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The maximum value of Z = 4x + y for a L.P.P. whose feasible region is given below is ______. - Mathematics

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Question

The maximum value of Z = 4x + y for a L.P.P. whose feasible region is given below is ______.

Options

  • 50

  • 110

  • 120

  • 170

MCQ
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Solution

The maximum value of Z = 4x + y for a L.P.P. whose feasible region is given below is 120.

Explanation:

Given L.P.P. is Maximise z = 4x + y

Corner points value of z (z = 4x + y)
A. (0, 50) z = 4 × 0 + 50 = 50
B. (20, 30) z = 4 × 20 + 30 = 110
C. (30, 0) z = 4 × 30 + 0 = 120
D. (0, 0) z = 0 + 0 = 0

Maximum value is 120.

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