For the following linear programming problem
Max 10x1 + 12x2
s.t. 1x1 + 2x2 ? 40
5x1 + 8x2 ? 160
1x1 + 1x2 ? 40
x1, x2 ? 0
a. Find the range of optimality for c1 and c2.
b. Find the range of feasibility for b1, b2, and b3.
c. Find the dual prices.
a. 7.5 ? c1 < ?
?? < c2 ? 16
b. 32 ? b1 < 0
160 ? b2 ? 200
20 ? b3 < ?
c. u1 = 10
u2 = 4
u3 = 0
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