The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L) and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes) per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg, and profits for Dark beer are $2.00 per keg.

(1)Please make the model including

What are decision variables(1 Point)

What is the objective function?(1 Point)

What are the two constrains?(2 points)

(2) Please draw the constrains on the graph.(2 point)

(3) Please shadow the feasible space(1 point)

(4) Please list all corner points(1 point)

(5) Which is the best option?(1 Point)

(6) What is the profit under your choice in 5(1Point)