a transshipment problem

Question
1

In
a transshipment problem, items may be transported from destination
to
destination and from source to source.

Answer
True
False

Question
2

In
a total integer model, all decision variables have integer
solution
values.

Answer
True
False

Question
3

In
an unbalanced transportation model, supply does not equal demand
and
one set of constraints uses ? signs.

Answer
True
False
Question
4

If
we are solving a 0-1 integer programming problem, the
constraint
x1 = x2 is a conditional
constraint.

Answer
True
False

uestion
5

Fractional
relationships between variables are not permitted in the
standard
form of a linear program.

Answer
True
False

Question
5

Fractional
relationships between variables are not permitted in the
standard
form of a linear program.

Answer
True
False

Question
6

Excel
can be used to simulate systems that can be represented by
both
discrete and continuous random variables.

Answer
True
False

Question
7

The
probability of observing x
successes in a fixed number of trials
is a problem related to
Answer

the
normal distribution

the
binomial
distribution

conditional
probability

the
Poisson distribution

Question
8

Using
the maximin criterion to make a decision, you
Answer

Construct
a table of regrets. Look at the
maximum regret for each
decision. Select the decision with the smallest
maximum regret.

Look
at the worst payoff for each possible
decision and select the
decision with the largest worst payoff

Look
at
the best payoff for each possible decision and select the
decision with the
largest best payoff

Consult
an astrological table to forecast the
state of nature

Question
9

Using
the minimax regret criterion to make a decision, you
Answer

Construct
a table of regrets. Look at the
maximum regret for each
decision. Select the decision with the smallest
maximum regret.

Look
at the worst payoff for each possible
decision and select the
decision with the largest worst payoff

Construct
a
table of regrets. Look at the minimum regret for each
decision.
Select the decision with the smallest minimum regret.

Run
in circles, scream and shout

Question
10

A
business owner is trying to decide whether to buy, rent, or
lease
office space and has constructed the following payoff
table based on whether
business is brisk or slow.

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The
conservative (maximin) strategy is:
Answer

Buy

Rent

Lease

Brisk.

Question
11

An
equation or inequality that expresses a resource restriction in
a
mathematical model is called _____________________.
Answer

a
decision variable.

a
parameter.

an
objective function.

a
constraint.

Question
12

Steinmetz
furniture buys 2 products for resale: big shelves (B) and
medium
shelves (M). Each big shelf costs $100 and requires 100 cubic feet
of
storage space, and each medium shelf costs $50 and requires
80 cubic feet of
storage space. The company has $25000 to invest
in shelves this week, and the
warehouse has 18000 cubic feet
available for storage. Profit for each big shelf
is $85 and for
each medium shelf is $75.In
order to maximize profit, how many
big shelves (B) and how many medium shelves
(M) should be
purchased?
Answer

B
= 225, M
= 0

B
= 0, M = 225

B
= 150, M = 75

B
= 75, M = 150

Question
13

Steinmetz
furniture buys 2 products for resale: big shelves (B) and
medium
shelves (M). Each big shelf costs $100 and requires 100 cubic feet
of
storage space, and each medium shelf costs $50 and requires
80 cubic feet of
storage space. The company has $25000 to invest
in shelves this week, and the
warehouse has 18000 cubic feet
available for storage. Profit for each big shelf
is $85 and for
each medium shelf is $75. What is the storage space
constraint?
Answer

Max
Z = 75B + 85M

100B
+ 50M ? 25000

100B
+
80M ? 18000

100B
+ 80M = 18000

5
points

Question
14

For
a maximization problem, assume that a constraint is binding. If
the
original amount of a resource is 4 lbs., and the range of
feasibility
(sensitivity range) for this constraint is from 3
lbs. to 6 lbs., increasing
the amount of this resource by 1 lb.
will result in the:
Answer

same
product
mix, different total profit

different
product mix, same total profit as
before

same
product mix, same total profit

different
product mix, different total
profit

Question
15

The
following is an Excel “Answer†and “Sensitivityâ€
reports of a linear
programming problem:

The
Answer Report:

The
Sensitivity Report:

Which
additional resources would you recommend to be increased?
Answer

mix/mold

kiln

paint
and seal

Cannot
tell from the information provided

Question
16

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 demands for gasoline
types 1 and 2 are 11,000 and 14,000
gallons respectively. Write
the supply constraint for component 1.
Answer

x11
+ x21 ? 8000

x12
+ x21 ? 8000

x11
+
x12 ? 8000

x11
+ x12 ? 8000

Question
17

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 has up to $50,000
to invest.
An appropriate part of the model would be
Answer

15X1
+
47.25X2 +110 X3 ? 50,000

MAX
Z =15X1 + 47.25X2 + 110X3

X1
+ X2 +X3 ? 50,000

MAX
Z = 50(15)X1 + 50
(47.25)X2 + 50 (110)X3

Question
18

If
we are solving a 0-1 integer programming problem, the
constraint
x1 = x2 is a __________
constraint.
Answer

multiple
choice

mutually
exclusive

conditional

corequisite

Question
19

The
Kirschner Company has a contract to produce garden hoses for
a
customer. Kirschner has 5 different machines that can produce
this kind of
hose. Write the constraint that indicates they have
to use at least three of
the five machines in their
production.
Answer

Y1
+ Y2 + Y3 + Y4
+ Y5 ? 3

Y1
+ Y2 + Y3 + Y4
+ Y5 = 3

Y1
+ Y2 + Y3 + Y4
+ Y5 ? 3

none
of the above

Question
20

The
assignment problem constraint x31+x32+x33+x34 ? 2 means
Answer

agent
3
can be assigned to 2 tasks

agent
3 can be assigned to no more than 2 tasks

a
mixture of agents 1, 2, 3 and 4 will be
assigned to tasks

agent
2 can be assigned to 3 tasks

Question
21

The
following table represents the cost to ship from Distribution
Center
1, 2, or 3 to Customer A, B, or C.

The
constraint that represents the quantity demanded by Customer B
is:
Answer

6X1B
+ 2X2B + 8X3B ? 350

6X1B
+ 2X2B + 8X3B = 350

X1B
+ X2B + X3B ? 350

X1B
+
X2B + X3B = 350

Question
22

Assume
that it takes a college student an average of 5 minutes to find
a
parking spot in the main parking lot. Assume also that this
time is
normally distributed with a standard deviation of 2
minutes. What percentage of
the students will take between 2 and
6 minutes to find a parking spot in the
main parking lot?
Answer

11.13%

47.72%

43.32%

62.47%

Question
23

Jack
is considering pursuing an MS in Information Systems degree. He
has
applied to two different universities. The acceptance rate
for applicants with
similar qualifications is 30% for University
X and 60% for University Y. The
decisions of each university
have no effect on each other. This means
that they are:
Answer

mutually
exclusive

independent

controlled
by the central limit theorem

all
of the above

Question
24

A
bakery is considering hiring another clerk to better serve
customers.
To help with this decision, records were kept to determine how
many
customers arrived in 10-minute intervals. Based on 100
ten-minute
intervals, the following probability distribution and
random number assignments
developed.

Number
of Arrivals

Probability

Random
numbers

6

.1

.01
– .10

7

.3

.11
– .40

8

.3

.41
– .70

9

.2

.71
– .90

10

.1

.91
– .00

Suppose
the next three random numbers were .18, .89 and .67. How
many
customers would have arrived during this 30-minute
period?
Answer

23

24

22

25

uestion
25

For
the following frequency distribution of demand, the random
number
0.8177 would be interpreted as a demand of:

Answer

0

1

2

3

Question
26

Given
an actual demand of 59, a previous forecast of 64, and an alpha
of
.3, what would the forecast for the next period be using
simple exponential
smoothing?
Answer

36.9

57.5

60.5

62.5

uestion
27

Consider
the following graph of sales.

.png”>
Which
of the following characteristics is exhibited by the data?
Answer

Trend
only

Trend
plus seasonal

Trend
plus
irregular

Seasonal

Question
28

Students
are organizing a “Battle of the Bands” contest.
They know
that at least 100 people will attend. The rental fee for the
hall
is $200 and the winning band will receive $500. In order to
guarantee
that they break even, how much should they charge for each ticket?
(Note:
Write your answer with two significant places after the
decimal and do not
include the dollar “$†sign. For
instance, for five dollars, write your
answer as 5.00).

Answer

Question
29

Carter’s
Bed & Breakfast breaks even every month if they book 30
rooms
over the course of a month. Their fixed cost is $1050 per month
and
the revenue th

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