Question: Consider the following optimization model where the decision variables are r and 12 and where a is a parameter (fixed value) of the problem. ,

Consider the following optimization model where

Consider the following optimization model where the decision variables are r and 12 and where a is a parameter (fixed value) of the problem. , i.e., it is not a decision variable: max s.t. X1 + 2.62 11 + ar2 21-5 (1) (2) (3) (P) 22 > 0 E 1. Is this optimization model linear or nonlinear, continuous or mixed integer? 2. Plot the feasible region of this problem when a = 1 and the objective function. 3. For what value of a does (P) have multiple optimal solutions? Explain. 4. For what value of a does (P) have a unique solution? Explain. 5. For what value of a when (P) is unbounded? Explain. 6. If constraint r + x

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