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Question

Mathematics Question on Linear Programming Problem and its Mathematical Formulation

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)(0,0), (0,40), (20, 40), (60, 20), (60, 0). The objective function is Z=4x+3yZ = 4x + 3y. Compare the quantity in Column AA and Column BB

A

The quantity in column AA is greater

B

The quantity in column BB is greater

C

The two quantities are equal

D

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

Answer

The quantity in column BB is greater

Explanation

Solution

Construct the following table of values of the objective function :