Question: Problem 2-13 (Algorithmic) Consider the following linear program: Max A + 2 B s.t. 3 A 12 3 B 15 2 A + 2 B

Problem 2-13 (Algorithmic)

Consider the following linear program:

Max	A	+	2B
s.t.
	3A				12
			3B		15
	2A	+	2B	=	12
	A, B 0

A. Select the correct graph that shows the feasible region for the problem.

Problem 2-13 (Algorithmic) Consider the following

C. Select the correct graph that shows the optimal solution for the problem.

Problem 2-13 (Algorithmic) Consider the following

(1) (ii) B B 10 10. 9 9 8. 7. (15) 5. (1.5) 3- 4.2) 2- A 9 10 10 (iv) B B 10 10. 9- 8. 7 6. (1,5) (1.5) 5 4. 3 (4,2) 2. (4.2) A A 9 10 10 b. What are the extreme points of the feasible region? (4,2) and (1,5) h that shows the optimal solution for (4,2) and (4,5) (1,5) and (4,5) (4,2), (1,5) and (4,5) (1) (ii) B B 10 10 9 9 8 72 Optimal Solution: A = 1, B = 5 (1,5) 5 (1,5) A +2B = 11 4 Optimal Solution: A = 3, B = 3 3 A-2B =9 2 (4,2) 2 1 (iii) B 10 9 8 7 6 (1,5) 5 4 Optimal Solution: A = 4, B = 2 3 A-2B=8 (4,2) 2 1 A 3 1 + 8 9 10

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