Solve the following LP problem.
Maximize profit = 9×1 + 7×2
Subject to: 2×1 + 1×2 ≤ 40
x1 + 3×2 ≤ 30
x1, x2 ≥ 0
Expert Answer
Z = 9X1 + 7X2
After equating the constraints:
2X1 + 1X2 = 40 ———- (1)
X1 + 3X2 = 30 ————-(2)
After multiplying equation 1 by 3and subtracting it from equation 2,
6X1 – X1 = 3*40 – 30
5X1 = 90
X1 = 18
X2 = (40-36) = 4
Here, X1 and X2 are greater than 0.So constraints condition are met.
Z = 9*18 + 7*4
Z = 190
So, profit maximized is
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