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  • 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.

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.

\begin{array}{|l|l|} \hline \text { Column A } & \text { Column B } \\ \hline \text { Maximum of Z } & 325 \\ \hline \end{array}

A. The quantity in column A is greater

B. The quantity in column B is greater

C. The two quantities are equal

D. The relationship cannot be determined on the basis of the information supplied

Answers (1)

B)

The quantity in column B is greater

Z = 4x + 3y

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

A 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 = 300

At (60, 0), Z = 240

Clearly, the maximum value of Z is 300, which is less than 325.

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