# 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/.

https://brainmass.com/math/linear-programming/slope-objective-function-141534

#### 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 ...

#### 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.

$2.49