Solve the following LP problem graphically.
Maximize profit = 20×1 + 10×2
Subject to: 5×1 + 4×2 ≤ 250
2×1 + 5×2 ≤ 150
x1, x2 ≥ 0
Expert Answer
Here the 1st constraint is 5×1+4×2<=250
Take x2 = 0 and so 5×1 = 250 or x1 = 50.
Now take x1 = 0 and so 4×2 = 250 or x2 = 62.5
Thus for the 1st constraint the line will have points – 50 and62.5 for x1 and x2
The 2nd constraint is 2×1+5×2<=150
Take x2 = 0 and so 2×1 = 150 and x1 = 75
Now take x1 = 0 and so 5×2 = 150 and x2 =
OR
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