# Mat 540 Quiz 4

**Topics:**Linear programming, Soft drink, Optimization

**Pages:**7 (1474 words)

**Published:**August 27, 2013

Instructions

Question 1 .2 out of 2 points

The standard form for the computer solution of a linear programming problem requires all variables to be to the right and all numerical values to be to the left of the inequality or equality sign

Answer

Selected Answer: False

Correct Answer: False

. Question 2 .2 out of 2 points

In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities.

Answer

Selected Answer: True

Correct Answer: True

. Question 3 .2 out of 2 points

In a transportation problem, a demand constraint (the amount of product demanded at a given destination) is a less-than-or equal-to constraint (≤). Answer

Selected Answer: False

Correct Answer: False

. Question 4 .2 out of 2 points

A systematic approach to model formulation is to first construct the objective function before determining the decision variables.

Answer

Selected Answer: False

Correct Answer: False

. Question 5 .2 out of 2 points

Product mix problems cannot have "greater than or equal to" (≥) constraints.Answer

Selected Answer: False

Correct Answer: False

. Question 6 .2 out of 2 points

In formulating a typical diet problem using a linear programming model, we would expect most of the constraints to be related to calories.

Answer

Selected Answer: False

Correct Answer: False

. Question 7 .2 out of 2 points

When systematically formulating a linear program, the first step is Answer

Selected Answer: Identify the decision variables

Correct Answer: Identify the decision variables

. Question 8 .2 out of 2 points

The following types of constraints are ones that might be found in linear programming formulations: 1. ≤

2.

=

3.

>

Answer

Selected Answer: 1 and 2

Correct Answer: 1 and 2

. Question 9 .2 out of 2 points

In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25, and $110, respectively. The investor stipulates that stock 1 must not account for more than 35% of the number of shares purchased. Which constraint is correct? Answer

Selected Answer: X1 ≤ 0.35(X1 + X2 +.X3)

Correct Answer: X1 ≤ 0.35(X1 + X2 +.X3)

. Question 10 .0 out of 2 points

Small motors for garden equipment is produced at 4 manufacturing facilities and needs to be shipped to 3 plants that produce different garden items (lawn mowers, rototillers, leaf blowers). The company wants to minimize the cost of transporting items between the facilities, taking into account the demand at the 3 different plants, and the supply at each manufacturing site. The table below shows the cost to ship one unit between each manufacturing facility and each plant, as well as the demand at each plant and the supply at each manufacturing facility.

What is the demand constraint for plant B?

Answer

Selected Answer: x 1B + x 2B +x 3B = 600

Correct Answer: x 1B + x 2B +x 3B = 150

. Question 11 .2 out of 2 points

Assume that x2, x7 and x8 are the dollars invested in three different common stocks from New York stock exchange. In order to diversify the investments, the investing company requires that no more than 60% of the dollars invested can be in "stock two". The constraint for this requirement can be written as: Answer

Selected Answer: .4x2 - .6x7 - .6x8 ≤ 0

Correct Answer: .4x2 - .6x7 - .6x8 ≤ 0

. Question 12 .2 out of 2 points

Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8,000 gallons of component 1 available, and the demand gasoline types 1 and 2 are 11,000 and 14,000 gallons respectively. Write the supply constraint for component 1. Answer

Selected Answer: x11 + x12 ≤ 8000...

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