Question: Solve the following problem using the simplex method. Then answer the questions.Maximize P = 7x + 12 y + 8z subject to these constraints: x

Solve the following problem using the simplex method. Then answer the questions.Maximize P = 7x + 12 y + 8z subject to these constraints:

x + 2y + z 864 5x + 2z 1296 3x + 8y + 6z 4608 x 0, y 0, z 0

(a) In your optimal solution, what is the value of x? x = (No Response) In your optimal solution, what is the value of y? y = (No Response) In your optimal solution, what is the value of z? z = (No Response) What is the maximum value of P? P = (No Response) (b) How many steps (in the simplex method) did it take you to solve the problem, i.e. how many times did you have to choose a pivot element? (No Response) steps

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