The feasible region represented by the constraints: x + 2y 120 ; x + y 60 ; x - 2y 0 ; x 0 and y 0

Step-by-step solution

The given constraints are: x + 2y 120 x + y 60 x - 2y 0 x 0, y 0 Consider the inequality x + y 60 . The region satisfying this must lie above or on the line x + y = 60 . This eliminates regions C and D. Consider the inequality x - 2y 0 , which can be rewritten as y x 2 . The region satisfying this must lie below or on the line x - 2y = 0 . Between regions A and B, region A lies below the line x - 2y = 0 , whereas region B lies above it. Region A also satisfies x + 2y 120 (lies below the line x + 2y = 120 ) and x 0,