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Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
Multiple Choice
8-1 Fill out the table and answer the question below.
8-2 Fill out the table and answer the question below.
8-3 Fill out the table and answer the question below.
8-4 Fill out the table and answer the question below.
Units of Capital
1 2 3
1 80 100 120
Units 2 180 220 260
of 3 270 330 390
Labor 4 340 420 500
5 390 490 590
6 410 530 650
Amount of total output produced from various combinations of labor and capital.
a. 60
b. 80
c. 100
d. 420
e. none of the above
8-8 Given the table below, if capital is fixed at one unit, diminishing returns begin with the
Units of Capital
1 2 3
1 80 100 120
Units 2 180 220 260
of 3 270 330 390
Labor 4 340 420 500
5 390 490 590
6 410 530 650
Amount of total output produced from various combinations of labor and capital.
8-9 Given the table below, if labor is fixed at three units, how much does the third unit of capital add
to total output?
Units of Capital
1 2 3
1 80 100 120
Units 2 180 220 260
of 3 270 330 390
Labor 4 340 420 500
5 390 490 590
6 410 530 650
Amount of total output produced from various combinations of labor and capital.
8-10 If labor is fixed at 5 units, how much does the second unit of capital add to total output?
Units of Capital
1 2 3
1 80 100 120
Units 2 180 220 260
of 3 270 330 390
Labor 4 340 420 500
5 390 490 590
6 410 530 650
Amount of total output produced from various combinations of labor and capital.
a. 490
b. 390
c. 50
d. 100
e. none of the above
8-13 Suppose you run a pizza shop and currently have two employees. If you hire a third employee,
your output of pizzas per day rises from 55 to 65. If you hire a fourth employee, output rises to
80 per day. A fifth and sixth employee would cause output to rise to 90 and 95 per day,
respectively. Pick the correct statement:
a. Diminishing returns set in with the hiring of the fourth worker.
b. Diminishing returns set in with the hiring of the fifth worker.
c. Diminishing returns set in with the hiring of the sixth worker.
d. Diminishing returns set have not yet set in because output is still increases.
8-14 For a short-run production function in which output is determined by the number of workers
utilized (capital stock held constant), which of the following is FALSE?
a. In general, when there are few workers the marginal product of labor will be increasing.
b. When the marginal product of labor is negative, total product is falling.
c. To determine the marginal product of labor, the capital stock must be held constant.
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
136
d. When diminishing returns set in, adding one more worker decreases output.
e. none of the above
8-15 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
a. set in when the fourth worker is hired.
b. set in when the fifth worker is hired.
c. set in when the sixth worker is hired.
d. have not yet set in because output is still increasing.
8-16
Units Total Average Marginal
of Labor Product Product Product
1 ____ ____ 100
2 ____ 125 ____
3 300 ____ ____
4 ____ ____ 20
5 290 ____ ____
In the table above, how much does the third unit of labor ADD to total output?
a. 100
b. 125
c. 150
d. 300
e. none of the above
8-17
Units Total Average Marginal
of Labor Product Product Product
1 ____ ____ 100
2 ____ 125 ____
3 300 ____ ____
4 ____ ____ 20
5 290 ____ ____
In the table above, what is the average product of four units of labor?
a. 20
b. 60
c. 80
d. 100
e. 350
8-19
Units Total Average Marginal
of Labor Product Product Product
1 ____ ____ 100
2 ____ 125 ____
3 300 ____ ____
4 ____ ____ 20
5 290 ____ ____
In the table above, what is the maximum amount of output that can be produced with two
workers?
a. 50
b. 125
c. 150
d. 250
e. 320
8-20
Units Total Average Marginal
of Labor Product Product Product
1 ____ ____ 100
2 ____ 125 ____
3 300 ____ ____
4 ____ ____ 20
5 290 ____ ____
In the table above, what is the marginal product of the fifth unit of labor?
a. 20
b. 50
c. 80
d. −10
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 50 120 160 180
Units 2 110 260 360 390
of 3 150 360 510 560
Labor 4 170 430 630 690
5 160 480 710 790
If the capital stock is fixed at one unit, how much does the third unit of labor add to total output?
a. 20
b. 40
c. 60
d. 80
e. none of the above
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 50 120 160 180
Units 2 110 260 360 390
of 3 150 360 510 560
Labor 4 170 430 630 690
5 160 480 710 790
If the capital stock is fixed at one unit, diminishing returns begin with the
a. first unit of labor.
b. second unit of labor.
c. third unit of labor.
d. fourth unit of labor.
e. fifth unit of labor.
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 50 120 160 180
Units 2 110 260 360 390
of 3 150 360 510 560
Labor 4 170 430 630 690
If the capital stock is fixed at four units and there are three units of labor, what is the average
product of labor?
a. 50
b. 140
c. 157.5
d. 170
e. none of the above
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 50 120 160 180
Units 2 110 260 360 390
of 3 150 360 510 560
Labor 4 170 430 630 690
5 160 480 710 790
If labor is fixed at three units, how much does the second unit of capital add to total output?
a. 100
b. 150
c. 210
d. 360
e. none of the above
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 20 36 48 53
Units 2 38 68 88 94
of 3 53 94 122 133
Labor 4 63 112 148 164
5 68 120 164 184
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 20 36 48 53
Units 2 38 68 88 94
of 3 53 94 122 133
Labor 4 63 112 148 164
5 68 120 164 184
If the amount of labor used increases from three to four units, the marginal product of the second
unit of capital
a. increases by 8 units.
b. increases by 49 units.
c. decreases by 14 units.
d. decreases by 49 units.
e. none of the above
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 20 36 48 53
Units 2 38 68 88 94
of 3 53 94 122 133
Labor 4 63 112 148 164
5 68 120 164 184
Which of the following input combinations can produce the same level of output?
a. 4K, 2L and 3K, 2L
b. 3K, 2L and 2K, 3L
c. 2K, 3L and 4K, 2L
d. all of the above
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 20 36 48 53
Units 2 38 68 88 94
of 3 53 94 122 133
Labor 4 63 112 148 164
5 68 120 164 184
If the amount of capital increases from 3 to 4 units, the marginal product of the fourth unit of
labor
a. decreases by 3 units.
b. increases by 8 units.
c. increases by 5 units.
d. decreases by 12 units.
e. none of the above
The amount of total output produced from various combinations of labor and capital.
Units of Capital
1 2 3 4
1 20 36 48 53
Units 2 38 68 88 94
of 3 53 94 122 133
Labor 4 63 112 148 164
5 68 120 164 184
8-33 If a firm is producing a given level of output in an economically efficient manner, then it must be
the case that
a. this is the lowest cost method of producing that output.
b. each input is producing its maximum marginal product.
c. this output level is the most that can be produced with the given level of inputs.
d. both a and c
e. none of the above
8-34 A firm is using a single variable input, labor, with a given amount of a fixed input, capital. If the
level of capital is decreased,
a. the total product curve of labor curve shifts downward.
b. the average product curve of labor curve shifts downward.
c. the marginal product curve of labor shifts downward.
d. all of the above
e. none of the above
8-36 Given the table below, as the number of workers increases from 10 to 15, output per worker
a. 28 units
b. 29 units
c. 130 units
d. 420 units
e. none of the above
8-38 Given the table below, diminishing returns begin with the
a. 1st worker.
b. 5th worker.
c. 10th worker.
d. 11th worker.
e. 16th worker.
8-39 Given the table below, the maximum amount that can be produced using 20 workers is
a. 442 units.
b. 530 units.
c. 22 units.
d. 420 units.
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
144
e. 26.5 units.
8-43 Given the table below, what is the total fixed cost when 400 units of output are produced?
a. $500
b. $2000
c. $3500
d. $5000
e. none of the above
8-44 Given the table below, what is average total cost when 200 units of output are produced?
8-45 Given the table below, what is average fixed cost when 300 units of output are produced?
a. $0.60
b. $3.00
c. $160
d. $500
e. none of the above
8-46 Given the table below, what is the marginal cost of the 250th unit of output?
a. $0.14
b. $2.40
c. $4.00
d. $7.40
e. none of the above
8-49
Suppose that the firm's only variable input is labor. When 50 workers are used, the average
product of labor is 50 and the marginal product of labor is 75. The wage rate is $80 and the total
cost of the fixed input is $500.What is average variable cost?
a. $0.63
b. $1.60
c. $3.20
d. $10.00
e. none of the above
8-50 Suppose that the firm's only variable input is labor. When 50 workers are used, the average
product of labor is 50 and the marginal product of labor is 75. The wage rate is $80 and the total
cost of the fixed input is $500.What is the marginal cost?
a. $0.63
b. $0.94
c. $1.60
d. $3.20
e. none of the above
8-51 Suppose that the firm's only variable input is labor. When 50 workers are used, the average
product of labor is 50 and the marginal product of labor is 75. The wage rate is $80 and the total
cost of the fixed input is $500. What is average total cost?
a. $0.825
b. $0.63
c. $1.80
d. $4.10
e. none of the above
8-52 Suppose that the firm's only variable input is labor. When 50 workers are used, the average
product of labor is 50 and the marginal product of labor is 75. The wage rate is $80 and the total
cost of the fixed input is $500. Which of the following is true?
a. Average variable cost is increasing.
b. Marginal cost is increasing.
c. Average variable cost is decreasing.
d. Cannot determine without more information.
8-53 Suppose that the firm's only variable input is labor. When 50 workers are used, the average
product of labor is 50 and the marginal product of labor is 75. The wage rate is $80 and the total
cost of the fixed input is $500. Suppose that installation of a new assembly line increases the
output produced per worker. The cost per unit of output
a. will increase.
b. will decrease.
c. will be unchanged.
d. is at its maximum.
e. is at its minimum
8-55 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:
a. $4
b. $5
c. $6
d. $8
e. none of the above
8-56
Above is a firm's average product of labor and marginal product of labor curves. The price of
labor is $60 per unit. Given this, diminishing returns set in with the
a. 3rd unit of labor.
b. 6th unit of labor.
c. 10th unit of labor.
d. 12th unit of labor.
e. 14th unit of labor.
Above is a firm's average product of labor and marginal product of labor curves. The price of
labor is $60 per unit. When the firm uses 6 units of labor, what is marginal cost?
a. $0.25
b. $5
c. $6.67
d. $7.06
e. $10.25
Above is a firm's average product of labor and marginal product of labor curves. The price of
labor is $60 per unit. When the firm uses 4 units of labor, what is AVERAGE variable cost?
a. $10
b. $24
c. $124
d. $240
e. none of the above
8-59 Based on the following table, what is total variable cost when 100 units of output are produced?
8-61 Based on the following table, the additional cost of producing the 170th unit of output is:
8-62 Based on the following table, what is average variable cost when output is 200?
8-63 Based on the following table, the additional cost of producing the 60th unit of output is:
8-64 Based on the following table, what is average fixed cost when 200 units of output are produced?
8-65 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?
a. $.20
b. $5
c. $240
d. $720
e. none of the above
8-66 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?
a. $2
b. $8
c. $600
d. $1800
e. none of the above
8-67 The capital stock is fixed at 5 units, the price of capital is $60 per unit, and the price of labor is
$20 per unit.
Units of Units of
Labor Output
2 10
4 26
6 46
8 60
10 72
12 80
8-68 The capital stock is fixed at 5 units, the price of capital is $60 per unit, and the price of labor is
$20 per unit.
Units of Units of
Labor Output
2 10
4 26
6 46
8 60
10 72
12 80
Based on the above, if the firm produces 60 units of output, what is average variable cost?
a. $5
b. $7.67
c. $20
d. $57.50
e. $2.67
8-69 The capital stock is fixed at 5 units, the price of capital is $60 per unit, and the price of labor is
$20 per unit.
