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ECON 2010 Lecture Notes - Lecture 14: Diminishing Returns, Average Variable Cost, Marginal Cost

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School
Memorial University
Department
Economics
Course
ECON 2010
Professor
nikitalyssenko

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Document Summary

Marginal costs measure the change in costs when the company produces a bit more output (say an extra unit of output) Formally we define marginal costs as follows: mc = ( tc/ q) This expression implies that marginal cost function represents the slope of the total cost function. To recall, the fixed costs do not depend on output, thus we can re-write the above equation as: mc = ( vc/ q) Therefore, marginal cost function can also be interpreted as the slope of the variable cost function. Figure 7-13 presents the typical average variable cost curve, average cost curve and marginal cost curve. Note: the marginal cost curve intersects average cost curve and average variable cost curve at their minimum points. It is very important to indicate that when economists discuss costs they mean economic costs. Economic cost of production includes both explicit and implicit costs.

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Related Questions

The law of eventually diminishing marginal returns: (Points : 1)

a. states that each and every increase in the amount of the variable factor employed in the production process will yield diminishing marginal returns.
b. is a mathematical theorem that can be logically proved or disproved
c. is the rate at which one input may be substituted for another input in the production process
d. None of the above

The marginal product is defined as: (Points : 1)
a. the ratio of total output to the amount of the variable input used in producing the output
b. the incremental change in total output that can be produced by the use of one more unit of the variable input in the production process
c. the percentage change in output resulting from a given percentage change in the amount of the variable input X employed in the production process with Y
d. None of the above

The rate at which one input X may be substituted for another input Y in a production process, while total output remains constant, is: (Points : 1)
a. the slope of the isoquant curve
b. the marginal rate of technical substitution

c. equal to MPx/MPy


d. all of the above
e. none of the above

Marginal revenue product is: (Points : 1)
a. defined as the amount that an additional unit of the variable input adds to the total revenue
b. equal to the marginal factor cost of the variable factor times the marginal revenue resulting from the increase in output obtained
c. equal to the marginal product of the variable factor times the marginal product resulting from the increase in output obtained
d. a and b
e. a and c

Marginal factor cost is defined as the amount that an additional unit of the variable unit of the variable input adds to ____________. (Points : 1)
a. marginal cost
b. variable cost
c. marginal rate of technical substitution
d. total cost
e. none of the above

In the Cobb-Douglas production function Q=aL^?1.K^?2 ______________. (Points : 1)
a. the marginal product of labor (L) is equal to ?1
b. the average product of labor (L) is equal to ?2
c. if the amount of labor input (L) is increased by 1 percent, then output will increase by ?1 percent
d. a and b
e. a and c

The short-run cost function is: (Points : 1)
a. where all inputs to the production process are available
b. relevant to decisions in which one or more inputs to the production process are fixed
c. not relevant to optimal pricing and production output decision facilities
d. crucial in making optimal investment decisions in new production facilities
e. none of the above

Theoretically, in a long-run cost function: (Points : 1)
a. all inputs are fixed
b. all inputs are considered variable
c. some inputs are always fixed
d. capital and labor are always combined in fixed proportions

A linear total cost function implies that: (Points : 1)
a. marginal costs are constant as output increases
b. average total costs are continually decreasing as output increases
c. a and b
d. none of the above

1. When economists speak of "marginal," they mean
a. Opportunity.
b. Scarcity.
c. Incremental.
d. Unimportant.

2. Managers undertake an investment only if
a. Marginal benefits of the investment are greater than zero.
b. Marginal costs of the investment are greater than marginal benefits of the investment.
c. Marginal benefits are greater than marginal costs.
d. Investment decisions do not depend on marginal analysis.

