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Question

The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 40), (60, 0). The objective function is
Z = 4x + 3y.
Compare the quantity in Column A and Column B
Column A Column B
Maximum of Z 325

A
The quantity in column A is greater
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B
The quantity in column B is greater
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C
The two quantities are equal
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D
The relationship can not be determined on the basis of the information
supplied
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Solution

The correct option is A The quantity in column A is greater
Corner Point Z = 4x+3y
(0, 0) 0
(0, 40) 120
(20, 40) 200
(60, 40) 360
(60, 0) 240

From the above table, the maximum value of Z is 360 which is greater than Column B

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