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.
Required:
a. What are decision variables
b. What is the objective function?
c. What are the two constrains?

Answer 1

Answer:

See   notes below

Explanation:

The decision  Variables includes the following are the quantities of lite beer and  dark beer to be produced.

Quantity of lite =x

Quantity of Dark  =y

The  objective is to MaxiMize total profit.

let total total be z

MaxiMize z =3x  + 2y

The two constraints  are

Production   tiMe: 2x +  4y ≤ 480

Malt  : 5x +  4y ≤ 675