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# Solve the following problem using the simplex method. Then answer the questions. Maximize P = 7x + 12 y + 82 subject to these constraints: x+2y+z5144...

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Solve the following problem using the simplex method. Then answer the questions. Maximize P = 7x + 12 y + 82 subject to these constraints: x+2y+z51445x + 22 s 216 3x + By + 62 S 768x a 0, y a 0, z a 0 (a) In your optimal solution, what is the value of x?x =In your optimal solution, what is the value of y?y =In your optimal solution, what is the value of z?z = What is the maximum value of P?p = (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?3 J steps