Question: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Maximize C = 15 x + 17 y + 7

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

Maximize C = 15x + 17y + 7z
subject to 11x + 13y + 20z 59
12x + 9y + 10z 118
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?

please show all work. I need to understand how to do this question.

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