Question

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. What is the objective function?

Multiple Choice. Choice the answser below and explain.

• $4L + $2D = Z

• $5L + $3D = Z

• $2L + $3D = Z

• $2L + $4D = Z

• $3L + $2D = Z

Answer 1

Here, objective will be to maximize the profit.

Given that,

Profit per unit for Lite Beer (L) = $3

Profit per unit for Dark beer (D) = $2

Profit equation for L unit of Lite beer & D unit of Dark beer = 3L + 2D

Hence,

Objective Max Z = 3L + 2D