A firm's total cost function is: C = 6x2 - xy + 10y2 + 30, subject to the production quota x + y = 34. Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost. What is the equilibrium value of x? What is the equilibrium value of y? What is the equilibrium value of λ? What is the optimized value of cost?
A firm's total cost function is: C = 6x2 - xy + 10y2 + 30, subject to the production quota x + y = 34. Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost. What is the equilibrium value of x? What is the equilibrium value of y? What is the equilibrium value of λ? What is the optimized value of cost?
Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter7: Production And Cost In The Firm
Section: Chapter Questions
Problem 19PAE
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Constrained Optimization
A firm's total cost function is: C = 6x2 - xy + 10y2 + 30, subject to the production quota x + y = 34.
Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost.
What is the equilibrium value of x?
What is the equilibrium value of y?
What is the equilibrium value of λ?
What is the optimized value of cost?
What is the value of the determinant of the bordered Hessian matrix?
Based on the value of the determinant of the bordered Hessian matrix, comment on the optimized value of Cost. (Answer in one word.)
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