Units of Units of
Labor Output
2 10
4 26
6 46
8 60
10 72
12 80
Based on the above, how much does the 12th unit of output add to the firm's total variable cost?
a. $2.50
b. $4
c. $5
d. $20
e. $40
In the figure above, the wage rate is $600 and total fixed cost is $15,000. When there are 40
workers, what is average variable cost?
a. $0.23
b. $5.00
c. $4.10
d. $6.00
e. $12.00
8-71
In the figure above, the wage rate is $600 and total fixed cost is $15,000. How much output does
the firm produce when average variable cost is at its minimum?
a. 270
b. 375
c. 30
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
154
d. 1,600
e. 4,800
8-72
In the figure above, the wage rate is $600 and total fixed cost is $15,000. What is average
variable cost at its minimum?
a. $3.75
b. $30
c. $0.94
d. $28
e. $2.80
If the firm produces 180 units of output, what is total variable cost?
a. $1,200
b. $1,800
c. $14,400
d. $17,100
e. none of the above
8-75 In the table below, the capital stock is fixed at 40 units, the price of capital is $15 per unit, and the
price of labor is $80 per unit.
Units of Units of
Labor Output
5 40
10 100
15 180
20 220
8-76 In the table below, the capital stock is fixed at 40 units, the price of capital is $15 per unit, and the
price of labor is $80 per unit.
Units of Units of
Labor Output
5 40
10 100
15 180
20 220
How much does the 50th unit of output add to the firm's total cost?
a. $6.67
b. $10
c. $400
d. $600
e. none of the above
8-77 A firm produces 4,000 units of output using 500 workers. Marginal cost is $10, the wage rate is
$160, and total fixed cost is $100,000. What is average variable cost?
a. $0.32
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
156
b. $16
c. $20
d. $1,280
e. none of the above
8-78 A firm produces 4,000 units of output using 500 workers. Marginal cost is $10, the wage rate is
$160, and total fixed cost is $100,000.What is the marginal product of labor?
a. $8 per worker
b. 8 units of output per worker
c. $16 per worker
d. 16 units of output per worker
e. none of the above
8-79 A firm produces 4,000 units of output using 500 workers. Marginal cost is $10, the wage rate is
$160, and total fixed cost is $100,000.When output is 4,000 units,
a. average variable cost is decreasing.
b. average variable cost is increasing.
c. average total cost is decreasing.
d. average total cost is increasing.
e. both a and c
8-80
In the above figure, what is the TOTAL cost of producing 5 units of output?
a. $10
b. $60
c. $100
d. $225
e. $2,000
In the above figure, what is the AVERAGE total cost of producing 10 units of output?
a. $4
b. $8
c. $12
d. $50
e. $360
8-82
"Ford built 18 vehicles per auto employee in North America last year, while GM could only
manage 12." (The Wall Street Journal)
"Ford built 18 vehicles per auto employee in North America last year, while GM could only
manage 12." (The Wall Street Journal)
"At Huffy's ... bicycle factory, 1,700 employees turn out 15,000 bicycles a day (in 1987).
Five years ago, it required 2,200 workers to make 10,000 bikes daily." (The Wall Street
Journal).
In 1987,
a. total product was 15,000 bicycles per day.
b. the average product of labor was 0.11.
c. the marginal product of labor was 8.8.
d. both a and b
e. both a and c
"At Huffy's ... bicycle factory, 1,700 employees turn out 15,000 bicycles a day (in 1987).
Five years ago, it required 2,200 workers to make 10,000 bikes daily." (The Wall Street
Journal).
Holding all else equal, we can conclude that, over the past five years,
a. Huffy's average variable cost decreased.
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
159
b. Huffy's average variable cost increased.
c. Huffy's marginal cost decreased.
d. Huffy's marginal cost increased.
e. both a and c
8-87 The capital stock is fixed at 50 units, the price of capital is $30 per unit, and the price of labor is
$25 per unit.
Average
Output Variable Cost
10 $40
20 30
30 45
40 60
Given the above, if the firm produces 40 units of output, what is total variable cost?
a. $1.50
b. $60
c. $100
d. $2,400
e. none of the above
8-88 The capital stock is fixed at 50 units, the price of capital is $30 per unit, and the price of labor is
$25 per unit.
