I need help with this homework question For the problem in the picture: i)derive the Total Cost Function, TC(q) ii) draw the Isoquant for the given level of output iii) draw the Isocost associated with the minimum Total Cost of producing the given amount of output, iv) identify the cost minimizing amount of Labor and Capital (L* and K*), v) determine whether the production function exhibits increasing, constant, or decreasing returns to scale v) label your graph carefully and accurately.

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter8: Production And Costs
Section: Chapter Questions
Problem 13QP
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I need help with this homework question For the problem in the picture: i)derive the Total Cost Function, TC(q) ii) draw the Isoquant for the given level of output iii) draw the Isocost associated with the minimum Total Cost of producing the given amount of output, iv) identify the cost minimizing amount of Labor and Capital (L* and K*), v) determine whether the production function exhibits increasing, constant, or decreasing returns to scale v) label your graph carefully and accurately.
B.
Production Function: q = L¹/2K¹/2
Input prices: w = 12, r = 3
q=6
Draw your graph in this space:
Transcribed Image Text:B. Production Function: q = L¹/2K¹/2 Input prices: w = 12, r = 3 q=6 Draw your graph in this space:
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