Question Question 1 (4 points) Question 1 Unsaved Consider the following linear programming model: Max: X12 + X2 + 3X3 Subj

Question 1 (4 points) Question 1 Unsaved
Consider the following linear programming model: Max: X12 + X2 + 3X3 Subject to: X1 + X2 £ 3 X1 + X2 £ 1 X1, X2 ³ 0 This problem violates which of the following properties or assumptions?
Question 1 options:
certainty
proportionality
divisibility
linearity
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Question 2 (4 points) Question 2 Saved
A redundant constraint is eliminated from a linear programming model. What effect will this have on the optimal solution?
Question 2 options:
feasible region will decrease in size
feasible region will increase in size
a decrease in objective function value
no change
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Question 3 (4 points) Question 3 Unsaved
Consider the following linear programming model: Max X1 + X2 Subject to: X1 + X2 ? 2 X1 ? 1 X2 ? 3 X1, X2 ? 0 This linear programming model has a(n)
Question 3 options:
alternate optimal solution
unbounded solution
redundant constraint
infeasible solution
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Question 4 (4 points) Question 4 Unsaved
The constraint for a given resource is given by the following equation: 2X1 + 3X2 ? 20. If X1 = 5 and X2 = 3, how many units of this resource are unused?
Question 4 options:
20
19
1
0
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Question 5 (4 points) Question 5 Unsaved
In a product mix problem, a decision maker has limited availability of weekly labor hours. Labor hours would most likely constitute a decision variable rather than a constraint.
Question 5 options:
True
False
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Question 6 (4 points) Question 6 Unsaved
What is the constraint associated with job A for the following assignment problem?

Machine

1 2 3

A $3 $4 $2

Job B $1 $3 $5

C $6 $4 $2 Let Xij = 1 if job i is assigned to machine j, otherwise 0.
Question 6 options:
3XA1 + 4XA2 + 2XA3 = 1
3XA1 + 4XA2 + 2XA3 = -1
XA1 + XA2 + XA3 = -1
-XA1 – XA2 – XA3 = -1
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Question 7 (4 points) Question 7 Unsaved
In an unbalanced transportation problem where total supply exceeds total demand, the supply constraints will typically have “?” inequalities in keeping with our convention of writing flows out of nodes with negative constraint coefficients and expressing the supply at the node as a negative number.
Question 7 options:
True
False
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Question 8 (4 points) Question 8 Unsaved
All supply and demand quantities in an assignment model equal one unit.
Question 8 options:
True
False
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Question 9 (4 points) Question 9 Unsaved
In a maximal flow problem, the right hand-side of the flow balance constraints equals 1.
Question 9 options:
True
False
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Question 10 (4 points) Question 10 Unsaved
It is possible to solve small assignment problems by enumerating all possible outcomes rather than modeling them as linear programming problems.
Question 10 options:
True
False
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Question 11 (4 points) Question 11 Unsaved
Which of the following is not an approach to decision making under uncertainty?
Question 11 options:
maximax
maximin
Laplace
expected monetary value
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Question 12 (4 points) Question 12 Unsaved
Determining the worst payoff for each alternative and choosing the alternative with the “best of the worst” is the approach called
Question 12 options:
maximax
maximin
Laplace
minimax regret
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Question 13 (4 points) Question 13 Unsaved
The approach that is used for analyzing decision trees is called
Question 13 options:
maximax
maximin
Laplace
expected monetary value
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Question 14 (4 points) Question 14 Unsaved
Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature S1, S2, and S3. Using the Laplace criterion, what would be the highest expected payoff?

S1 S2 S3

A $100 145 120

B $75 125 110

C $95 85 60

Question 14 options:
$121.7
$103.3
$80
$125
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Question 15 (4 points) Question 15 Unsaved
The expected monetary value (EMV) represents a long term average payoff.
Question 15 options:
True
False
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Question 16 (4 points) Question 16 Unsaved
Which of the following variables is considered random or probabilistic?
Question 16 options:
future interest rates
last year’s advertising budget
historical stock prices
historical interest rates
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Question 17 (4 points) Question 17 Unsaved
The ABC Corporation is considering introducing a new product, which will require buying new equipment for a monthly payment of $5,000. Each unit produced can be sold for $20.00. ABC incurs a variable cost of $10.00 per unit. What is ABC’s monthly breakeven amount in dollars?
Question 17 options:
$100,000.00
$10,000.00
$5,000.00
$50,000.00
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Question 18 (4 points) Question 18 Unsaved
If a decision model has one variable with a certain/deterministic input value and another variable with a random/probabilistic input, then the outcome of this model which is based on both variables will be probabilistic.
Question 18 options:
True
False
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Question 19 (4 points) Question 19 Unsaved
A beauty saloon employs three hairdressers. All customers get their hair washed in one area of the saloon before being taken to another area to get their hair cut. Customer arrival rate and service time follows the Poisson and exponential distributions, respectively. What is the Kendall notation for this system?
Question 19 options:
M/M/1
D/M/3
M/G/3
M/M/3
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Question 20 (4 points) Question 20 Unsaved
A queuing system has an arrival rate of 5 customers per hour and a service rate of 8 customers per hour. What is the utilization factor (?) of the system?
Question 20 options:
40
1.6
.625
5
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Question 21 (4 points) Question 21 Unsaved
Refer to the following information and output.
Number of Servers 1.0
Arrival Rate 7.00
Service Rate 10.00
P(0), probability that there are no customers in the system 30%
Lq, average length of the queue 1.63
W, average time in the system 0.33
L, average number of customers in the system 2.33
Wq, average time in the queue 0.23
Utilization factor of the system
70%

What is the probability that the service facility will be idle?

Question 21 options:
.23
.70
.33
.30
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Question 22 (4 points) Question 22 Unsaved
Refer to the following information and output.
Number of Servers 1.0
Arrival Rate 7.00
Service Rate 10.00
P(0), probability that there are no customers in the system 30%
Lq, average length of the queue 1.63
W, average time in the system 0.33
L, average number of customers in the system 2.33
Wq, average time in the queue 0.23
Utilization factor of the system
70%

What is the average number of customers in the queue plus the number being served?
Question 22 options:
.70
2.33
1.63
.23
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Question 23 (4 points) Question 23 Unsaved
What distribution is appropriate for simulating the event of rolling a single die?
Question 23 options:
continuous uniform
triangular
binomial
discrete uniform
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Question 24 (4 points) Question 24 Unsaved
Simulation usually generates optimal solutions.
Question 24 options:
True
False
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Question 25 (4 points) Question 25 Unsaved
The sum of the probabilities for all the experimental outcomes in a probability distribution must equal 1.
Question 25 options:
True
False

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