Multiple Choice Questions:

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. What is the objective function?

A. $2 L + $3 D = Z

B. $2 L + $4 D = Z

C. $3 L + $2 D = Z

D. $4 L + $2 D = Z

E. $5 L + $3 D = Z

2. What is the time constraint?

A. 2 L + 3 D 480

B. 2 L + 4 D 480

C. 3 L + 2 D 480

D. 4 L + 2 D 480

E. 5 L + 3 D 480

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case.

3. What is the objective function?

A. $4 R + $6 S = Z

B. $2 R + $3 S = Z

C. $6 R + $4 S = Z

D. $3 R + $2 S = Z

E. $5 R + $5 S = Z

4. What is the production time constraint (in minutes)?

A. 2 R + 3 S 720

B. 2 R + 5 S 720

C. 3 R + 2 S 720

D. 3 R + 5 S 720

E. 5 R + 5 S 720

An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same) circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours) each, and the B-200 requires 30 minutes (.5 hours) each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each.

5. What is the objective function?

A. $4.00 A + $1.00 B = Z

B. $0.25 A + $1.00 B = Z

C. $1.00 A + $4.00 B = Z

D. $1.00 A + $1.00 B = Z

E. $0.25 A + $0.50 B = Z

6. What is the assembly time constraint (in hours)?

A. 1 A + 1 B 800

B. 0.25 A + 0.5 B 800

C. 0.5 A + 0.25 B 800

D. 1 A + 0.5 B 800

E. 0.25 A + 1 B 800

Answer rating: 100% (QA)

1 C 3 L 2 D Z 2 B 2 L ... View the full answer