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Answer 5,6,7,8
Consider the following optimization problem
(P)
min x1
s.t. x² + ax ≤1
22 ≤1
where a is a parameter (i.e., it is not a variable).
Answer the following questions.
1. Obtain an optimal solution of (P) graphically when a = 1.
2. Obtain an optimal solution of (P) graphically when a = -1.
Find all the values of a (if any) for which
3. (1,0) is a feasible solution to (P).
4. (0,1) is a feasible solution to (P).
5. Problem (P) is unbounded.
6. Problem (P) is infeasible.
7. Problem (P) can be written as a linear optimization model.
8. Problem (P) has multiple optimal solutions.
Transcribed Image Text:Consider the following optimization problem (P) min x1 s.t. x² + ax ≤1 22 ≤1 where a is a parameter (i.e., it is not a variable). Answer the following questions. 1. Obtain an optimal solution of (P) graphically when a = 1. 2. Obtain an optimal solution of (P) graphically when a = -1. Find all the values of a (if any) for which 3. (1,0) is a feasible solution to (P). 4. (0,1) is a feasible solution to (P). 5. Problem (P) is unbounded. 6. Problem (P) is infeasible. 7. Problem (P) can be written as a linear optimization model. 8. Problem (P) has multiple optimal solutions.
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