Consider the following linear program.

Min8X + 12Ys.t.1X + 3Y ≥ 62X + 2Y ≥ 86X + 2Y ≥ 12X,Y≥ 0

(a)

Use the graphical solution procedure to find the optimal solution.

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

at (X, Y) =

(b)

Assume that the objective functio