Production and cost analysis


MC Chapter 8 and 9

 

1)  A short-run production function assumes that

       the level of output is fixed.
      at least one input is a fixed input.
       all inputs are fixed inputs.
      both a and b
       both b and c 

 

2)  Refer to the following table:

Amount of total output produced from various combinations of labor and capital.

Units of Capital

 

1 2 3
Units

of

Labor

12

3

4

5

6

80180

270

340

390

410

100220

330

420

490

530

120260

390

500

590

650

If capital is fixed at two units, what is the marginal product of the fourth unit of labor?

60
80
100
420
none of the above

 

3) Refer to the following table:

Amount of total output produced from various combinations of labor and capital.

Units of Capital

 

1 2 3
Units

of

Labor

12

3

4

5

6

80180

270

340

390

410

100220

330

420

490

530

120260

390

500

590

650

If labor is fixed at three units, how much does the third unit of capital add to total output?

60
80
110
130
none of the above

 

4)  If average product is increasing, then marginal product

must be greater than average product.
must be less than average product.
must be increasing.
cannot be decreasing.
both a and c

 

5  Suppose that you run a house-painting company and currently have 2 workers painting a total of 4 houses per month.  If you hire a third worker, 6 houses can be painted per month.

If you hire a fourth worker, 9 houses can be painted, and a fifth and sixth worker will increase the number of houses painted to 13 and 15, respectively.  Diminishing returns

set in when the fourth worker is hired.
set in when the fifth worker is hired.
set in when the sixth worker is hired.
have not yet set in because output is still increasing.

 

6  The marginal product of labor

measures how output changes as the wage rate changes.
is less than the average product of labor when the average product of labor is decreasing.
is negative when adding another unit of labor decreases output.
both a and b
both b and c

 

7  Refer to the following table:

  

Output

 Total

Cost

Total Fixed Cost Total Variable Cost Average Fixed Cost Average Variable Cost Average TotalCost  Marginal Cost
100200

300

400

 

560_____

_____

_____

__________

_____

_____

60_____

_____

_____

__________

_____

_____

__________

4.00

_____

__________

_____

7.00

_____4.00

_____

_____

 

What is the total fixed cost when 400 units of output are produced?

$500
$2000
$3500
$5000
none of the above

 

8 Refer to the following table:

  

Output

 Total

Cost

Total Fixed Cost Total Variable Cost Average Fixed Cost Average Variable Cost Average TotalCost  Marginal Cost
100200

300

400

 

560_____

_____

_____

__________

_____

_____

60_____

_____

_____

__________

_____

_____

__________

4.00

_____

__________

_____

7.00

_____4.00

_____

_____

What is average total cost when 200 units of output are produced? 
 

$2.30
$2.50
$4.00
$4.80
none of the above

 

9  Refer to the following table:

  

Output

 Total

Cost

Total Fixed Cost Total Variable Cost Average Fixed Cost Average Variable Cost Average TotalCost  Marginal Cost
100200

300

400

560_____

_____

_____

__________

_____

_____

60_____

_____

_____

__________

_____

_____

__________

4.00

_____

__________

_____

7.00

_____4.00

_____

_____

What is average fixed cost when 300 units of output are produced?

$0.60
$3.00
$160
$500
none of the above

 

10 Refer to the following table:

  

Output

 Total

Cost

Total Fixed Cost Total Variable Cost Average Fixed Cost Average Variable Cost Average TotalCost  Marginal Cost
100200

300

400

 

560_____

_____

_____

__________

_____

_____

60_____

_____

_____

__________

_____

_____

__________

4.00

_____

__________

_____

7.00

_____4.00

_____

_____

What is the marginal cost of the 250th unit of output?

$0.14
$2.40
$4.00
$7.40
none of the above
 

11) Marginal cost

measures how total cost changes when input prices change.
measures how total cost changes when one more unit of output is produced.
is less than average cost when average cost is decreasing.
both a and b
both b and c 

 

12)  A firm is currently producing 10 units of output; marginal cost is $24 and average total cost is $6 at this level of output.

