Multiple Choice Questions:

A local bagel shop produces two products: bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each.

1. What is the objective function?

A. $0.30 B + $0.20 C = Z

B. $0.60 B + $0.30 C = Z

C. $0.20 B + $0.30 C = Z

D. $0.20 B + $0.40 C = Z

E. $0.10 B + $0.10 C = Z

2. What is the sugar constraint (in tablespoons)?

A. 6 B + 3 C ? 4,800

B. 1 B + 1 C ? 4,800

C. 2 B + 4 C ? 4,800

D. 4 B + 2 C ? 4,800

E. 2 B + 3 C ? 4,800

The owner of Crackers, Inc. produces two kinds of crackers: Deluxe (D) and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $0.40; and for a box of Classic crackers, $0.50.

3. What is the objective function?

A. $0.50 D + $0.40 C = Z

B. $0.20 D + $0.30 C = Z

C. $0.40 D + $0.50 C = Z

D. $0.10 D + $0.20 C = Z

E. $0.60 D + $0.80 C = Z.

4. What is the constraint for sugar?

A. 2 D + 3 C ? 4,800

B. 6 D + 8 C ? 4,800

C. 1 D + 2 C ? 4,800

D. 3 D + 2 C ? 4,800

E. 4 D + 5 C ? 4,800

The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K) and Queen Beds (Q). Each King Bed costs $500 and requires 100 cubic feet of storage space, and each Queen Bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each King Bed is $300, and for each Queen Bed is $150.

5. What is the objective function?

A. Z = $150K + $300Q

B. Z = $500K + $300Q

C. Z = $300K + $150Q

D. Z = $300K + $500Q

E. Z = $100K + $90Q

6. What is the storage space constraint?

A. 200K + 100Q ? 18,000

B. 200K + 90Q ? 18,000

C. 300K + 90Q ? 18,000

D. 500K + 100Q ? 18,000

E. 100K + 90Q ? 18,000