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

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

Minimize C = 17x + 19y + 8z
subject to 12x + 14y + 21z ≥ 58
11x + 6y + 9z ≥ 116
and x ≥ 0, y ≥ 0, z ≥ 0.
  1. What is the optimal value of x?
  1. What is the optimal value of y?
  1. What is the optimal value of z?
  1. What is the minimum value of the objective function?

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