Maximize P = 4x + 20y subject to these constraints:

Question

2x + 15y ≤ 700
5x + 10y ≤ 1150
5x + 5y ≤ 1000
4x + 15y ≤ 980
x ≥ 0, y ≥ 0

Maximum value for P = ?.

This value of P occurs when x = ? and y = ?

If u1, u2, u3, and u4 represent the slack variables in the four counstraints (u1 the slack variable in the top constraint listed above, u2 for the second, etc.), then give the values for each of the four slack variables when the optimal solution is reached:

u1 = ?
u2 = ?
u3 = ?
u4 = ?