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Question
Maximize: z = 3x1 + 4x2 subject to 2x1 + x2 ≤ 40, 2x1 + 5x2 ≤ 180, x1, x2 ≥ 0. In the LPP, which one of the following is feasible comer point?
Options
x1 = 18, x2 = 24
x1 = 15, x2 = 30
x1 = 2.5, x2 = 35
x1 = 20.5, x2 = 19
Solution
x1 = 2.5, x2 = 35
Explanation:
z = 3x1 + 4x2
Let us solve the equations
2x1 + x2 = 40 ………(1)
2x1 + 5x2 = 180 ……….(2)
− 4x2 = − 140 ....[Equation (1) − (2)]
x2 = 35
We have 2x1 + x2 = 40
2x1 + 35 = 40
2x1 = 5
x1 = 2.5
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