4. Pot & Gold Inc. makes and sells Christmas ornaments in a perfectly competitive market. Its production function is given by f(x,z) = √√x + z, where x denotes the amount of plastic and z denotes the amount of wood. The price of plastic is w₁ and the price of wood is w2. Let y denote the amount of Christmas ornaments produced and p denote the price of Christmas ornaments (p > 0).

Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter25: The Supply Of And Demand For Productive Resources
Section: Chapter Questions
Problem 8CQ
icon
Related questions
Question

a) Calculate the technical rate of subsitution

b) Derive the cost function c(w1,w2,y)

c) When w1 = 5 and w2 = 8, calculate the average cost AC(y) and the marginal cost MC(y). For y > 0, which one is larger, AC(y) or MC(y)?

d) When w1 = 8 and w2 = 9, derive the supply function y(p)

e) Suppose that Pot & Gold Inc has to pay a quasi fixed cost of $50. When w1 = 8 and w2 = 9, derive the supply function y(p) for Pot & Gold Inc

4. Pot & Gold Inc. makes and sells Christmas ornaments in a perfectly competitive market.
Its production function is given by f(x, z)=√√x+3z, where x denotes the amount of plastic
and z denotes the amount of wood. The price of plastic is w₁ and the price of wood is w₂. Let
y denote the amount of Christmas ornaments produced and p denote the price of Christmas
ornaments (p>0).
Transcribed Image Text:4. Pot & Gold Inc. makes and sells Christmas ornaments in a perfectly competitive market. Its production function is given by f(x, z)=√√x+3z, where x denotes the amount of plastic and z denotes the amount of wood. The price of plastic is w₁ and the price of wood is w₂. Let y denote the amount of Christmas ornaments produced and p denote the price of Christmas ornaments (p>0).
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Cost Minimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning