# Linear Programming

posted by
**JP** on
.

Maximize P = 16x + 80y subject to these constraints:

2x + 20y ≤ 430

4x + 70y ≤ 1400

8x + 30y ≤ 980

10x + 10y ≤ 1000

4x + 30y ≤ 700

x ≥ 0, y ≥ 0

Maximum value for P = ?.

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

If u1, u2, u3, u4, and u5 represent the slack variables in the five 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=?

u5=?