Question: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C = 12 x + 4 y + 11

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

Minimize C = 12x + 4y + 11z
subject to 7x + 13y + 20z 67
14x + 18y + 6z 134
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 minimum value of the objective function?

please show all work. I need to understand how to solve this problem.

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