Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 8x + 9y + 3z subject to 2x  +  7y  +  8z  ≤  100   6x  +  3y  +  z  ≤  160   3x  +  4y  +  9z  ≤  10 .

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Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative.

Maximize

f = 8x + 9y + 3z

subject to

2x  +  7y  +  8z  ≤  100  
6x  +  3y  +  z  ≤  160  
3x  +  4y  +  9z  ≤  10 .
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