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QNT 5160 QUIZ #5 CHAPTER 2, 3 & 5, QNT 5160 final quiz 5

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QNT 5160 QUIZ #5 CHAPTER 2, 3 & 5 QUESTION 1. A linear programming problem where the objective is to match employees to an equal number of tasks at a minimum costs is called: A resource-allocation problem A matching problem An assignment problem A cost-benefit tradeoff problem None of the above 0.5 points

Q U E S T I O N 2 Which of the following is true about linear programming

problems: Linear programming problems may have multiple goals or objectives specified Linear programming problems always have an objective function and at least two constraints Linear programming problems always involve minimizing an objective function An example of a decision variable in a linear programming problem is profit maximization Constraints in a linear programming problem limit the alternatives available to a decision maker 0.5 points

Q U E S T I O N 3 The production planner for Fine Coffees, Inc. produces two

coffee blends: American (A) and British (B). He can only get 300 pounds of Colombian beans per week and 200 pounds of Dominican beans per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. What is the constraint for Dominican beans? 12A + 8B ≤ 4,800 8A + 12B ≤ 4,800 4A + 8B ≤ 3,200 8A + 4B ≤

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3,200 4A + 8B ≤ 4,800 0.5 points

Q U E S T I O N 4 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. Which of the following is NOT a feasible solution? (A, B) = (0, 0) (A, B) = (0, 1000) (A, B) = (1800, 700) (A, B) = (2500, 0) (A, B) = (100, 1600) 0.5 points

Q U E S T I O N 5 A manager does NOT necessarily have to know the following

things about linear programming: The practical value of linear programming for solving real business problems The relevance and applicability of linear programming in various business situations The difference between competent and shoddy studies using linear programing The technical details of a large model formulation and validation All of the above 0.5 points

Q U E S T I O N 6 What is the feasible solution for the following problem?

Maximize

P = 3x + 15y

subject to

2x + 4y ≤ 12 5x + 2y ≤ 10

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and

x ≥ 0, y ≥ 0. (x, y) = (2.5, 0) (x, y) = (0, 5) (x, y) = (0, 0) (x, y) = (1, 5) (x, y) = (6, 0) 0.5 points

Q U E S T I O N 7 In linear programming, the solution that does not violate any

constraints and is the best according to the objective function is referred to as:

Optimal Feasible Non negative Targeted All of the above 0.5 points

Q U E S T I O N 8 When formulating a linear programming problem on a

spreadsheet, which of the following is true? The data cells will show the optimal solution The data cells contain the model parameters The objective cells will show the levels of activities for the decision being made The objective cell will decrease as the objective function line is moved away from the origin All of the above 0.5 points

Q U E S T I O N 9 Which of the following is NOT true about linear programming

problems:

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