Average
Output Variable Cost
10 $40
20 30
30 45
40 60
Given the above, if the firm produces 20 units of output, what is average fixed cost?
a. $1.50
b. $50
c. $150
d. $600
e. none of the above
8-89 The capital stock is fixed at 50 units, the price of capital is $30 per unit, and the price of labor is
$25 per unit.
Average
Output Variable Cost
10 $40
20 30
30 45
40 60
Given the above, how much does the 23rd unit of output add to the firm's total cost?
a. $75
b. $135
c. $750
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
160
d. $1,350
e. none of the above
8-90 The capital stock is fixed at 50 units, the price of capital is $30 per unit, and the price of labor is
$25 per unit.
Average
Output Variable Cost
10 $40
20 30
30 45
40 60
Given the above, if the firm produces 30 units of output, how many units of labor does the firm
use?
a. 30
b. 45
c. 54
d. 60
e. none of the above
8-91 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
At what output does the firm reach minimum average variable cost?
a. 7,400
b. 8,000 units
c. 100 units
d. 6,000
e. 600
8-93 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
8-94 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
When the firm uses 40 units of labor, what is AVC at this level of output?
a. $120
b. $400
c. $40
d. $70
e. $86
When the firm uses 40 units of labor, what is marginal cost at this level of output?
a. $70
b. $35
c. $60
d. $280
e. $55
8-96 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
8-97 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
When the firm uses 120 units of labor, how much output does it produce?
a. 7,000 units
b. 70 units
c. 8,400 units
d. 9,200 units
e. 7,500 units
When the firm uses 120 units of labor, what is its AVC at this output?
a. $40
b. $70
c. $60
d. $56
e. none of the above
8-99 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
8-100 The following graph shows the marginal and average product curves for labor, the firm's only
variable input. The monthly wage for labor is $2,800. Fixed cost is $160,000.
When the firm uses 120 units of labor, what is average total cost at this output?
a. $59
b. $40
c. $190
d. $84
e. $120
8-1F For each of the following decisions determine whether the manager is in a short-run or long-run
situation.
a. A grocery store manager decides to stay open 24 hours a day rather than 16.
b. A grocery store chain decides to open another store in the city.
c. An office manager decides to add 5 new PC’s.
d. An office manager decides to close the old office and move to a larger one.
e. A university president decides to build three new classroom buildings to cope with an
expected increase in students.
f. A university president decides to increase faculty teaching loads to cope with an
expected increase in students.
8-2F Firm A plans to produce 500 units per day of good X. The firm can choose either of the following
two input combination t produce 500 units per day.
Process 1 Process 2
Labor 8 12
Capital 14 7
To obtain the services of labor and capital for a day, firm A must pay wages of $100 per unit of
labor and $80 per unit of capital. For firm A, process ________ (1, 2) is economically efficient
because the efficient process costs $___________ compared with $__________ for the inefficient
process. Show your work here:
Use the following table, showing the total output produced with various levels labor and each of two
levels of capital to answer the next 4 questions.
Units of Capital
Units of
Labor K=2 K=4
1 20 40
2 50 100
3 70 140
4 80 160
8-5F Assume capital is fixed at 2 units and the wage rate of labor is $200.
a. As labor is increased from 1 to 2 units, AVC ______ (rises, falls) from $______ to
$______.
b. As labor is increased from 1 to 2 units, MC ______ (rises, falls) from $______ to
$______.
c. As labor is increased from 3 to 4 units, AVC ______ (rises, falls) from $______ to
$______.
d. As labor is increased from 3 to 4 units, MC ______ (rises, falls) from ______ to ______.
8-6F Assume capital is fixed at 4 units and the wage rate of labor is $600.
a. As labor is increased from 1 to 2 units, AVC ______ (rises, falls) from $______to
$______.
b. As labor is increased from 1 to 2 units, MC ______ (rises, falls) from $______ to
$______.
c. As labor is increased from 3 to 4 units, AVC ______ (rises, falls) from $______ to
$______.
d. As labor is increased from 3 to 4 units, MC ______ (rises, falls) from $______ to
$______.
