Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)   Minimize C = 10x + 6y + 9z subject to 9x + 11y + 18z ≥ 69 12x + 14y + 4z ≥ 138 and x ≥ 0, y ≥ 0. a- What is the optimal value of x?   b-What is the optimal value of y?   c- What is the optimal value of z?   d- What is the minimum value of the objective function?

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

 

Minimize C = 10x + 6y + 9z

subject to 9x + 11y + 18z ≥ 69

12x + 14y + 4z ≥ 138

and x ≥ 0, y ≥ 0.

a- What is the optimal value of x?

 

b-What is the optimal value of y?

 

c- What is the optimal value of z?

 

d- What is the minimum value of the objective function?

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