McGraw-Hill/Irwin 2009 The McGraw-Hill Companies, All Rights Reserved Chapter 20 Cost.
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Transcript of McGraw-Hill/Irwin 2009 The McGraw-Hill Companies, All Rights Reserved Chapter 20 Cost.
McGraw-Hill/Irwin ©2009 The McGraw-Hill Companies, All Rights Reserved
Chapter 20
Cost
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-2
Learning Objectives
This chapter introduces these concepts:1. Fixed cost, variable costs, and total cost.2. Marginal cost.3. Short run and long run.4. Shut-down and go-out-of-business decisions.5. Average cost.6. Graphing the AFC, AVC, ATC, and MC curves.7. The production function.8. The law of diminishing returns.9. Economies and diseconomies of scale.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-3
Costs
Sales – Costs = Profit
Total Revenue - Total Cost = Profit
or
or
Total Revenue (TR)– Total Cost (TC)
Profit (the bottom line)
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-4
Fixed Costs (FC)
Fixed costs stay the same no matter how much output changes.• Examples: rent, insurance, salaries, property taxes, and
interest payments.• Even when a firm’s output is zero, it incurs the same fixed
cost.• Sometimes called “sunk cost” because once you have
obligated yourself to pay them, that money has been sunk into your firm.
• The trick is to spread these (fixed) costs over as much output as possible.
• In other words, to spread your overhead over a large output.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-5
Variable Costs (VC) Variable costs vary with output.
• As output goes up, VC goes up.• As output goes down, VC goes down.• Examples: wages, fuel, raw materials, electricity, and shipping.• Sometimes a cost may be part fixed and part variable.
• The electricity used by production is a variable cost because it will go up or down with production.
• Even if your output fell to zero, you would still have to pay something on your electric bill.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-6
Total Cost (TC)
Total cost is the sum of fixed and variable costs.
TC = FC + VC
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Hypothetical Cost Schedule
Let’s first try graphing these 3 costs curves.
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FC + VC = TC
Hypothetical Cost Schedule (continued)
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Marginal Cost (MC)
Output FC VC TC MC
0 $500 $ 0 $500 $ -
1 200 700 200
2 300 800 100
3 450 950 150
4 650 1,150 200
5 950 1,450 300
6 1,500 2,000 550
MC is the cost of producing one additional unit of output.
MC = change in TC ÷ change in Q
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-10
Marginal Cost (MC)
Output FC VC TC MC
0 $500 $ 0 $500 $ -
1 200 700 200
2 300 800 100
3 450 950 150
4 650 1,150 200
5 950 1,450 300
6 1,500 2,000 550
MC is the cost of producing one additional unit of output.At an output of zero, VC is always zero
At an output of zero, FC is equal to TC
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-11
The Short Run (SR)
As long as there are any fixed costs, we are in the short run.• The present time is always the short run.
The short run is the length of time it takes all fixed costs to become variable costs.• In other words, the length of time it takes to eliminate all fixed
costs.• A steel firm might need 10 years to pay off such fixed costs as
interest and rent.• Even a grocery store would need a few weeks or months to
sublet the store and discharge its other obligations.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-12
The Long Run (LR)
The long run is the time at which all costs become variable costs.• Never exists except in theory…you never rally reach the long
run.• You will never have a situation in which all your costs are
variable.• This would mean no rent, no insurance, no guaranteed salaries,
no depreciation, etc.• As you proceed through the short run, you are forced to make
decisions that will push the long run farther into the future.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-13
Another Cost Table: Find TC
Output FC VC TC AFC AVC ATC MC 0 $500 $ 0 $500 1 500 200 700 2 500 300 800 3 500 420 920 4 500 580 1,080 5 500 800 1,300 6 500 1200 1,700 7 500 1900 2,400
Recall TC = FC + VC
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-14
Average Cost: Now Adding AFC, AVC, and ATC
Output FC VC TC AFC AVC ATC MC 0 $500 $ 0 $500 $ - $ - $ - 1 500 200 700 500 200 700 2 500 300 800 250 150 400 3 500 420 920 166.7 140 306.7 4 500 580 1,080 125 145 270 5 500 800 1,300 100 160 260 6 500 1200 1,700 83.3 200 283.7 7 500 1900 2,400 71.4 271.4 342.9
AFC = FC / Output
AVC = VC / Output
ATC = TC / Output
Recall TC = FC + VC
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-15
Average Cost: Finally Adding MC
Output FC VC TC AFC AVC ATC MC 0 $500 $0 $500 $ - $ - $ - $- 1 500 200 700 500 200 700 200 2 500 300 800 250 150 400 100 3 500 420 920 166.7 140 306.7 120 4 500 580 1,080 125 145 270 160 5 500 800 1,300 100 160 260 220 6 500 1,200 1,700 83.3 200 283.7 400 7 500 1,900 2,400 71.4 271.4 342.9 700
MC is the cost of producing one additional unit of output.
