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

Answer 1

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