a profit maximizing firm has a technology with the production function f(x1,x2) =x1^0.5 x2^0.5 can only use 4 units of x2 in the short run. what is the optimal amount of x1 to use in the short run if the price of x1 is $1 and price of output is $13 .how much output does the firm make ?
sketch 2 isoquants on same axis for production function f(x,y) = min (y,x^2)
a profit maximizing firm has a technology with the production function f(x1,x2) =x1^0.5 x2^0.5 can only...
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...
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,...
Consider a two input firm which faces an aggregate technology for perfect compliments of y=min(3x1,x2). a. Plot isoquants for y=3,6 and 9 b. What are the returns of scale for this production function? c. For all possible prices on output, p, and on inputs, w1 and w2, are their price combinations for which a profit maximizing firm would not be able to select a price maximizing quantity (or at least one greater than 0)? Give a restriction on prices such...
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...
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 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).
Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10. (5 points) (w1, w2) respec- (2) Suppose that the price of product is p, and that the prices of factors are tively. Find the factor demand function ri(w, w2, p), x1(w1, w2, P), the supply function y(w1, W2, P), and the profit function T(w1, w2, p). (10 points) Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10....
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...
Number 3 please 1. Diaw some Boquants for this production function (1.2) = min {x1 + x2, 2x2). (6 points) 2. Consider this production function f(x1,x2) = x, + x,. Does it exhibit decreasing, constant, or increasing returns to scale? (6 points) 3. A competitive firm has the production function y=Z, where y is the quantity of output and Z the amount of labor used. (a) Suppose the hourly wage rate for labor is w = $10 and the price...
NEED ANSWERS OF PART (f,g,h,j) Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1 is denoted by x, and the quantity used of input 2 is denoted by x2. The firm produces and sells one good using the production function f(x1, x2)-4x053x25. The final good is sold at price P $10. The prices of inputs 1 and 2 are w$2 and w2 $3, respectively. The markets for the final good and both...