Case - 8 (Amarco Inc.)

8/10/2019 Case - 8 (Amarco Inc.)

1/21

Microsoft Excel 10.0 Sensitivity Report

Worksheet: [Case 8 AMARC.xls!Sol"tion

Report Create#: $%&0%&01' (:&0:&0 )M

Adjustable Cells

*inal Re#"ce# +,ective Allo-a+leCell a/e al"e Cost Coefficient ncrease

$C$6 Values of Variables X11 2175.3424658 0 15 0.2411894276

$D$6 Values of Variables X12 0 1.74623!005 15.99998213 1.74623!005

$!$6 Values of Variables X13 5424.6575342 0 16.5 0

$"$6 Values of Variables X21 0 1.81885!006 14.9999978 1.81885!006

$#$6 Values of Variables X22 6780.8219178 0 16 0

$$6 Values of Variables X23 6219.1780822 0 16.5 0.1929515421

$%$6 Values of Variables X31 8523.1164384 0 15 0

$&$6 Values of Variables X32 5476.8835616 0 16 2.42513!006

$'$6 Values of Variables X33 0 1.36241!005 16.49998594 1.36241!005

$($6 Values of Variables X41 2301.5410959 0 15 0

$)$6 Values of Variables X42 742.29452055 0 16 7.27540!006$*$6 Values of Variables X43 356.16438356 0 16.5 0

$+$6 Values of Variables X1 6400 0 17 34.906862813

$,$6 Values of Variables X2 0 1.9000000005 14.5 1.9000000005

$-$6 Values of Variables X3 0 3.7000000003 13.5 3.7000000003

$$6 Values of Variables X4 7600 0 14 2.9999999997

Co/strai/ts

*inal Sha#o- Constraint Allo-a+le

Cell a/e al"e )rice R.2. Si#e ncrease

$$10 #as A ( 7.275958!012 0.2 0 32630.136986

$$11 #as ( 7.27596!012 0.2 0 11108.397856

$$12 #as C ( 0 0.2 0 79200

$$14 Alalte ( 14000 17 14000 1.0000!030

$$15 Cat Cra #as ( 13000 16.4 13000 925.69982132

$$16 tr u/ #as ( 14000 17.2 14000 694.27486599

$$17 %soe/ta/e ( 11000 14 11000 1.0000!030

$$19 #as A ( 13000 0 12000 1000

$$20 #as ( 13000 2.2000000002 13000 3692.3076923

$$21 #as C ( 12000 0.1000000001 12000 7384.6153846

$$22 )areti/ ( 2.04636!012 1.6000000001 0 7384.6153846

$$24 #as A ( 13839.212329 0 0 13839.212329

$$25 #as ( 4273.1164384 0 0 4273.1164384

$$26 #as C ( 1.81899!012 0 0 13515.217391


2/21

Allo-a+le3ecrease

0

1.0000!030

1.0000!030

1.0000!030

1.81885!006

0

2.42513!006

0

1.0000!030

7.27540!006

03.0206896556

0.1153846155

1.0000!030

1.0000!030

0.750000001

Allo-a+le

3ecrease

34523.116438

3255.7077626

5379.3103448

6400

5697.4885845

6000

7600

1.0000!030

456.30044771

1786.1520782

979.18955156

1.0000!030

1.0000!030

26000


3/21

ase 4.1 AMAR O

Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta

ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a

A C A C A C A

aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 2175 0 5425 0 6780.82 6219.18 8523 5477 0 2302 742

+,ective f"nction 15 16 16.5 15 16 16.5 15 16 16.5 15 16

Constraints

Rei# apor )ress"re

#as A 2 1 3 13

#as 2 1 3 13

#as C 2 1 3

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1

ctane

#as A 14 3 6 15

#as 16.5 2 4 17

#as C 7.5 7 13


4/21

e

soli/e "eedsto

C /ot ble/ded i/ asoli/e

X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600

16.5 17 14.5 13.5 14 81(&00

0 0

7.3!012 0

13 3!012 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 12000 ; 12000

1.6!012 ; 0

13839.21 ; 0

4273.116 ; 0

8 4.5!012 ; 0


5/21


6/21

e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 3062 0 0 0 6615

33 17 14.5 13.5 14 1568608

0.003793 0

0.00024 0

13 0.000109 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 19384.62 ; 12000

0.000124 ; 0

9750.009 ; 0

94576.92 ; 0

8 0.000254 ; 0


7/21

ase 4.1 AMAR O



A C A C A C A


+,ective f"nction 30 32 33 30 32 33 30 32 33 30 32

Constraints

Rei# apor )ress"re

#as A 2 1 3 13

#as 2 1 3 13

#as C 2 1 3

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1

ctane

#as A 14 3 6 15

#as 16.5 2 4 17

#as C 7.5 7 13


8/21

e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600

33 34 29 27 28 1(6&'00

7!012 0

7!012 0

13 0 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 12000 ; 12000

2!012 ; 0

13839.2 ; 0

4273.12 ; 0

8 2!012 ; 0


9/21

ase 4.1 AMAR O



A C A C A C A


+,ective f"nction 30 32 33 30 32 33 30 32 33 30 32

Constraints

Rei# apor )ress"re

#as A 2 1 3 13

#as 2 1 3 13

#as C 2 1 3

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1

ctane

#as A 14 3 6 15

#as 16.5 2 4 17

#as C 7.5 7 13


10/21

e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 356 0 0 0 7892

33 34 29 27 28 166$5&6

0

4.8!008 0

2.4!009 0

13 9.1!013 0

1 12200 : 12200

1 11000 : 11000

1 9000 : 9000

1 1 11000 : 11000

11653.85 ; 12000

11653.85 ; 13000

1 12000 ; 12000

2!008 ; 0

102578.2 ; 0

2857.251 ; 0

8 6.8!012 ; 0


11/21

i

i


12/21

NS.5)

he solution to Question 2 has 6,400barrels per day of alkylate, ero !atalyti! !ra!ked "asolinetrai"ht run

asoline, and #,600barrels per day of isopentane left o$er. Thus, additional %uantities of alkylaopentane &ill

