Question: 18. When alternate (multiple) optimal solutions exist in an LP problem, then a. one of the constraints will be redundant. b. the objective function will

18. When alternate (multiple) optimal solutions exist in an LP problem, then a. one of the constraints will be redundant. b. the objective function will be parallel to one of the binding constraints. c. two constraints will be parallel. d. the problem will also be unbounded. e. only two corner points will become optimal solutions. 19. Which of the following is a valid objective function for a linear programming problem? a. Maximize 5XY + 3Y b. Minimize 2x + 4Y - (2/3)XY c. Maximize 5X + 6Y d. Minimize 3X/2Y e. Maximize 5Y/7X + Y/X Consider the following LP problem: Maximize 5X+6Y Subject to: 1X + 2Y 0 Which of the following points (X, Y) is not feasible? e. b. (20, 50) d. (90, 10) c. (60, 30) a. (50, 40) none of the above

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