It is best to use the VC column to calculate the MC. If the TC column is used, you cannot calculate the MC for the first unit of output.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-16
Output FC VC TC AFC AVC ATC MC 0 $500 $ 0 $500 $ 0 $ 0 $ 0 $ 0 1 500 200 700 500 200 700 200 2 500 300 800 250 150 400 100 3 500 420 920 167 140 307 120 4 500 580 1,080 125 145 270 160 5 500 800 1,300 100 160 260 220 6 500 1,200 1,700 83 200 283 400 7 500 1,900 2,400 71 271 343 700
Much of microeconomic analysis involves:
Graphing the AFC, AVC, ATC & MC curves
Filling in a table Drawing a graph
Analyzing the graph
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-17
Output FC VC TC AFC AVC ATC MC 0 $500 $ 0 $500 $ 0 $ 0 $ 0 $ 0 1 500 200 700 500 200 700 200 2 500 300 800 250 150 400 100 3 500 420 920 167 140 307 120 4 500 580 1080 125 145 270 160 5 500 800 1300 100 160 260 220 6 500 1200 1700 83 200 283 400 7 500 1900 2400 71 271 343 700
Graphing the AVC, ATC, and MC curves
Always do MC first!
MC intersects ATC and AVC at their minimum points.
What is min. AVC?
What is min. ATC?
AVC and ATC are U-shaped
About $135
About $260
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Minimum AVC: $70 Minimum ATC: $166
Further Discussion: You Try Finding Minimum AVC and ATC points
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The MC curve intersects the ATC and AVC at their minimum points.
Review
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-20
The Law of Diminishing Returns
Production function: relationship between the maximum amount a firm can produce and various quantities of inputs.
Marginal output: the additional output produced by the last worker hired.
Law of diminishing returns: as successive units of a variable resource (say, labor) are added to a fixed resource, beyond some point, the extra or marginal product attributable to each additional unit of the variable resource will decline.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-21
Total Output and Marginal Output
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Economies of Scale
Economies of scale: the economies of mass production, which drive down ATC.• Evidenced by the declining part of the ATC curve.
In general, we expect large firms to undersell small firms. Reasons are:• Quantity discounts.• Economies of being established.• Spreading fixed cost.
Economies of scale enable a business to reduce its cost per unit as output expands.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-23
Diseconomies of Scale
Diseconomies of scale: the inefficiencies that become endemic in large firms.• Evidenced by the rising part of the ATC curve.
In general, at some point, the larger firms get the more inefficient they become. Reasons are:• An expanding and growing bureaucracy.• A huge and growing corporate authority.
Diseconomies of scale increase inefficiencies and also increase cost per unit.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-24
A Summing Up
The overlapping forces of increasing returns and economies of scale drive down ATC.
Eventually, the overlapping forces of diminishing returns and diseconomies of scale push ATC back up again.
The U-shaped ATC is very important in economic analysis and in business strategy.• What size size plant do we build?• How many workers do we hire?• What is the output at which our firm would operate most
efficiently?
