Yield Testg
Yieldw
8.5 lb.
22lb,4 oz.
Because each operation has its own
cleaning and trimming raw products,
should be personalized. Lists of common
such as those given in Chart 4.1, are aval
as an indication of industry nerrns.
tlharr 4,1
CTIMMCIH PRODUCE YIELD IhCTORS
to Chart 4.1 , 7U%of the broccoli you
30% is waste; 637o of all scallions
tt* ic waste- Depending on your
eleaning standarlls, and purchasing
lhorc percentages nry or may not be
759o
94Vo
48Vo
75Vo
70%
95%
7OVo
8O7o
78%o
55%
75%
82%
2E%
Grapefruil 45Vo
Grapes 9Aclo
Kirxi 8A9o
Leeks 5O%o
lrrnons 45Vo
Irttuce 75c/o
Lirnes 45cno
Melons 55Vo
Mrrshroonrs 90Vo
Nectarines 867o
Okra 827o
Onions 9OVa
Oranges ffi%o
Pears 75Vo
Pea pods 9Ucla
Peppers 82%o
Pineapple 5OVo
Plums 95%d
Potatoes 80%
Radishes 90%
Rhubarb 85To
Scallions 65Vo
Spinach 6A%
Squash 9A7o
Tomatoes 9OTo
Zucchini XJ%b
hd*,6E
(,Ircr8tion.
60
CHAPTER 4 Yield Tests
Applying Yield Factors
Now that you understand what yield factors
and how to calculate them, let's look at the two ways
which they are applied. First, yield factors are used
accurate ingredient pricing and recipe costing. Sec
yield factors are necessary for accurate purchasing.
> To Determine lngredient Price
When a food product is cleaned or triportion of what you paid for is discarded. The
the remainder of that food should be adjusted upw
account for its increased value. This revised pri
then the accurate one to use in recipe costing. In
words, the price should be recalculated to account
waste. The A.P. (as-purchased) unit cost must
converted to an E.P. (edible portion) unit cost.
done by dividing A.P. cost by the yield percentage.
$xantple 4.2
Carrots cost $6.50 per 25-lb. bag and have a
fielrl l'actor of 78Vo; in other words, 22Vo of that 25-lb.
beg ir waste. So, the carrots have an E.P. unit cost oftty pcr pound.
.26lpound
= .33lpound
n costing a recipe, 33p per pound is the accurate
liont cost.
lixercise 4.2 allows ybu to practice calculating
trvisod E.P. cost of food items that have no usable
or hy-products. Use the yield factors listed in Chart
to complete this exercise.
.78
,I
ru,
I li.P. cost is always greater than A.P. cost.
00 61
CHAPTER 4
Exercise 4.2
DBTBRMINING EDIBLE.PORTION COSTS
Yield Tests
A.P.Cost
YieldVc
E.P.Cost
Banana slices
Yams, diced
.70Ib. 74Vo
Avocado slices t.29tb.
_37Lb.
.89Ib.
> To Determine Purchase Amount
Most recipes list ingredients in E.P.
Therefore, the chef must consider waste or trim
when ordering these items. If the amounts listed in
recipe are ordered and then require trimming,number of portions (or recipe yield) will be less than
desired amount.
Srunple 4.3
A recipe requires 20 lb. of shredded cabbage.
Tlre yicld factor for cabbage is79Vo. Therefore, 20 lb. is
fgtf,, rrl'the A.P. quantity. Divide the amount needed by
&e yield factor to determine the minimum A.P. quantity.
20Ib.
= 25.3lb.
.79
*lll lrrke 25-ll3lb. of cabbage to provide the 20 lb. ofcabbage. (This figure should be increased to
Bven rmount for purchasing because yield factors are,
$rl, only an estimate.) Note that the A.P. figure must
x hc greater than the E.P. figure in this formula.
leces
63
FFt'I
ta EP Quantity is always less than A.P. Quantity
Yield TestsCHAPTER 4
Exercise 4.3 provides practice in calculating
chasing quantities for items having unusable t
Remember that yield factors are listed in Chart 4.1.
Exercise 4,3
DETERMINING AS.PURCHASED QUANTITIES
A.P.
Raw Yield Tests Wath By-Products
With meats, poultry, and some fish, only a small
lBlount of trim will be discarded as waste. Much of the.
Elnr can be used and therefore has a value to the
gp+nrtion. Calculating yields on food items with usable
ff rtrlable trim is a bit more complex than calculating
|leltls fbr food items whose trim is all waste.
If the. food service operation purchases only
ffirtttt, portion-controlled meats and seafood and uses
Senr .iust as they are received, A.P. and E.P. costs are
r.lnle. But if the operation buys wholesale cuts ofor whole fish and poultry and cuts them in-house,
ehef should do a yield cost analysis to determine the
I costs.
The labor costs associated with trimming or
lcnting food items can become a major expense for a
tcrvice operation. Although labor costs should be
when making purchasing and production
for now we are only concerned with actual
The impact of labor costs was discussed in
4.4
Suppose your restaurant serves a boneless,
lers grilled chicken breast entr6e. The restaurant
wholc tiyers for $1.07 per pound. You must clean
ehickons by removing the breast meat and skin, and
ItemRecipeAmount
YieldVo A
3 lb.
Avocado slices r-U2tb.
Banana slices 5.75Ib.
2tb.
Yams, diced 22-2t3lb.
leces
74 7o
807o
64
lng the wings, legs, and thighs. You begin with a
65
F'r'f
CHAPTER 4 Yield Tests
After calculating the total value of allproducts, subtract that amount from the original cost
the chicken as-purchased. This figure reflects the
cost of the 10.5 pounds of boneless, skinless
meat.
$37.45 - 14.95=$22.50
To find the cost per pound for the breast meat, dividenet cost by the tested item's yield weight. This isfigure you will use for costing chicken breast recipes.
$22.50 + 10.5 = $2.14 per pound
Percentage of increase is determined by dithe net cost per pound by the A.P. price per pound.
that this figure is almost always greater than l)OVo.
$2.14+ $1.07=2007o
The percentage of increase figure is used the nextthe operation purchases chicken but finds that the
has changed. Instead of completing another yieldthe new cost per pound for chicken breast meat
determined by multiplying that new price bypercentage of increase. So, if the cost of whole chi
rises to $1.85 per pound, breast meat will cost $3.70pound:
$1.85x200Vo = $3.70
Cooked Yield Tests
So far, this chapter has addressed yields ofrkcd food items. Most foods, however, suffer
ional loss in the cooking process. Loss also occurs
n trimming fat or bones, and when slicing and
krrring foods after cooking. To accurately determine
lorr cost and purchasing quantities, these losses must
t'orrsidered, especially if the food portion is
rincd by weight after cooking (for example, sliced
hcr:l' for sandwiches). Once again, several tests
I hc conducted to obtain reliable yield factors forolrcration. As-Served (A.S.) refers to the actual
lt ol'one portion as it is served to the customer. If a
is scrved raw, such as fruit, the as-served weight
he thc same as the edible portion weight. If the food
rkctl. however, these weights will be different.
('lritrt 4.3 is a Cooked Yield Testing Form used
detelrnirring cooked cost per pound and percent of
What happens to the cost of breast meat if the
Gusl ol'whole chickens falls to 98p per pound?
68
knp.e. Rcmcmber that cooked yield tests are only
69
F'CHAPTER 4 Yield Tests
n"- Trrr\ Br<o-r} o.,.
Netweight l3 lb. iletcostperpound + S"rc iletGosr
Gooked Cast per Pound +
Shrinkage 3 rb. PercentofShrinkage 17
Total Percent of lncrease
necessary where A.S- portions are based on weightscooking. ff, for example, saut6ed shrimp isorder based on aGoz. uncooked portion, a cooked Itest is not necessary- If, however, large quantitiesshrimp are cooked first, then portioned forcooked yield test must be completed to determineactual cost per portion.
Chart 4.3
COOKED YIELD TEST FOR]Ii
Chart 4.3 is filled in with the results of a cooked
|leld test on a roasted boneless turkey breast. Assume
fhat a raw yield test has already been conducted on the
Erkey breast, providing the net cost and net weight
tgurcs. The weight as served is calculated by keeping
Eae k of the number of portions actually served from that
Brkcy and multiplying that number by the portion size.
*hite it is tempting to simply weigh the turkey after
ing and trimming, this fails to account for loss
igused by employee snacking, wasted scraps, crumbs
hft on the cutting board or slicer, or spilled juices. It is
hore accurate to record the weight that is actually
The remaining lines on the form are completed
your calculations, just like on the raw yield test
, The cooked cost per pound is the net cost divided
the A.S. weight ($Sq.+O + 15 lb. = $3.96).
Shrinkage refers to the loss from pre-cooked
lght to as-served weight (18 lb. - 15 lb. = 3 lb.). The
of shrinkage figure is the ratio of shrinkage to
weight (3 lb. + 18 lb. = lTVo). It is used to assist
chef in determining future purchasing needs. For
le, if the chef knows that roast beef has a l2Vo
kage factor, she knows that the pre-cooked weight
be lTVo more than the weight needed after cooking.
Total percentage of increase shows the increase
co$t per pound from purchasing to service. It is
luted as a follow-up to a raw yield test by dividing
g6
70
cooked cost per pound by the A.P. cost per pound.
71
? .whole raw turkey costs $1.89 per pound,
what is the percent of cost increase for cooked, sliced
turkey breast? (See Chart 4.j.)
Ii A.P. = As-Purchased
E.P. = Edible-Portion
A.S. = As-Served
CHAPTER 4 Yield Teste
Using Yield Tests for Purchasing
As discussed above, yield factors are usefuldetermining how much of a raw item to buy whenknow how much of the cooked item you need.
calculations for items with by-products and foritems are the same as shown in the produce exaabove.
STEP 1: Calculate the yield percentage.
E.P. - A.P. = Yield Percentage
STEP 2: Divide the amount needed (E.P.)
the yield percentage to determineamount to purchase.
E.P. Quantity - Yield 7o = A.P. Quantity
l{r'umple 4.5
Refer to the chicken breast example in Chart 4.2
Enrl assume that you need 43 lb. of raw chicken breast
ntrirt for a dinner party. The raw yield factor is 30Vo
( 10,5 + 35 = .30). So, you must purchase at least 143-
l/l lh. of whole chickens to have the 43 lb. of breast
ntrirt needed(43 + .30= 143.33).
Htrrcise 4.4
Return to the sliced turkey example above and
Itriurne that you need to make 75 turkey sandwiches,
€aclr containing 4 oz. of cooked, sliced turkey. If you
*nrrw that a24-lb. turkey produces 18 lb. of raw turkey
brerrst, how many pounds of whole, raw turkeys will you
flectl to buy to have enough breast meat for the
!Fttrlwiches?
72 7g
FCHAPTER 4
Making Purchasing Decisions
Deciding to purchase food items that are
to-serve, or deciding to do the preparation in-hinvolves more than a just a cost analysis. Other
. may be significant in determining the best approach
your operation. Consider the following questions:
Employee Skills Do your employees
the skills necessary to butcher meats properly?
fabricate fish? To clean and prepare
consistently? How much will hiring skilled labor
Menu Do you have a use for the bones,
and trimmings that result from fabricating large cuts
meat into individual portions? Can your menu
depending on the seasonal availability of fresh por shellfish?
Storagefreezer space so
highly perishable
and seafood?
Do you have ample refrigeratorthat you can be flexible initems, such as produce, meat,
Customers Do yourproduce and custom cuts ofdesserts made "from scratch"?
for additional labor costs?
customers expect
rneat? Do they
Are they willing to
Yield Tests
Review Questions for ChaPter 4
Ikfine the following terms:
AS SERVED
YIIJLD FACTOR
fl,'MING LOSS
What is the purpose of the Percentage of lncrease figure on the raw
yicld test form? How is this figure used by the chef?
l.ist several factors that might cause one restaurant's yield factor for
lcttuce to be higher than another restaurant's. Explain why
rtandardized yield factor lists are unreliable-
75
Menu Priclng
After determining the cost of food items, youmore intelligently and accurately calculate menu priA few of the many methods for setting menu pricesexplained below. Some techniques are highly strucand closely related to food costs; others are unstand unrelated to actual food costs. As a practicalno one method is right for every operation andcombination of methods may provide the best pristrategy.
Cost-Based Menu pricing
This section examines four cost_basedmethods: food cost percentage, factor pricing,cost pricing, and perceived value pricing. Each ofmethods uses the cost of the food item as the spoint.
Food Cost Percentage For thisyou must first determine the food costdesired for the particular operation. Calculateitem's raw food cost, then divide by the desiredcost percentage to determine the selling price.
lixample 7.1
If the cost for one sandwich is $1.70 and the
desired food cost percentage is ZiVo, the selling price
nrust be at least $7.39
$1.70 + $.23 =7.391
Irr this situation, 23Vo of the sales price for each
nrndwich will go to cover the cost of ingredients. The
higher the food cost percentage, the lower the portion oflhc sales price that is available for fixed expenses,
ovcrhead or profit. Determining the appropriate food
cost percentage for your facility is critical to the
tuccessful use of this method.
Exercise 7.1
Your manager has determined that food costs
rhrruld be no more than 28Vo of sales. What should you
Ehurge for a bowl of onion soup if the recipe cost is
f t , tZ per portion ?
Factor Pricing A variation on food cost
Pcrcentage pricing is factor pricing, in which a multiplier
h used to calculate menu prices. First, take the desired
food cost percentage and divide it into 100 to arrive at a
factor. The cost of each menu item is then
multiplied by this cost factor to arrive at the menu price.
Uaing the figures in Example 7.1, the factor is 4.35 (100
109
+ 23 = 4.35) and the
$7.39 ($1.70 x 4.35 =
menu price for a $1.70$7.3e).
Exercise 7.2
What factor is used to28Vo food cost?
set menu prices with
Both food cost percentage and factor pricingfast and easy to use. These methods areunreliable, however, because they assume thatcosts associated with preparing food stay the sameeach menu item. These systems wrongly assume thatcosts for labor, energy, and overhead are the samerack of lamb entr6e and a seafood salad. Thesemay be fine-tuned somewhat by adjusting thefood cost percentage according to the type of foodmenu category. For example, appetizers may ,
assigned a lower food cost percentage than dessertg,side dishes.
Prime Cost Pricing The food service
lndustry uses a figure known as prime cost to refer to the
btsl of raw food cost plus direct labor. Direct labor is
lnbor actually required for an item's preparation. If,
example, food cost is $2.10 and direct labor is $1.50,
prime cost is $3.60. As with the food cost
rcentage example above, the prime cost percentage
he divided into the prime cost amount to determipe
pnce.
Why might one category of foods, such as
daiscrts, be priced with a higher food cost percentage
lltnrr other menu items?
DIRECT LABOR = The labor required for
Betu[l production of menu items.
110 1ll
*i
Menu Pricing
Example 7.2
The raw food cost for a rack of lamb is $7.50it takes a cook a total of 9 minutes to clean and trimfor service. If that cook is paid $8.50 per hour, the dilabor cost is $1.27 ($8.50 per hour = $.14 per mi($.'1a x gminutes = $1.27).
The prime cost of the rack of lamb is $8.($7.50 + $1.27). A selling price is then determined
dividing prime cost by the desired primepercentage. If the desired prime cost percentage is
the rack of lamb should be priced at $18.27 ($8.22
.48 = $18.27).
Perceived Value Pricing This is a
backwards way of setting prices based on
perceptions of appropriate prices. You firstwhat the "market price" is for the same or similarThen calculate what you can serve for that price.
This technique requires a thorough knowledgcthe market and complete, accurate historical infl
information and experience, you can determine how
much to spend on raw product for each menu item and
still make the desired profit. This method is most useful
lbr standard food items or in markets that are highlycompetitive.
Ilxample 7.3
Assume that the market price for a complete
c:hicken dinner is $9.95. Assume further that the desired
profit is '|Vo, overhead expenses are 27Vo of sales and
lrrhor is 23Vo of sales. You can then spend 43Vo of $9.95($4.2S; on the food cost for that chicken dinner.
7+27+23=5l%o
100 - 57 = 43Vo x $9.95 = $4.28
Excrcise 7.3
Your competitor serves a complete shrimp dinner
ftrr $12.99. You would like to meet this offer, butyou're not sure you can afford to. You know that your
€vcrhead accounts for 38Vo of sales, labor is 34Vo oflBles, and your desired profit margin is l2Vo. How much
een you spend on raw food cost for a $12.99 shrimp
dlnne r'l
112
on labor and overhead costs. With the
113
F
{
tt'!t i-
I!iI
3
I
t
j
i
tI
Ii
I
Profit-Based Menu PricingUnlike cost-based pricing methods, profit-
methods tse desired profit as the starting pointcalculations. The two methods discussed here are
profit pricing and budget-based pricing.
Gross Profit Pricing Gross profit pricingbased on the specific amount of profit that is hiproduced by each customer. So, there must be ahistory for the facility before this methoduseful. The average gross profit per customer isdetermined by dividing total gross profit by thenumber of customers during the given period. If,example, total gross profit for the first year ofwas $120,000 and a total of 40,000 covers wereduring the year, the average gross profit perwas $3.00. So, $3.00 is added to the food cost foritem to determine the menu price.
120,000
= 3.00 + food cost = menu40,000
This pricing method is probably most useful for prhor buffet operations where food cost is also averaged,
'l'he average gross profit per customer is $2.80 ($80,000
+ 28,500 = $2.80). If the average per person food cost
Ior a salad bar is $2.10, the menu price for that salad
shouldbe$4.90 ($2.10 + $2.80 = $4.90).
lixercise 7.4
The average per person food cost for your
lrunday buffet is $6.45. During the past year a total of
5200 people purchased this buffet and your gross profit
wts $31,500. How much should you charge per person
il'you wish to maintain that profit margin?
