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slope of objective function

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In a linear programming problem, the binding constraints for the optimal solution are

5X + 3Y < 30
2X + 5Y < 20.

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.

1/3 and 3/5
-5/3 and -4/5
-8/3 and -2/5
-5/3 and -2/.

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Solution Summary

The solution explains how to find the range of slope of the objective function such that the current optimal solution point will remain optimal.

Solution Preview

(1) The slope of the constraint 5x + 3y < 30 is
write it in slope -intercept form: 3y < -5x + 30
y < (- 5/3) x + 10
so the ...

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