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-25
The Decision to Operate or Shut Down:
The Short Run A firm has 2 options in the short run: operate or shut
down. When TR > VC, operate.
• If it operates, it will produce the output that will yield the highest possible profits.
• If it is losing money, it will operate at that output at which losses are minimized.
When TR < VC, shut down.• If the firm shuts down, output is zero.
• Shutting down does not mean zero total costs.• The firm must still meet its fixed costs.
• Remember, at an output of zero, TC = FC.• The firm can not go out of business until all fixed cost
obligations are eliminated.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-26
Summary Table: Let’s Try 3 Problems
Problem #1: Operate or shut down in the short run?TC = FC + VC ($5 + $6) = $11
TR = $7Loss = $4
TR ($7) > VC ($6), so operate to cover FC and then some. Note: Fixed costs are not relevant in the operate/shut down
decision.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-27
Summary Table: Let’s Try 3 Problems
Problem #2: Operate or shut down in the short run?TC = FC + VC ($10 + $9) = $19
TR = $8Loss = $11
TR ($8) < VC ($9), so shut down Note: Fixed costs are not relevant in the operate/shut down
decision.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-28
Summary Table: Let’s Try 3 Problems
Problem #3: Operate or shut down in the short run?TC = FC + VC ($8 + $12) = $20
TR = $10Loss = $10
TR ($10) < VC ($12), so shut down Note: Fixed costs are not relevant in the operate/shut down
decision.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-29
The Decision to Stay In or Go Out of Business: The Long Run
In the long run, firms must decide to stay in business or go out of business. • The firm will stay in business if the total revenue is greater
than its total cost. • The firm will go out of business if the total cost exceeds total
revenue.• Going out of business means that all fixed cost obligations are
met.
Does everybody who is losing money go out of business?• Eventually (most sooner rather than later).• There are always exceptions to the rule.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-30
Deriving the Shut-Down and Break-Even Points
The firm can make the same shut-down or operate decisions on the basis of price and average variable cost.
Recall, a firm will shut down if VC > TR , or
A firm will shut down if VC > P x Q
Let’s divide both side of the above equation by Output: VC > Price x OutputOutput Output
AVC > Price OPERATEAVC < Price SHUT DOWN
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-31
Deriving the Shut-Down and Break-Even Points
The firm can make the same stay in business or go out of business decisions on the basis of price and average total cost.
Recall, a firm will go out of business if TC > TR , or
A firm will go out of business if TC > P x Q
Let’s divide both side of the above equation by Output: TC > Price x OutputOutput Output
ATC > Price STAY IN BUSINESSATC < Price GO OUT OF BUSINESS
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-32
ATC, AVC and MC: Graphing These Business Decisions
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-33
Questions for Thought and Discussion
Pretend you are the owner of a coffee house. What would be the difference between shutting down and going out of business?• What are the fixed costs?• What are the variable costs?
Why does it take longer to go out of business than to shut down?
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-34
Varying Factory Capacities: Choosing Plant Size
Each of these ATCs represents a different size factory, with a different optimum level of output represented by the minimum
point on the ATC curve.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-35
Varying Factory Capacities: Choosing Plant Size
ATC1 has the lowest capacity while ATC5 has the highest.
Which size factory would a firm choose to produce 400 units of output?
Answer: plant size 4
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-36
Varying Factory Capacities: Choosing Plant Size
Changes in plant size are long run changes. In the long run, a firm could be virtually any size provided it has the requisite
financing.
2009 by The McGraw-Hill Companies, Inc. All rights reserved. 20-37
Current Issue: Wedding Hall or City Hall?
Every wedding, big or small incurs fixed cost and variable cost.• Fixed costs: flowers, photographer, the wedding hall, the
gowns, the videographer, tux rentals, clergy.• Variable costs: food and drinks; the number of guest will affect
the size of the wedding hall.
A relatively small wedding that cost $20,000 and might pull in gifts worth $10,000.
A much larger wedding might cost $100,000 and might pull in gifts worth $50,000.
Do you go for the large wedding or smaller one?