Please show all steps. The correct answer is E
Hence. the correct answer is (E) = 1/(27w12w2)
Please show all steps. The correct answer is E 20. A firm has two variable factors...
2. A firm has two variable factors and a production function f(11, 12) = 211 + 4.12. (a) On a graph, draw production isoquants corresponding to an ouput of 3 and to an output of 4. (b) If the price of the output good is 4, the price of factor 1 is 2, and the price of factor 2 is 3, find the amount of factor 1, the amount of factor 2 and the amount of output that maximizes the...
A price-taking and profit-maximizing firm produces one output at the rate y> 0 using one input r>0 by way of the production function () , where f(x)竺2x2 . The firm's output sells at the price p >0 while the input is purchased at the price wo (a) (b) (c) Determine the lalue of the input that solves the FONC, and denote it by x (p,w). Is Set up the profit maximization problem. Derive the FONC and SOSC. x(p,w) unique? Explain....
9. Suppose the firm's production function is given by f(K,L) = min (Kº,L"} (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K,L)=KLI. Let w...
1.1. What is the set of profit-maximizing inputs if the profit function of a firm is given by: π(X, Y) = P ln[X + aY] – wX – wY where P - price of output f(X,Y) = ln[X + 0.5Y] - production function X - input 1, X>=0 Y - input 2, Y>=0 w - same price of input for inputs 1 and 2 a - parameter between 0 and 1 1.2 What is the set of profit-maximizing inputs if...
1. If a profit-maximizing competitive firm has constant returns to scale, then its long-run profits must be zero. True or False? Explain your answer. 2. A firm is producing output using one variable factor of production. The firm’s production function is y = 8x¹ˡ². The price of the output is $24 and the price of input is $8 per unit. How many units of the input should the firm use?
competitive firm produces output using three fixed factors and one variable factor. The firm’s short-run production function is q = 305x − 2x2, where x is the amount of the variable factor used. The price of the output is £2 per unit and the price of the variable factor is £10 per unit. In the short run, how many units of x should the firm use ?
Please Help. Thank you very much. 1. A firm can buy inputs one and two at prices w and w2, and sells the resulting output in at a market price p. The production function is f(11,12)= + 5 1.1 Form the cost-minimization problem for this firm, find the contingent demand functions, and find the cost function for the firm. Using this cost function, maxi- mize py-C(wi, W2, y). 1.2 Formulate the profit maximization problem for this firm using the the...
A firm uses two inputs x1 and x2 to produce output y. The production function is given by f(x1, x2) = p min{2x1, x2}. The price of input 1 is 1 and the price of input 2 is 2. The price of output is 10. 4. A firm uses two inputs 21 and 22 to produce output y. The production function is given by f(x1, x2) = V min{2x1, x2}. The price of input 1 is 1 and the price...
Please explain and show all the steps instead of just giving an answer. 1. (Production function) Condsider a representitive firm with a production function which is (i) twice continuously differentiable; (ii) eahibits positive and diminishing marginal product and (ii) has constant return to scale Y F(K, L) Given the capital rental price R and the wage w, and the good price P is normalized to 1, the firm can choose K and L to maximize its profit: max F(K.L) -...
Question 4 Consider the production process with 2 inputs and 1 output. The production function is given by y The input prices are w and w2 respectively. Consider the case of long run where both factors are variable. The output price is denoted as p. (Please leave the numbers in decimals or fractions.) 1/3 1/3 (a) First, consider the profit maximization problem directly. Derive the input demand functions and output function in terms of input prices w, and output price...