A firm produces TVs and ovens with a joint cost function that takes the form: C(x,y) = 3x^2 + 2y^2 + 2xy where x and y are the firm's output of TVs and ovens respectively. Suppose the cost function is subject to the constraint on the total output of the firm in the form 2x + y = 35. a) Find the optimum values x and that minimize the firm's total cost. b) Check your answer in (a) by using the bordered Hessian matrix. c) Determine the optimum value of the Lagrange multiblier À. Interpret your answer.
A firm produces TVs and ovens with a joint cost function that takes the form: C(x,y) = 3x^2 + 2y^2 + 2xy where x and y are the firm's output of TVs and ovens respectively. Suppose the cost function is subject to the constraint on the total output of the firm in the form 2x + y = 35. a) Find the optimum values x and that minimize the firm's total cost. b) Check your answer in (a) by using the bordered Hessian matrix. c) Determine the optimum value of the Lagrange multiblier À. Interpret your answer.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Y6
questions
1. A firm produces TVs and ovens with
a joint cost function that takes the form:
C(x,y) = 3x^2 + 2y^2 + 2xy where x and y are the firm's output of TVs and ovens
respectively. Suppose the cost function is subject to the constraint on the total output of
the firm in the form 2x + y = 35.
a) Find the optimum values x and that minimize the firm's total cost.
b) Check your answer in (a) by using the bordered Hessian matrix.
c)
Determine the optimum value of the Lagrange multiblier À. Interpret your answer.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps

Knowledge Booster
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.Recommended textbooks for you


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON

Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning

Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education