ECON 1110 Lecture Notes - Lecture 20: Nominal Interest Rate, Consumption Function, Real Interest Rate

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3 Oct 2016

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Gdp depends on: quantity of inputs (factors of production, ability to turn inputs into outputs factors of production: input most important are land, labor. K & l are fixed economy has set amount assumption: factors are fully utilized capital & labor fully employed. Y = f(k,l) increases in tech increased output w/ same resources production function has constant returns to scale proportional increase of output given increase in resources. Distribution factor prices: amount paid to factor of production labor paid wages capital paid rental rate competitive firms have little influence on mkt prices many sellers in mkt little control price-taker of output & input profit=revenue-labor costs-capital costs profit=f(k,l)-wl-rk. Mpl: marginal product of labor extra output firm gets by increasing labor one unit. Mpl = f(k,l+1)-f(k,l) diminishing marginal product: mpl decreases as l increases over time extra revenue=mpl*p firm stops hiring when mpl*p=w. If production function is constant returns to scale then economic profit is 0.

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

For each of the following assertions, please indicate whether they are true or false. No credit will be given without an explanation as to why your claim is correct.

(a) (4 points) There are two firms: one has production function f (K, L) = K + L and the other has production function f?(K,L) = (K+L)2 ?50. Assertion: These two firms have the same shaped isoquants, but different technology.

(b) (4 points) Assertion: In the short run, if the marginal product of labor curve is decreasing, then it is below the average product of labor curve.

(c) (4 points) A T-shirt company can make 1000 T-shirts with 2 workers and 1 machine. It continues to make 1000 T-shirts if it has more than 2 workers but only 1 machine or 2 workers and more than 1 machine. The company currently produces 1000 shirts per month for its single customer. The price of capital falls, but the firm must still produce 1000 shirts per month. Let all inputs be variable. Assertion: The firm will not hire or fire any workers.

(d) (4 points) A technology firm has a Cobb Douglas production function and measures the marginal rate of technical substitution (MRTSLK) at MPL/MPK = 3. The prices of labor and capital faced by the firm are such that currently W/R = 2. Assertion: The tech firm can lower costs (holding output fixed) by laying off some of its labor force and using more capital.

3. A firm has a long-run production function:

(a) In the short run, K = 81 is fixed. Find the short-run production function. What is the marginal product of labor in the short-run?

(b) If w = 10 and r = 15.24, find the short-run cost function. To do this, first, figure out how many workers are needed to produce Q units of output, and then add up the (fixed) SR cost of capital and the cost of labor as a function of Q. How many workers are needed to produce Q = 10?

(c) Write down equations for an average total cost (ATC) and average variable cost (AVC) as a function of Q. What is ATC when Q = 10? What as AVC when Q = 10?

(d) Write down the equation for the marginal cost (MC) as a function of Q. What is the marginal cost of producing Q = 10 in the short run?

(e) Verify that MC = w*MPL, evaluating the marginal product of labor from part (3a) at the number of workers needed to produce 10 units of output.

(f) In the long run, both capital and labor are variable. Find the marginal product of labor and the marginal product of capital. Find the marginal rate of technical substitution. On a properly-labeled graph, draw an isoquant for Q = 10.

(g) Does the production function exhibit increasing, decreasing, or constant returns to scale?

(h) Find the lowest cost method of producing Q = 10 (two unknowns: K and L). To do this, equate the MRTS with the input price ratio w r (one equation) and use the isoquant for Q = 10 as the second equation.

(i) Use the fact that the cost, in the long run, is wL + rK to find the LR cost of producing Q = 10. What is the long-run average cost (LRAC) at Q = 10?

(j) (Hard) More generally, use the MRTS and the production function to find the cost of producing any quantity Q. To do this, repeat the above exercise but keep Q as an (unknown) variable, and solve for K and L as functions of Q.

(k) On a properly labeled graph, depict ATC from part (3b) and LRAC from part (3j). Why is LRAC everywhere below ATC?

(l) What is the production level at which SRAC is minimized?

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ECON 1110 Lecture Notes - Lecture 20: Nominal Interest Rate, Consumption Function, Real Interest Rate

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