Question: use the simplex method to find the maximum value of...
Use the simplex method to find the maximum value of P = 80x + 28y + 100z subject to these constraints:
15x + 6y + 15z ≤ 960
30x + 6y + 15z ≤ 1500
25x + 20y + 25z ≤ 2250
10x + 4y + 20z ≤ 800
and the usual constraints x ≥ 0, y ≥ 0, z ≥ 0
The maximum value of P is and this occurs when x =
and y =
and z =
There is one slack variable with a non-zero value when the optimal solution is achieved. This slack variable is the slack variable introduced in constraint number ____ in the list of constraints (above), and the value this slack variable has when the optimal solution is achieved is ___.