A competitive, cost-minimizing firm has the production function f (x, y) = min(x,2y) and uses positive...
A competitive, cost-minimizing firm has the production function f (x, y) = min(x,2y) and uses positive amounts of both inputs. If the price of x doubles and the price of y triples, then the cost of production will exactly double.
The answer is False. Plz show me exactly how to solve this.
Homework Answers
As this is a fixed proportions production function, so two
inputs are always used in given proportion:
x = 2y
Let price of x be Px and price of y be Py.
Cost, C = x*Px + y*Py = 2y*Px + y*Py = (2Px + Py)y
New price of x is 2Px and price of y is 3Py.
New cost, C' = x*(2Px) + y*(3Py) = 2y*(2Px) + y*(3Py) = (4Px +
3Py)y
Double of C = 2C = 2*(2Px + Py)y = (4Px + 2Py)y
We can see that C' does not equal C. So, cost of production will
not exactly double.
Add Answer to:
A competitive, cost-minimizing firm has the production function
f (x, y) = min(x,2y) and uses positive...
A competitive, cost-minimizing firm has the production function f (x, y) = x + 2y and...
A competitive, cost-minimizing firm has the production function f (x, y) = x + 2y and uses positive amounts of both inputs. If the price of x doubles and the price of y triples, then the cost of production will more than double. The answer is false. It will be exactly doubled. I wanna know how to solve this problem by using isoquant line and isocost line. Please do not copy other's answer.
A firm has the production function f(x, y) = min[2x, x + 2y). On the graph...
A firm has the production function f(x, y) = min[2x, x + 2y). On the graph below, use the line tool to draw the production isoquant for this firm where f(x, y) = 10. Make sure your isoquant extends to the edges of the graph. To refer to the graphing tutorial for this question type, please click here. Production Isoquant
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from...
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from the production function y=x"X, where a >0 and B>0. The competitive input prices of x, and x, are given respectively as w, and wz. a) Find the firm's demand functions for inputs x, and xz. b) Find the firm's total cost, average cost, and marginal cost functions. c) Show that if a +B>1 then average cost is always greater than marginal cost.
A firm uses two inputs x1 and x2 to produce output y. The production function is...
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...
A firm uses two inputs x1 and x2 to produce output y. The production function is...
A firm uses two inputs x1 and x2 to produce output y. The production function is f(x1, x2) = x11/2 + x21/2. The price of input 1 is 1 and the price of input 2 is 2. The price of output is 10. (d) Does this production function exhibit increasing, decreasing or constant returns to scale? (e) Solve the firm’s cost minimization problem. Derive the firm’s cost function c(y). (f) Find the profit-maximizing choice of inputs x1* and x2* and...
Question 5 (20 marks) (a) i) A firm has production function y - f(x,z) -ax+Bz, for...
Question 5 (20 marks) (a) i) A firm has production function y - f(x,z) -ax+Bz, for y 2 0, where y is output, and x, z the factors of production. Are the returns to scale constant, increasing or decreasing? Explain your answer. (3 marks) ii) Consider the production function: f(x1,2)2 where a is a positive parame- ter. Indicate for which values of a the returns to scale in production are increasing Explain your answer. (3 marks) iii) A firm has...
Suppose a firm in a perfectly competitive market has the cost function c(y)= y2 + 2y...
Suppose a firm in a perfectly competitive market has the cost function c(y)= y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. How much does the firm produce at this price?
Problem 1: A firm has the following production function: min{x1, 2x2) f(x,x2)= A) Does this firm's technology exhibit c...
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...
Suppose a firm in a perfectly competitive market has the cost function c(y)=y2 + 2y +4...
Suppose a firm in a perfectly competitive market has the cost function c(y)=y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. If the demand stays at this new level, what will the long-run quantity be for each firm?
1. A competitive, profit-maximizing firm uses two inputs a and b. Its production function is F(a,...
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)**
A firm has the production function f(x, y) = min[2x, x + 2y). On the graph below, use the line tool to draw the production isoquant for this firm where f(x, y) = 10. Make sure your isoquant extends to the edges of the graph. To refer to the graphing tutorial for this question type, please click here. Production Isoquant
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from the production function y=x"X, where a >0 and B>0. The competitive input prices of x, and x, are given respectively as w, and wz. a) Find the firm's demand functions for inputs x, and xz. b) Find the firm's total cost, average cost, and marginal cost functions. c) Show that if a +B>1 then average cost is always greater than marginal cost.
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...
Question 5 (20 marks) (a) i) A firm has production function y - f(x,z) -ax+Bz, for y 2 0, where y is output, and x, z the factors of production. Are the returns to scale constant, increasing or decreasing? Explain your answer. (3 marks) ii) Consider the production function: f(x1,2)2 where a is a positive parame- ter. Indicate for which values of a the returns to scale in production are increasing Explain your answer. (3 marks) iii) A firm has...
Suppose a firm in a perfectly competitive market has the cost function c(y)= y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. How much does the firm produce at this price?
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...
Suppose a firm in a perfectly competitive market has the cost function c(y)=y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. If the demand stays at this new level, what will the long-run quantity be for each firm?
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago