a. Create a set of linear constraints that bounds decision variables, x₁ and x₂ , inside the following pentagon:

Report: The A and b matrices that would be used by linprog to bound the decision variables inside the pentagon.

b. Create three different objective functions that, when minimized, places the optimal solution at points P, Q, and R, respectively. Report: The f matrices used to define the objective function for linprog to place the optimal solution at points P, Q, and R, in that order.

c.Use the objective function and constraints used to produce optimal point, P, but solve with an additional a constraint such that x₁=x₂ . Report: The optimal values of all decision variables.

Note: vertices all at integer values