Budget-Based Pricing Budget-based pricing
huilds atarget profit percentage into the selling price of
ench menu item. As with gross profit pricing, there must
he a history of expenses to use this method. The desired
prol'it percentage and the historical percentage for
ovcrhead (total labor, fixed expenses, and so on) are
ntrlrtracted from l00%o. The percentage remaining is the
nnlount available for food costs. A factor is determined
by dividing this food cost percentage into 100. The
arlunl food cost for each menu item is then multiplied by
the lirctor to obtain the selling price.
il
Example 7.4
During the past 12
customers were served and
months a total of
114
gross profit was
115
t,
Menu Pricing
Example 7.5
If the desired profit is lTYo of sales andexpenses historically total 60Yo of sales, then thecost percentage must be no more than2}Yo.
. 100-(60+12):28
Dividing 28 into 100 provides a pricing factor of 3.57 ,
the raw food cost for a Chicken Caesar Salad is $2.then the selling price is $9.25
$2.59x3.57:$9.25
Exercise 7.5
Your bakery a shopping mall
for special or loss-leader items such as aT9Qjumbo soda
or a $1.99 breakfast special.
While the competition's prices are an important
consideration, you should not simply copy them. Your
competition's costs are not your costs no matter how
similar the final food product appears. If you must
charge higher prices than your competition, seek out
some way to dffirentiate your product or your service.
Virtually all food service operations are seeking
to charge the highest price possible without a loss ofsales. The customer's perception of value is therefore
critical. The menu can be used as a tool for educating
customers. Descriptive language or an explanation ofunique or special dishes can be included. Customers
who understand the value of service, atmosphere, out-of-
scason foods, and specialty products will tolerate higher
prices for those items.
Psychological lmpact of Pricing
Regardless of how you arrive at a menu price,
you may wish to round the figure up or down forpsychological impact. It is human nature to perceive
aorrre prices as higher or lower than they actually are.
lror example, using a 9 or 5 as the last digit in a price
ereiltcs the impression of a discount. Prices ending in aI or 5 appeal to price-conscious customers. On the other
hnntl, priccs ending in a 00 or 0 are perceived as more
extremely high rents. Consequently, your totalaverages 75% of sales. Your foodcranberry muffins is $1.04. If youprofit, how much should you charge for onemuffins?
Non-Cost-Based Pricing
Non-cost-based pricing techniques rely onmonetary factors in setting menu prices.prices in your area for the same or similar items
cost for one
want to make
-116
affect your ability to set prices. fhii is particularly
117
Menu Prlclng
expensive and of higher quality and so are often used
fine-dining menus.
The number of digits in a price is also im$9.95 seems much less expensive than $10Likewise, theftrst numeral in a price affects perceptio
When changing menu prices, an increase from $5.95 r
$6.45 seems greater than an increase from $6.25
$6.75, although both are 50p increases.
Patrons do not like to see a large spread inprices. Erratic pricing may cause confusion orcustomers think something is wrong with one or morethe items. For example, a lobster dinner for $18.50be a reasonable price, but it may be inappropriate onmenu where all other items are less than $6.00.general, the highest price should not be moredouble the lowest price within the same food cate
ff the least expensive appetizer is $4.00, then theexpensive appetizer should not be more than $8.00.
Exercise 7.6
Your accountant accurately calculated allmenu prices based on information you provided.prices show figures such as $6.12, $9.00, $8.57$1.19. Use your knowledge of pricing psychology
adjust these prices to more appropriate figuresexplain your reasoning.
Review Questions for Chapter 7
1. In order to maintain an averagb food cost of 35Vo, what multipliershould you use to calculate menu prices?
2. Calculate the menu price for a chicken salad with a raw food cost of$1.97, where the desired food cost is 23Vo. How might this priceappear on an upscale restaurant's menu?
3. During June your restaurant will offer a complete shrimp dinner fora special price of $8.99. Explain how you will determine the
appropriate cost for the raw ingredients for this meal. What otherinformation do you need?
118 119
4. The five appetizers on your lunch menu are priced from $6.50$7.95 each. Your manager wants to add a new appetizer priced$2.95. Explain why you disagree with this idea.
5. Why might it be important to know the labor costassociated with preparing a given food item? Explain howprime cost percentage differs from the food cost percentage.
120