Find the optimal solution for the following problem.       Maximize C = 4x + 12y subject to 3x + 5y ≤ 12   6x + 2y ≤ 10 and x ≥ 0, y ≥ 0.     What is the optimal value of x?           What is the optimal value of y? (Round your answer to 3 decimal places.)           What is the maximum value of the objective function? (Round your answer to 3 decimal places.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.7P
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Find the optimal solution for the following problem.

 

   
Maximize C = 4x + 12y
subject to 3x + 5≤ 12
  6x + 2y ≤ 10
and x ≥ 0, y ≥ 0.
 

 

  1. What is the optimal value of x?

 

 

 

 

 

  1. What is the optimal value of y(Round your answer to 3 decimal places.)

 

 

 

 

 

  1. What is the maximum value of the objective function? (Round your answer to 3 decimal places.)

 

 

 

 

 
 
 
 
 
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