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Exam 2: Linear programming: Basic Concepts

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Question 31

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An electronics firm produces two models of pocket calculators: the A-100 (A) and the B-200 (B) . Each model uses one circuit board, of which there are only 2,500 available for this week's production. In addition, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators. Each A-100 requires 15 minutes to produce while each B-200 requires 30 minutes to produce. The firm forecasts that it could sell a maximum of 4,000 of the A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each and profits for the B-200 are $4.00 each. -What is the weekly profit when producing the optimal amounts?

A) $10,000
B) $4,600
C) $2,500
D) $5,200
E) $6,400

F) A) and D)
G) All of the above

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Question 32

Multiple Choice

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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) . There are at most 12 hours per day of production time and 1500 gallons per day of carbonated water available. 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. -Which of the following is not a feasible solution?

A) (R,S) = (0,0)
B) (R,S) = (0,240)
C) (R,S) = (180,120)
D) (R,S) = (300,0)
E) (R,S) = (180,240)

F) A) and B)
G) C) and D)

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Question 33

Multiple Choice

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The owner of Crackers, Inc. produces both Deluxe (D) and Classic (C) crackers. She only has 4,800 ounces of sugar, 9,600 ounces of flour, and 2,000 ounces of salt for her next production run. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce. A box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt to produce. Profits are 40 cents for a box of Deluxe crackers and 50 cents for a box of Classic crackers. -What is the daily profit when producing the optimal amounts?

The operations manager of a mail order house purchases double (D) and twin (T) beds for resale. Each double bed costs $500 and requires 100 cubic feet of storage space. Each twin 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 double bed is $300 and for each twin bed is $150. -What is the storage space constraint?

When formulating a linear programming problem on a spreadsheet,the data cells will show the optimal solution

Linear programming models can have either ≤ or ≥ inequality constraints but not both in the same problem

Which of the following is not a component of a linear programming model?

Where are the data cells located?

Which of the following constitutes a simultaneous solution to the following 2 equations?

All linear programming models have an objective function and at least two constraints

A local bagel shop produces 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 baking. Bagel profits are 20 cents each and croissant profits are 30 cents each. -What is the objective function?

Which of the following constitutes a simultaneous solution to the following 2 equations?

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L) and Dark (D) . He can only get 675 gallons of malt extract per day for brewing and his brewing hours are limited to 8 hours per day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract. 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?

For the products A,B,C,and D,which of the following could be a linear programming objective function?

Where are the output cells located?

An electronics firm produces two models of pocket calculators: the A-100 (A) and the B-200 (B) . Each model uses one circuit board, of which there are only 2,500 available for this week's production. In addition, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators. Each A-100 requires 15 minutes to produce while each B-200 requires 30 minutes to produce. The firm forecasts that it could sell a maximum of 4,000 of the A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each and profits for the B-200 are $4.00 each. -What is the objective function?

The value of the objective function decreases as the objective function line is moved away from the origin

What is the constraint for Dominican beans?

When solving a maximization problem graphically,it is generally the goal to move the objective function line out,away from the origin,as far as possible

A maximization problem can generally be characterized by having all ≥ constraints