8-7F In order to answer this question you should fill in the blanks in the following table.
8-10F A firm is using a single variable input, labor, with a fixed input, capital. If the amount of capital
is increased,
a. the total product curve will ______.
b. the average product curve will ______.
c. the marginal product curve will ______.
8-11F
The graph above shows a firm’s marginal and product curves for labor, the only variable input.
The wage rate of labor is $200 and the fixed cost is $6,000. When average variable cost reaches
its minimum,
a. output is ________ units.
b. AVC is $________ and MC is $________ at this level of output.
c. ATC is $________.
The graph above shows a firm’s marginal and product curves for labor, the only variable input.
The wage rate of labor is $200 and the fixed cost is $6,000. When 15 workers are hired,
a. output is ______ units.
b. AVC is $______ and MC is $______ at this level of output.
c. AVC is ______ (increasing, decreasing) and MC is ______ (increasing, decreasing) at this
level of output.
8-13F
The graph above shows a firm’s marginal and product curves for labor, the only variable input.
The wage rate of labor is $200 and the fixed cost is $6,000. When 40 workers are hired,
Chapter 8: PRODUCTION AND COST IN THE SHORT RUN
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171
a. output is ______ units.
b. AVC is $______ and MC is $______ at this level of output.
c. AVC is ______ (increasing, decreasing) and MC is ______ (increasing, decreasing) at this
level of output.
8-14F According to production engineers, the firm’s production function gives the following outputs
that can be produced from various combinations of labor and capital. The firm can purchase
labor services (w) for $20 per unit and capital services (r) for $40 per unit.
Units of Capital
1 2 3 4
1 20 22 28 40
Units 2 42 45 58 87
of 3 62 69 87 137
Labor 4 77 87 110 197
5 87 100 130 250
a. If the firm wishes to produce 87 units of output, which input combination is technically
efficient: 5L and 1K, 4L and 2K, 3L and 3K, or 2L and 4K? Explain your answer.
b. If the firm wishes to produce 87 units of output, which input combination is economically
efficient: 5L and 1K, 4L and 2K, 3L and 3K, or 2L and 4K? Explain your answer.
c. If input prices change to $40 per unit of labor (w = 40) and $20 per unit of capital (r =
$20), what is the economically efficient input combination to produce 87 units? Explain.
d. Suppose the firm operates in the short run with 4 units of capital. Does the firm
experience diminishing returns? Explain using the production data in the preceding table.
Language: English
V O YA G E
TO
Guinea, Brasil, and the
West-Indies;
In His Majesty’s Ships, the S w a l l o w
and W e y m o u t h .
Describing the several Islands and Settlements, viz—Madeira, the Canaries, Cape
de Verd, Sierraleon, Sesthos, Cape Apollonia, Cabo Corso, and others on the
Guinea Coast; Barbadoes, Jamaica, &c. in the West-Indies.
The Colour, Diet, Languages, Habits, Manners, Customs, and Religions of the
respective Natives, and Inhabitants.
With Remarks on the Gold, Ivory, and Slave-Trade; and on the Winds, Tides
and Currents of the several Coasts.
By J O H N A T K I N S ,
Surgeon in the Royal Navy.
I.
That Widows of Commission and Warrant Officers of the Royal
Navy, shall be reputed proper Objects of the Charity, whose Annual
Incomes arising from their Real and Personal Estates, or otherwise,
do not amount to the following Sums, viz.
l. s. d.
The Widow of a Captain or Commander, 45 0 0
The Widow of a Lieutenant or Master, 30 0 0
The Widow of a Boatswain, }
Gunner, Carpenter, }
Purser, Surgeon, }
Second Master of } 20 0 0
a Yacht, or Master of a }
Naval Vessel warranted }
by the Navy Board, }
And that where any such Widow is possessed of, or interested in any
Sum of Money, the Annual Income and Produce thereof, shall be
computed and deemed, as annually yielding Three Pounds per
Centum, and no more.
