Question: 1) In this problem you will always be working with the following optimization problem: Maximize: Subject to constraints: P=12x+4y+8z 2x+y+z30,2y+8z=32, With minimum requirements: x0,y0andz0. a)

1) In this problem you will always be working with the

1) In this problem you will always be working with the following optimization problem: Maximize: Subject to constraints: P=12x+4y+8z 2x+y+z30,2y+8z=32, With minimum requirements: x0,y0andz0. a) (4 points) Find the initial simplex tableau for the given optimization problem. b) ( 2 points) Is it possible to solve this optimization problem (do we have any feasible point)? In order to receive credit, you must explain how you know and supply an appropriate amount of work to justify your conclusion. c) (4 points) If the optimization problem has a solution, solve it to find the maximum value of P

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