3. A firm produces 500 units per week. It hires 20 full-time workers (40 hours/week) at an hourly wage of $15. Raw materials are ordered weekly, and they cost $10 for every unit produced. The weekly cost of the rent payment for the factory is $2,250. How do the overall costs break down?
a. Total variable cost is $17,000; total fixed cost is $2,250; total cost is $19,250.
b. Total variable cost is $12,000; total fixed cost is $7,250; total cost is $19,250.
c. Total variable cost is $5,000; total fixed cost is $14,250; total cost is $19,250.
d. Total variable cost is $5,000; total fixed cost is $2,250; total cost is $7,250.

4. Total costs increase from $1,500 to $1,800 when a firm increases output from 40 to 50 units. Which of the following is true if marginal cost is constant?
a. FC = $100
b. FC = $200
c. FC = $300
d. FC = $400

5. A manager of a clothing firm is deciding whether to add another factory in addition to one already in production. The manager would compare
a. The total benefits gained from the two factories to the total costs of running the two factories.
b. The incremental benefit expected from the second factory to the total costs of running the two factories.
c. The incremental benefit expected from the second factory to the cost of the second factory.
d. The total benefits gained from the two factories to the incremental costs of running the two factories.

6. A firm is thinking of hiring an additional worker to their organization who they believe can increase total productivity by 100 units a week. The cost of hiring him or her is $1,500 per week. If the price of each unit is $12,
a. The MR of hiring the worker is $1,500.
b. The MC of hiring the worker is $1,200.
c. The firm should not hire the worker since MB < MC.
d. All the above

7. A retailer has to pay $9 per hour to hire 13 workers. If the retailer only needs to hire 12 workers, a wage rate of $7 per hour is sufficient.
What is the marginal cost of the 13th worker?
a. $117
b. $9
c. $33
d. $84

8. If a firm's average cost is rising, then
a. Marginal cost is less than average cost.
b. Marginal cost is rising.
c. Marginal cost is greater than average cost.
d. The firm is making an economic profit.

9. After the first week of his MBA Managerial Economics class, one of your pharmaceutical sales representatives accuses you of committing the sunk-cost fallacy by refusing to allow him to reduce price to make what he considers to be a really tough sale. Which of the following suggests the sales representative may be right?
a. Most of the costs of drug development are sunk, not fixed.
b. Sales representatives are paid a sales commission on revenue, so they don't care about the costs of drug development.
c. Sales representatives don't worry that a low price today may make it more difficult for the company's other sales representatives to charge higher prices to their customers, tomorrow.
d. Sales representatives think only about one thing, sales.

10. A company is producing 15,000 units. At this output level, marginal revenue is $22, and the marginal cost is $18. The firm sells each unit for $48 and average total cost is $40.
What can we conclude from this information?
a. The company is making a loss.
b. The company needs to cut production.
c. The company needs to increase production.
d. Not enough information is provided.

Q1) Soundscape Enterprises manufactures Sonoblast, a device that produces a high-pitched reminder to telemarketers that they have once again disturbed you just when you were sitting 1⁄2 down to dinner. The production function for Sonoblasts is given by the formula Q = 2KL where Q is in units of output per period, K is in machine-weeks per period, and L is in labour- weeks per period. The machine rental rate r is $512 per machine-week and the wage rate w is $128 per labour-week. In the short run, K is fixed at 4 machine-weeks per period.

a. Give the formulas for the short-run production function and the marginal product of labour (MPL) function.

b. Express variable cost (VC), total cost (TC), and marginal cost (MC) as functions of L and as functions of Q; and average variable cost (AVC), average fixed cost (AFC) and average total cost (ATC) as functions of Q.

c. At what level of Q is ATC minimized? What are the values of ATC and of MC at this level of output?

d. If K is increased to a fixed 16 units, at what level of Q is ATC minimized, and what are the values of ATC and of MC at this level of output?

e. In the long run, with all inputs variable, what is the optimal K/L ration with input prices unchanged? How many units of L and of K would be required to produce the levels of output in 1c and in 1d and what is the average cost of producing Sonoblasts in each case? Explain the relation between your results here and those for 1c and 1d.