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.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 7CQ
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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?
  2. What is the optimal value of y(Round your answer to 3 decimal places.)
  3. What is the maximum value of the objective function? (Round your answer to 3 decimal places.)

 

 

 

 

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