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

A) True
B) False

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An infeasible solution violates all of the constraints of the problem

A) True
B) False

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When formulating a linear programming problem on a spreadsheet,which of the following is true?


A) Parameters are called data cells
B) Decision variables are called changing cells
C) Nonnegativity constraints must be included
D) The objective function is called the objective cell
E) All of the above

F) All of the above
G) B) and E)

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A feasible solution is one that satisfies all the constraints of a linear programming problem simultaneously

A) True
B) False

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Where are the changing cells located?


A) B2:C2
B) B2:C2,B5:C7,and F5:F7
C) B10:C10
D) F10
E) None of the above

F) B) and D)
G) D) and E)

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The feasible region only contains points that satisfy all constraints

A) True
B) False

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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. -What is the time constraint?


A) 2R +3S ≤ 720
B) 2R + 5S ≤ 720
C) 3R + 2S ≤ 720
D) 3R + 5S ≤ 720
E) 5R + 5S ≤ 720

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

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Which of the following is not a feasible solution?


A) (A,B) = (0,0)
B) (A,B) = (0,400)
C) (A,B) = (200,300)
D) (A,B) = (400,0)
E) (A,B) = (400,400)

F) None of the above
G) All of the above

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Linear programming allows a manager to find the best mix of activities to pursue and at what levels

A) True
B) False

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Linear programming problems always involve either maximizing or minimizing an objective function

A) True
B) False

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Constraints limit the alternatives available to a decision-maker

A) True
B) False

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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 objective function?


A) P = 0 5D + 0 4C
B) P =0 2D + 0 3C
C) P = 0 4D + 0 5C
D) P = 0 1D + 0 2C
E) P =0 6D + 0 8C

F) C) and E)
G) A) and B)

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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. -Which of the following is not a feasible solution?


A) (A,B) = (0,0)
B) (A,B) = (0,1000)
C) (A,B) = (1800,700)
D) (A,B) = (2500,0)
E) (A,B) = (100,1600)

F) A) and E)
G) C) and E)

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After the data is collected the next step to formulating a linear programming model is to:


A) identify the decision variables
B) identify the objective function
C) identify the constraints
D) specify the parameters of the problem
E) None of the above

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

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The parameters of a model are the numbers in the data cells of a spreadsheet

A) True
B) False

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The best feasible solution is called the optimal solution

A) True
B) False

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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 daily profit when producing the optimal amounts?


A) $0
B) $240
C) $420
D) $405
E) $505

F) D) and E)
G) A) and C)

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The line forming the boundary of what is permitted by a constraint is referred to as a parameter

A) True
B) False

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Solving linear programming problems graphically,


A) is possible with any number of decision variables
B) provides geometric intuition about what linear programming is trying to achieve
C) will always result in an optimal solution
D) All of the above
E) None of the above

F) A) and B)
G) B) and E)

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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. -Which of the following is not a feasible solution?


A) (B,C) = (0,0)
B) (B,C) = (0,1100)
C) (B,C) = (800,600)
D) (B,C) = (1100,0)
E) (B,C) = (0,1400)

F) C) and D)
G) None of the above

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