II.
That to avoid Partiality and Favour in the Distribution of the
Charity, Widows of Officers of the same Rank shall have an equal
Allowance, the Proportion of which shall be fixed Annually by the
Court of Assistants, according to their Discretion; and that in order
thereunto, the said Court may distribute Annually such Part of the
Monies, arising by the said Charity, among the Widows, as they think
proper; and to lay out such other Part thereof in South-Sea
Annuities, or other Government Securities, as to them shall seem
meet, for raising a Capital Stock for the general Benefit of the
Charity, where the Application is not particularly directed by the
Donors.
III.
That in the Distribution of Allowances to poor Widows, the same
be proportionate to one another, with respect to the Sum each is to
receive, according to the following Division, viz.
The Widow of a Captain or Commander shall receive a Sum One
Third more than the Widow of a Lieutenant or Master.
The Widow of a Lieutenant or Master shall receive a Sum One
Third more than the Widow of a Boatswain, Gunner, Carpenter,
Purser, Surgeon, Second Master of a Yacht, or Master of a Naval
Vessel Warranted by the Navy Board.
IV.
That Widows admitted to an Annual Allowance from the Charity,
shall begin to enjoy it from the First Day of the Month following the
Decease of their Husbands, provided they apply within Twelve
Months for the same; otherwise, from the Time of their Application.
V.
That if any Widow, admitted to the Charity, marries again, her
Allowance from thenceforth shall cease.
VI.
That in order to prevent Abuses, no Widow shall be admitted to
the Benefit of the Charity, who has not been married for the Space of
Twelve Months to the Officer by whose Right she claims the same,
unless the said Officer was killed or drowned in the Sea Service. And
if any Officer marries after the Age of Seventy Years, his Widow shall
be deemed unqualified to receive the Charity.
VII.
That if the Widow of an Officer lives in the Neighbourhood of any
of His Majesty’s Dock-Yards, the Commissioner of the Navy residing
there, and some of the Principal Officers of the Yard, or the said
Officers of the Yard, where there is no Commissioner, shall inform
themselves thoroughly of the Circumstances of the Deceased; and
being satisfied that the Widow comes within the Rules of the Charity,
shall sign and give her the following Certificate gratis, viz.
These are to certify the Court of Assistants for managing the
Charity for Relief of Poor Widows of Commission and Warrant
Officers of the Royal Navy, That A. B. died on the _________ and
has left the Bearer C. B. a Widow; and according to the best
Information we can get from others, and do really believe ourselves,
is not possessed of a clear annual Income to the Value of
___________ and therefore she appears to us to be entituled to the
Benefit of the said Charity under their Direction.
Besides which, the Widow is to make Affidavit, that her Annual
Income is not better than is expressed in the said Certificate, and
that she was legally married (naming the Time when, and the Place
where) to the Officer, in whose Right she claims the Benefit of the
Charity.
VIII.
That if the Widow resides in any other Part of his Majesty’s
Dominions, a Certificate of the like Nature is to be signed by the
Minister of the Parish, a Justice of the Peace, and two or more
Officers of the Navy, who are best acquainted with her
Circumstances; and she is to make such Affidavit as is before
mentioned.
IX.
That all Widows applying for the Benefit of the Charity, are to
make Affidavit, that they are unmarried.
X.
That Widows admitted to the Charity shall once in every Year, at
the Time that shall be appointed, bring to the Court of Assistants
their Affidavits, containing a particular State of their Circumstances,
and that they continue unmarried.
XI.
That Widows of Masters and Surgeons are to apply to the Navy
Office, and receive from thence a Certificate of the Quality of their
Husbands in the Navy, which shall be given them Gratis, before they
apply to the Court of Assistants, to be admitted to the Charity.
XII.
That no Officer or Servant employed in the Business or Service of
this Charity, shall receive any Salary, Reward, or other Gratuity, for
his Pains or Service in the Affairs of the said Charity, but that the
whole Business thereof shall be transacted Gratis.
V O YA G E
TO