ECON 002 Lecture Notes - Lecture 8: Production Function, Diminishing Returns, Human Capital

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25 Feb 2015

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Econ-002: macro economics lecture 8 productivity and production function. Given the crs production function: y/l = a * (k/l, h/l, n/l: hint, here we treat 1/l = . H/l average human capital per worker. N/l average amount of natural resources per worker. We must have diminishing returns to a particular input. If increasing all inputs together increase y by the same amount, then if we increase one factor of input, y will not increase by the same amount. K/l is low, it is really reactive (workers in china respond to subsidy and tax policy stronger than those of u. s. ) Stimulating a: political and economic stability (constitution, effective courts, less corruption, strengthen of property rights); trading with foreign countries (outward-oriented policies generally have better outcome than inward- oriented ones: portfolio foreign investment vs. direct foreign investment. Direct: i. e. foreign company start new business in the nation.

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

A cost-minimizing firm has the following short-run production function:
Q=f (L,K)=72L+5L²-0.2L³

a) Briefly explain why this is a short-run production function.

b) At what level of employment would be diminishing returns set in for the variable input?

c) Fin the levels of employment that define stage two in the production process.

d)If the market-determined real wage rate is $20 determine the amount of labor a cost-minimizing firm would hire in order to minimize the total cost of production.

2) a) Briefly explain the concept of "Return to scale". What form of "Return toScale" does the following production function exhibit? Explain

b) Q=f(L,K)=L^0.3 K^0.7

Suppose a cost-minimizing firm wishes to change its scale of production and needs to know the combination of labor and capital to employ. If the first's total cost outlay is $14. Fin this combination using the information below and given that the prices of labor and capita are $1 and $3 per unit respectively.

Q= 0 1 2 3 4 5 6 7 8

TPI=0 11 20 28 35 41 45 46 46.5

TPK=0 24 45 63 78 87 93 96 97

where TPI AND TPK represent the total product of labor and total product of capital respectively.

3) Given the demand and supply schedules for semiconductors in a perfectly competitive market:

Q_d=60-10P+0.5I, Q_s=-10+4P-2C

Where I=average income of the demanders of this production

C=unit cost of the inputs used in the production of this commodity.

a) Find the expression for equilibrium price and equilibrium quantity transcended in this market.

b)Find the initial equilibrium and equilibrium quantity ifI=1000 and C=20

c) Determine the impact of an increase in income from 1000 to1200 on the initial equilibrium values.

d) Assume that an improvement in the technology of producing this commodity results in an increase in supply by a factor of 5, how will this development affect the initial equilibrium values?0

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ECON 002 Lecture Notes - Lecture 8: Production Function, Diminishing Returns, Human Capital

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