The average total cost at 9 units of output is:

$4
$5
$6
$8
none of the above

13)  Suppose a firm is hiring 20 workers at a wage rate of $60.  The average product of labor is 30, the last worker added 12 units of output, and total fixed cost is $3,600.

What is marginal cost?

$.20
$5
$240
$720
none of the above

14)  Suppose a firm is hiring 20 workers at a wage rate of $60.  The average product of labor is 30, the last worker added 12 units of output, and total fixed cost is $3,600.

What is average total cost?

$2
$8
$600
$1800
none of the above 

15)  Short-run average cost is

always greater than or equal to long-run average cost.
always less than long-run average cost.
less than short-run marginal cost when short-run marginal cost is decreasing.
both a and c

16)  When marginal cost is rising, average variable cost

must be rising.
must be falling.
must be constant.
could be rising or falling.

 

17)  A sofa manufacturer currently is using 50 workers and 30 machines to produce 5,000 sofas a day.  The wage rate is $200 and the rental rate for a machine is $1,000.  At these input levels, another worker adds 200 sofas, while another machine adds 500 sofas.  Assuming that the marginal product of labor is constant between 45 and 50 workers and the marginal product of capital is constant between 30 and 31 machines, if the firm uses 45 workers and 31 machines instead, then its

cost will be unchanged, and its output will decrease by 500 units.
cost will be unchanged, and its output will increase by 300 units.
cost will be unchanged, and its output will increase by 500 units.
output will be unchanged, and its cost will decrease by $800.
none of the above

18  A dry cleaner currently has 10 workers and 4 machines.  The workers’ wage rate is $300 per worker and the rental rate for a machine is $500.  The last worker added 600 units to total output and the last machine also added 600 units to total output.  Assuming that the marginal product of labor is constant between 10 and 11 workers and the marginal product of capital is constant between 3 and 4 machines, if the dry cleaner uses 11 workers and 3 machines instead, then

cost will be unchanged and output will increase by 300 units.
cost will be unchanged and output will decrease by 200 units.
output will be unchanged and cost will decrease by $500.
output will be unchanged and cost will decrease by $200.
none of the above

 

19  A firm is using 500 units of labor and 100 units of capital to produce 100 units of output.  The price of labor is $5 per unit and the price of capital is $20 per unit.  At these input levels, another unit of labor adds 50 units of output, while another unit of capital adds 400 units of output.  The firm could increase output by

10 units by spending $1 more on capital and $1 less on labor.
10 units by spending $1 more on labor and $1 less on capital.
350 units by spending $1 more on capital and $1 less on labor.
350 units by spending $1 more on labor and $1 less on capital.
none of the above

20  You overhear a businessman say:  “We want to be big because there are economies associated with bigness.”  What he means is that

total cost decreases as more is produced.
long-run average cost decreases as more is produced.
marginal cost decreases as more is produced.
total fixed cost decreases as more is produced. 

 

21 Diseconomies of scale

 

 exist when fixed cost increases as output increases.
 exist when long−run average cost increases as output increases.
 result eventually as the firm uses more and more labor with a fixed capital stock.
 both a and b
 all of the above

 

22)  If a firm is producing the level of output at which long−run average cost equals long−run marginal cost, then

long−run marginal cost is at its minimum point.
long−run average cost is at its minimum point.
long−run total cost is at its minimum point.
both a and b
all of the above

 

23) If a firm is producing the level of output at which short−run average cost equals long−run average cost, then

the firm has chosen the cost−minimizing combination of inputs to produce this level of output.
with a fixed amount of capital, short−run average cost is greater than long−run average cost at any other level of output.
the firm has chosen the profit-maximizing level of output.
both a and b
all of the above

 

24  Economies of scale exist when

total cost decreases as output increases.
long-run average cost decreases as output increases.
marginal cost decreases as output increases.
fixed cost decreases as output increases. 

25 If there are no fixed costs in the long run, how can it be said that economies of scale arise from spreading fixed costs over more units of output?

Economies of scale is a short run phenomenon, and so diminishing returns is the root cause of scale economies.
It is the cost of quasi-fixed inputs that gets spread over more units of output and drives down average cost in the long run.
Average fixed costs decline continuously as output rises.
Long-run average cost falls because all fixed costs are sunk.