Question: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Maximize C = 16 x + 21 y + 9

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Maximize C = 16x + 21y + 9z
subject to 13x + 15y + 22z 57
10x + 3y + 8z 114
and x 0, y 0.
  1. What is the optimal value of x?
  2. What is the optimal value of y?
  3. What is the optimal value of z?
  4. What is the maximum value of the objective function?

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