Question

In: Economics

Consider the production function from question 1: q = L^1/5 K^4/5. Marginal cost is $5, P=(8−...

Consider the production function from question 1: q = L^1/5 K^4/5. Marginal cost is $5, P=(8− 1 2q), and FC = $1.

(a) What is II*? That is, what is the maximum profit?

(b) Should this company shut-down based on profit function, q*, maximum profit?

(c) Suppose that the profit amount found in (a) is the long-run equilibrium profit. Is this company in a perfectly competitive market?

Solutions

Expert Solution


Related Solutions

Consider production function Q= L^3 * K^4 - L^2 (a) Determine the MRTS L,K for this...
Consider production function Q= L^3 * K^4 - L^2 (a) Determine the MRTS L,K for this production function (b) Does this production function have an uneconomic region? If so, describe the region algebraically. (Hint: your answer will be an inequality like this: K<5L)
Let the production function be Q=K^(1/3)L^(1/5). Is the Marginal Product of Labor increasing decreasing or constant?...
Let the production function be Q=K^(1/3)L^(1/5). Is the Marginal Product of Labor increasing decreasing or constant? Show your work.
A firm production is represented by the following Cobb-Douglas function: Q = K^1/5 L^4/5. The rental...
A firm production is represented by the following Cobb-Douglas function: Q = K^1/5 L^4/5. The rental rate, r, of capital is given by $240 and the wage rate is $30. a. For a given level of output, what should be the ratio of capital to labor in order to minimize costs? b. How much capital and labor should be used to produce 400 units? How much is the total cost? c. What is the short run total cost if output...
Consider the firm with production function given by q = f ( L , K )...
Consider the firm with production function given by q = f ( L , K ) = L ^(1/4) K^(1/4). If w = r = 4, what is the change in the producer surplus when the price increases from $16 to $32? (round your answer to one decimal place if necessary)
Suppose the production function of a firm is given by q=L^1/4 K^1/4. The prices of labor...
Suppose the production function of a firm is given by q=L^1/4 K^1/4. The prices of labor and capital are given by and w=10 and r=20, respectively. Write down the firm’s cost minimization problem. What returns to scale does the production function exhibit? Explain. What is the Marginal Rate of Technical Substitution  (MRTS) between capital and labor? What is the optimal capital to labor ratio? Show your work.
q = K^1/2 L^1/2 p=$20, v=$8, w=$4 a) suppose k= 16, find short-run total and marginal...
q = K^1/2 L^1/2 p=$20, v=$8, w=$4 a) suppose k= 16, find short-run total and marginal costs, and also firm supply function. Find the price that the firm shuts down its production. b) find firm profit maximization demand function and short-run supply function
Cobb-Douglas...again Consider the Cobb-Douglas production function function of the form, q(k, l) = k α l...
Cobb-Douglas...again Consider the Cobb-Douglas production function function of the form, q(k, l) = k α l 1−α (a) Determine the relation between α and the marginal product of k and l. For what values of α is the marginal product for each input: (i) increasing, (ii) constant, and, (iii) decreasing. (b) Show that the marginal rate of technical substitution (MRTS) is equal to α 1 − α l k . For what values of α is MRTS decreasing in k?...
3. Consider the production function Q = K2L , where L is labor and K is...
3. Consider the production function Q = K2L , where L is labor and K is capital. a.[4] What is the Marginal Product of Capital for this production function? Is it increasing, decreasing, or constant? Briefly explain or show how you arrived at your answer. b.[4] Does this production function exhibit increasing, constant or decreasing returns to scale? Briefly explain or show how you arrived at your answer. c.[5] If the firm has capital fixed at 15 units in the...
Consider the production function Q = K2L , where L is labor and K is capital....
Consider the production function Q = K2L , where L is labor and K is capital. a.[4] What is the Marginal Product of Capital for this production function? Is it increasing, decreasing, or constant? Briefly explain or show how you arrived at your answer. b.[4] Does this production function exhibit increasing, constant or decreasing returns to scale? Briefly explain or show how you arrived at your answer. c.[5] If the firm has capital fixed at 15 units in the short...
Consider the production function q= L^(1.5)+5K 1. Starting from the input combination (5,9), calculate the marginal...
Consider the production function q= L^(1.5)+5K 1. Starting from the input combination (5,9), calculate the marginal product of adding one worker. (Hint: Make a table to organize your calculations.) 2. What is the marginal product of adding another worker?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT