For the linear program

Max	2 A	+	3 B
s.t.
	A	+	4B		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?

(i)

optical solution a=2 b=0

(ii)

optical solution a=34/17 b=25/17

(iii)

optical solution a=8 b=0

(iv)

optical solution a=0 b=5

The value of the objective function at the optimal solution is .