Demonstrate that the profit function of a competitive firm is concave if it's production function is concave.
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Demonstrate that the profit function of a competitive firm is concave if it's production function is...
A profit-Maximising competitive firm uses Just one input, ac. It's production function is g = 40012 The price of output is t12 and the factor price is t3 al. What is the profit-maximising quantity of the input? b) What is the profit-Maximising quantity of output ? c) what is the maximum profit achieved
1. A competitive, profit-maximizing firm uses two inputs a and b. Its production function is F(a, b) = a^1/2+b^1/2. Its output sells for $4 per unit. The price of input a is $1 per unit. The price of input b is $3 per unit. What is the profit maximizing amount for factor a? **(SOLVED, DO NOT ANSWER)**
(d) A perfectly competitive firm has the following production function: Q=L The price of labor is equal to w. If the firm maximizes profit and the price, p, is equal to 4w, then the firm will supply 2 units of output and profit is equal to 4w.
A competitive firm has the following production function: f(x1,
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the output good is p > 0. The prices of the inputs Labour and Capital are w> 0 and r>0 respectively. The firm chooses L and K in order to maximize profits, (L.K). (a) How does the short-run production function differ from the long-run production function? (b) Write out the profit function for the firm, (L,K). (c) Derive the first order...
2. Suppose the firm has the one variable production function Q=L?. Assume that the wage rate is w= 20 and that the firm has fixed costs of 10. Finally, assume that the firm is a price taker and the market price is 2. a) Show that this production function exhibits increasing returns to scale. Show that the marginal product of labor is increasing. Illustrate the production function. Is it convex, concave or neither? b) Find the variable and total cost...
248 PROFIT MAXIMIZATION (Ch. 20) 20.1 (0) The short-run production function of a competitive firm is given by f(L)62/3, where L is the amount of labor it uses. (For those who do not know calculus-if total output is al, where a and b are constants, and where L is the amount of some factor of production. then the marginal product of L is given by the formula abL- The cost per unit of labor is w-6 and the price per...
7. [Profit Maximizing Input Demand-II] Consider a competitive
firm with the following profit function
? = PQ?wL?rK,
where P = 3, w = 1 and r = 1 and
Q(K,L) = 9K^1/3L^1/3 .
Explain how a competitive, profit-maximizing firm decides how much of each factor of production to demand.
At its current level of production, a profit-maximizing firm in a competitive market receives $15 for each unit it produces and faces an average total cost of $10. At the market price of S15 per unit, the firm's marginal cost curve crosses the marginal revenue curve at an output level of 1.300 units. What is the fim's current profit? What is likely to occur in this market and why?