Question: For the linear program Max 4 A + 6 B s.t. A + 2 B 8 5 A + 3 B 15 A , B

For the linear program

Max	4 A	+	6 B
s.t.
	A	+	2B	8
	5A	+	3B	15
	A, B 0

select the correct graph that identifies the optimal solution. What is the value of the objective function at the optimal solution?

For the linear program Max 4 A + 6 B s.t. A + 2 B

(i) B 10 9 8 7- 6 Optimal Solution: A=0, B=5 5 3- 2 2- 1 A 2 3 4 5 6 7 9 10 4 (ii) B 10 9 00 7. 6 5 Optimal Solution: A=4, B=0 3 2 1 A 2 3 5 6 9 10 (iii) B 10 9 7- 6 5 Optimal Solution: A=6/7, B=25/7 3- 2- A 2 3 5 6 7 9 10 (iv) B 10 9 8 7- 6 5 3- 2 Optimal Solution: A=8, B=0 1 A 2 3 5 6 9 10 The value of the objective function at the optimal solution is

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