A Linear Programming Problem is as follows :

Maximise/Minimise objective function Z = 2x-y+5

Subject to the constraints

3x + 4y ≤ 60

x + 3y ≤ 30

x ≥ 0,y ≥ 0

If the corner points of the feasible region are A (0,10),B(12,6),C(20,0) and O(0,0), then which of the following is true?

(a) Maximum value of Z is 40

(b) Minimum value of Z is -5

(c) Difference of maximum and minimum values of Z is 35

(d) At two corner points, value of Z are equal

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1 Answers

Option : (d) At two corner points, value of Z are equal

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