!rease re$enues only by their $alues,'#, and '4, respe!ti$ely. This !an be seen also fro( the ri!es in *!el+s

ensiti$ity report belo&. The other t&o feedsto!ks in!rease re$enues by (ore that their $alue

e!ause the shado& pri!es are '6.4for !atalyti! !ra!ked "asoline and '#.2for strai"ht run "aso

he allo&able in!rease !olu(n "i$es the lar"est in!rease in the feedsto!k a(ounts for &hi!h thns&ers re(ain

alid-25.# barrels for !atalyti! !ra!ked "asoline and 6-4.barrels for strai"ht run "asoline . T

re no upper li(its for the other t&o feedsto!ks.


13/21

ANS. 6)/ro( the abo$e portion of *!el+s Sensiti$ity eport, ',000(ore barrels than the (ini(uA are produ!ed

and "asoline 1 and produ!tion is e%ual to their (ini(u( de(and . Thus, &ith the e!onde!rease in the

(ini(u( de(and for "asoline A does not a3e!t the solution,

&hereas, de!reases in the (ini(u( de(ands for "asoline 1 or do a3e!t the solution. Tre$enues are "i$en by

the shado& pri!es . The shado& pri!e for a$iation "asoline 1 is 2.20 per barrel and is $ade!reases

by 456.barrels and the shado& pri!e for "asoline is 0.'0 and it is $alid until de(andbarrels

That is, ea!h barrel per day de!rease in the (ini(u( de(and for 1 and in!rease re$en

respe!ti$ely.


14/21

ase 4.1 AMAR O


ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e le/ded i/

A C A C A C A


+,ective f"nction 10 11 11.5 10 11 11.5 10 11 11.5 10 11

Constraints

Rei# apor )ress"re

#as A 2 1 3 13

#as 2 1 3 13

#as C 2 1 3

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1

ctane

#as A 14 3 6 15

#as 16.5 2 4 17

#as C 7.5 7 13


15/21

/e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600

11.5 17 14.5 13.5 14 (&(&00

7.3!012 0

5.5!012 0

13 3.6!012 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 12000 ; 12000

1.6!012 ; 0

13839.2 ; 0

4273.117 ; 0

8 0 ; 0


16/21

ase 4.1 AMAR O



A C A C A C A

aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 0 0 7600 3250 9750 0 8125 3250 2625 1625 0

+,ective f"nction 10 11 11.5 10 11 11.5 10 11 11.5 10 11

Constraints

Rei# apor )ress"re

#as A 2 1 3 13

#as 2 1 3 13

#as C 2 1 3

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1


17/21

e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 1775 6400 0 0 7600

11.5 17 14.5 13.5 14 (&(&00

0 0

0 0

13 0 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 12000 ; 12000

0 ; 0


18/21

ase 4.1 AMAR O



A C A C A C A

aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 3133 684.21 6316 2250 6328.95 4421.05 6750 5987 1263 867 0

+,ective f"nction 15 16 16.5 15 16 16.5 15 16 16.5 15 16

Constraints

Rei# apor )ress"re

#as A 1 2 2 14

#as 1 2 2 14

#as C 1 2 2

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1

ctane

#as A 14 3 6 15

#as 16.5 2 4 17

#as C 7.5 7 13


19/21

e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 0 3867 0 0 10133

16.5 17 14.5 13.5 14 808(00

7!012 0

4!012 0

14 3!012 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 12000 ; 12000

0 ; 0

23116.67 ; 0

7!012 ; 0

8 7!012 ; 0


20/21

ase 4.1 AMAR O

Allate Catalti Craed #asoli/etrait u/ #asoli/e %soe/ta


A C A C A C A


+,ective f"nction 15 16 16.5 15 16 16.5 15 16 16.5 15 16

Constraints

Rei# apor )ress"re

#as A 2 1 3 13

#as 2 1 3 13

#as C 2 1 3

Availa+ility

Alalte 1 1 1

Cat Cra #as 1 1 1

tr u/ #as 1 1 1

%soe/ta/e 1 13e/an#

#as A 1 1 1 1

#as 1 1 1 1

#as C 1 1 1

Marketin4 1 1 1 1 1 1 1 1

ctane

#as A 14 3 6 15

#as 16.5 2 4 17

#as C 7.5 7 13

*e< )'= o/strai/t

1 1 1 1 1 1 1 1 1 1 1


21/21

e

soli/e "eedsto


X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600

16.5 17 14.5 13.5 14 81(&00

7.3!012 0

3.6!012 0

13 8.2!012 0

1 14000 : 14000

1 13000 : 13000

1 14000 : 14000

1 1 11000 : 11000

13000 ; 12000

13000 ; 13000

1 12000 ; 12000

2!012 ; 0

13839.21 ; 0

4273.116 ; 0

8 3.6!011 ; 0

1 14000 ; 0

Case - 8 (Amarco Inc.)

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Transcript of Case - 8 (Amarco Inc.)