Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10....
Problem 2: A firm has the following production function: f(x1,x2) = x1 + x2 A) Does this firm's technology exhibit constant, increasing, or decreasing returns to scale? B) Suppose the firm wants to produce exactly y units and that input 1 costs $w1 per unit and input 2 costs $w2 per unit. What are the firm's conditional input demand functions? C) Write down the formula for the firm's total cost function as a function of w1, W2, and y.
A firm's production function us f(x1,x2) = x1+2x2 (a) if the factor prices are (w1,w2) what will be the minimal cost of producing 20 units of output? (b) if the firm faces factor prices (w1,w2) what will be the minimal cost of producing y units of output? (c) if the factor prices are (1,3) what is the cheapest way to produce 20 units of output? Be detailed please, thanks.
A firm has the production function y= f(x1,x2)= 0.25x11/2 x21/2 . Input prices are w1=$4 and w2= $16 a) Use the technical rate of substitution, the input price rate, and the production function to compute the conditionial input demand fucntion x1(y) and x2(y). b) Compute the firm's long run cost function c(y).
Problem 4: A firm has the following production function: Xi , X2)=X1 , X2 A) Does this firm's technology exhibit constant, increasing, or decreasing returns to scale? B) What is the firm's Technical Rate of Substitution? What is the optimality condition that determines the firm's optimal level of inputs? C) Is the marginal product of input 1 increasing, constant, or decreasing in x1. Is the marginal product of input 2 increasing, constant, or decreasing in x2? D) Suppose the firm...
Problem 3: A firm has the following production function: f(x1,x2) = x7/3x4/3 A) Does this firm's technology exhibit constant, increasing, or decreasing returns to scale? B) What is the firm's Technical Rate of Substitution? What is the optimality condition that determines the firm's optimal level of inputs? C) Is the marginal product of input 1 increasing, constant, or decreasing in X1. Is the marginal product of input 2 increasing, constant, or decreasing in xz? D) Suppose the firm wants to...
A producer produces good y using inputs x1 and x2 according to
the production function y = xα1xβ2 where α+β < 1. The factor
prices are w1 and w2 (for input 1 and 2). The producer can sell as
much as he wants at unit price p.
A producer produces good y using inputs X1 and 22 according to the production function y = xqx, where a + B < 1. The factor prices are wi and W2 (for input...
A firm has the production function f(x1, x2) = x11x0.502. The isoquant on which output is 305/10 has the equation a. x2 = 30x-0.501. b. x1/x2 = 2. c. x1 = 0.50x-0.502. d. x2 = 30x-21. e. x2 = 30x21. step by step, plese
Problem 1: A firm has the following production function: min{x1, 2x2) f(x,x2)= A) Does this firm's technology exhibit constant, increasing, or decreasing returns to scale? B) What is the optimality condition that determines the firm's optimal level of inputs? C) Suppose the firm wants to produce exactly y units and that input 1 costs $w per unit and input 2 costs $w2 per unit. What are the firm's conditional input demand functions? D) Using the information from part D), write...
uestion 3 (1 point) the production function is f(x1, x2) = x1/21x1/22. If the price of factor 1 is $10 and the price of factor 2 is $20, in what proportions should the firm use factors 1 and 2 if it wants to maximize profits? Question 3 options: We can’t tell without knowing the price of output. x1 = 2x2. x1 = 0.50x2. x1 = x2. x1 = 20x2. Question 4 (1 point) A firm has the production function f(X,...
A firm has decreasing returns production function f(x1, x2)=(x1)1/6(x2) 1/3 and faces input costs w1=1 and w2=2. Find the cost function.