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.

Question

Philoid · Accepted Answer

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.

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