Question: Consider the following linear program. Min 8X + 12Y s.t. 1X + 3Y 7 2X + 2Y 10 6X + 2Y 14 X, Y 0

Consider the following linear program.

Min	8X	+	12Y
s.t.
	1X	+	3Y	7
	2X	+	2Y	10
	6X	+	2Y	14
	X,	Y	0

(a)Use the graphical solution procedure to find the optimal solution. (Graph the constraint lines, the feasible region, the objective function line, and the optimal solution.)

What is the value of the objective function at the optimal solution? _________

at (X, Y) = (__,__)

Please Show Graph and all work.

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