Please see the image.1. Derive the cost function.2. Directly use the cost function to derive the output supply function Let input prices be (w₁, w2) and output price be p. Take as given the productionfunction f (x1, x2)-min [1, √√2]

Let's work through the problem step by step.1. Deriving the cost function:Given the production…

Answered: Let input prices be (w₁, w2) and output…

Economics (MindTap Course List)

13th Edition

ISBN:9781337617383

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter21: Production And Costs

Section21.3: Production

Problem 3ST

See similar textbooks

Similar questions

Given the production function Y=3x+2x2-0.1x3 Compute The APP and MPP
A firm has two variable factors and a productionfunction f(x1, x2) = 6x1/21X21/3. The price of its output is 3, the price of factor 1 is 3, and the priceof factor 2 is 2.– What is the optimal production output level?– What is the maximum profit-level?
Define a production function F:R X X 12 F(x, x2 ) = { x₁ + x2 1 2 + if x +x >0 1 2 0 if x +x¸ = 0 1 2 > R by → + where x and x, are the amounts of two 1 2 inputs used to produce a single out - put. Given input prices w ω, > 0, > 0 and W 2 consider the problem of finding the cost minimizing input combination of producing at least an output level of one unit: mina x 1 1 (xx) ≥0 1 2 + 2x2 subject to F(x,,x) ≥ 1 and 2 Find the cost - minimizing input demand. Use second order condition and Hessian Matrix
What is the elasticity of substitution for the production function f(K, L) = K¹/4 [³/4? (a) o = 1 (b) o = -1 (c) o = 1 (d) σ = 3 2
The variable x represents the number of HDTVs manufactured and sold in a given month. The variable p is the price charged when you sell a TV. A demand curve is given by p = 660-3x. a) Find the x-intercept of this demand curve. Say what it means. Assume you must pay salaries totalling 8000$ in a month. Also, it costs $110 to manufacture one TV. b) Write a formula for your cost function C(x) c) Write a formula for your revenue function R(x) d) The profit function is M(x) = Graph the profit function and using the Maximum program, find the maximum possible profit and fill in the details (round off x to the nearest whole number): e) number of sales: f) profit: g) selling price: h) revenue: i) cost: j) check these results fit together: k) Find the range of prices you can charge and still be in the black: The lowest price you can charge is ___________ and the highest is ___________
Let the production function be given by q=2(square root of L)(square root of K)} and Price of K be 5 and the Price of L be 2. Then, the slope of the isocost line is: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a: -.4 b: -2.5 c: -5/2 d: 2/5 e: none of the above
Juan Valdez owns a coffee farm in Colombia. His production function is: f(x1,x2)=(x1−1)^0.25 x2^0.5 Assume the price of input 1 is r and the price of input 2 is w. (a) Write down an expression for the technical rate of substitution. (b) Find Juan's demand for inputs conditional on the quantity y of coffee Juan wants to produce. (c) Find Juan's cost function. (d) What is the supply function of Juan's firm?
Does the value of λ change if the budget changes from $4600 to $5600?What condition must a Cobb-Douglas production function q = cKαW β satisfy toensure that the marginal increase of production is not affected by the size of thebudget?
The Cobb-Douglas production function for a particular product is N(x,y) = 80x0.6.0.4, where x is the number of units of labor and y is the number of units of capital required to produce N(x, y) units of the product. Each unit of labor costs $40 and each unit of capital costs $60. Answer the questions (A) and (B) below. (A) If $150,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production, and find the maximum production. (B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50,000 is budgeted for the production of the product. C (A) If $150,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production, and find the maximum production. Production will be maximized when using units of labor and units of capital.
A firm has the production function f(X, Y) = x²/2 y1/2, where X is the amount of factor x used and Y is the amount of factor y used. On a diagram we put X on the horizontal axis and Y on the vertical axis. We draw some isoquants. Now we draw a straight line on the graph and we notice that wherever this line meets an isoquant, the isoquant has a slope of -3. The straight line we drew Select one: O a. is vertical. b. is horizontal. c. is a ray through the origin with slope 3. d. is a ray through the origin with slope 4. O e. has a negative slope.
Given the following data on input and output levels. Suppose the output price is $5 and input price is $10. Find the values of APP and MPP when X = 6: X 0 2 4 6 8 10 12 Y 0 100 250 450 600 700 750 50 and 150 6 and 200 100 and 75 75 and 100
Production is described by the function f(K, L) = AL0.3K 0.3, A > 0.a. Interpret the exponents of the function f( K, L) and the parameter A. b. Explore the effects of scale of this production function. Does the answer depend on A?c. What is the degree of homogeneity of this function? Does the answer depend on A? d. Consider a production function given by F(K, L) = f 2(K, L ). How do the answers to thequestions in b. and c. change?e. Consider a production function given by F(K ,L) = f(K, L) + 2. How do the answers to thequestions in b. and c. change

SEE MORE QUESTIONS

Recommended textbooks for you

Economics (MindTap Course List)

Economics

ISBN:

9781337617383

Author:

Roger A. Arnold

Publisher:

Cengage Learning

Microeconomics

Economics

ISBN:

9781337617406

Author:

Roger A. Arnold

Publisher:

Cengage Learning

Economics (MindTap Course List)

Economics

ISBN:

9781337617383

Author:

Roger A. Arnold

Publisher:

Cengage Learning

Microeconomics

Economics

ISBN:

9781337617406

Author:

Roger A. Arnold

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Let input prices be (w₁, w2) and output price be p. Take as given the production function f (x1, x2) - min [1, √√2]