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

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 ofx?

x=(No Response)

In your optimal solution, what is the value ofy?

y=(No Response)

In your optimal solution, what is the value ofz?

z=(No Response)

What is the maximum value ofP?

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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