In a Linear Programming Problem,the Binding Constraints for the Optimal

question 21

Essay

In a linear programming problem,the binding constraints for the optimal solution are:
5X + 3Y ≤ 30
2X + 5Y ≤ 20
a.Fill in the blanks in the following sentence:
As long as the slope of the objective function stays between _______ and _______,the current optimal solution point will remain optimal.
b.Which of these objective functions will lead to the same optimal solution?
(1)2X + 1Y (2)7X + 8Y (3)80X + 60Y (4)25X + 35Y

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