Explore BrainMass

# slope of objective function

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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/.

© BrainMass Inc. brainmass.com March 4, 2021, 8:03 pm ad1c9bdddf
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