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Exam 25: Linear Programming

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Question 51

Multiple Choice

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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. Which of the following is not a feasible production combination?

A) 0 B and 0 C
B) 0 B and 1,100 C
C) 800 B and 600 C
D) 1,100 B and 0 C
E) 0 B and 1,400 C

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

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Question 52

Multiple Choice

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Coordinates of all corner points are substituted into the objective function when we use the approach called:

A) least squares.
B) regression.
C) enumeration.
D) graphical linear programming.
E) constraint assignment.

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

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Question 53

Multiple Choice

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The production planner for Fine Coffees, Inc., produces two coffee blends: American (A) and British (B) . Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces) per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces) 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 Dominican bean constraint?

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. What is the objective function?

Nonzero slack or surplus is associated with a binding constraint.

The term isoprofit line means that all points on the line will yield the same profit.

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. What is the time constraint?

Which objective function has the same slope as this one: $4x + $2y = $20?

The equation 3xy = 9 is linear.

The linear optimization technique for allocating constrained resources among different products is:

The logical approach, from beginning to end, for assembling a linear programming model begins with:

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. What are optimal daily profits?

It has been determined that, with respect to resource X, a one-unit increase in availability of X is within the range of feasibility for X and would lead to a $3.50 increase in the value of the objective function. This $3.50 value would be X's: