Sensitivity analysis Excel of other software NOT allowed The

Sensitivity analysis

Excel of other software NOT allowed

The solution will be +-1 but I would like to see detailed process with matrices.

(Sensitivity Analysis: changing the objective function coefficient) Suppose that we have the following LP model: max z = 3x_1 + 2x_2 s.t. 2x_1 + x_2 lessthanorequalto 100 X-1+ x_2 lessthanorequalto 80 X_1 lessthanorequalto 40 x_1, x_2 Greaterthanorequalto 0 After adding slack variables s_1, s_2 and s_3. the optimal tableau is as shown below. By how much can the coefficient of x_1 in the objective function (c-1 = 3) increase or decrease without altering the current optimal basis?

Solution

Hello,

This is very lengthy problem. I have the following sensitivity analysis already done. You just need to copy the process and solve your problem. Hope this helps :

https://www.utdallas.edu/~scniu/OPRE-6201/documents/LP12-Sensitivity-Analysis.pdf