# Linear Transformation - sensitivity analysis

Please help with the following problem.

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

6X + 10Y >= (greater than or equal to) 30

3X + 15Y >= (greater than or equal to) 30

Fill in the blanks: As long as the slope of the objective function stays between _____ and _____, the current optimal solution (whatever it is) will remain optimal. Show your work for full credit.

https://brainmass.com/math/linear-programming/linear-transformation-sensitivity-analysis-567287

#### Solution Preview

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

6X + 10Y >= (greater than or equal to) 30

3X + 15Y >= (greater than or equal to) 30

Fill in the blanks: As long as the slope of the objective function stays between ...

#### Solution Summary

This posting helps solve a linear programming problem with binding constraints. The solution illustrates how slope of constraints and objective function are calculated. It shows what should be range of the objective function slope for given set of binding constraints. Step by step calculations along with explanations are given.