# Linear Programming

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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=?

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