The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y.

Compare the quantity in Column A and Column B



A. The quantity in column A is greater


Z = 4x + 3y


Corner points- (0, 0), (0, 40), (20, 40), (60, 20), (60, 0)


As feasible region is bounded.


Value of Z at corner points-


At (0, 0), Z = 0


At (0, 40), Z = 120


At (20, 40), Z = 200


At (60, 20), Z = 360


At (60, 0), Z = 240


Clearly, maximum value of Z is 360, which is greater than 325.

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