Consider Exercise 4 of Chapter 2, Section 3 involving the farmer and his hogs, chickens, and ostriches.

Question:

Consider Exercise 4 of Chapter 2, Section 3 involving the farmer and his hogs, chickens, and ostriches.

(a) Find a system of inequalities characterizing the set of all perturbation vectors \(\Delta \mathbf{b}=\left(\Delta_{1}, \Delta_{2}\right)\) for \(\mathbf{b}\) such that the optimal solution does not change under the perturbation.

(b) Express the new value of the objective function in terms of \(\Delta_{1}\) and \(\Delta_{2}\).

(c) Find the range of values of the two individual perturbations such that the current solution remains feasible and optimal.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: