Consider the following problem that you intend to set up as a linear programming problem.

A company is trying to determine an optimal advertising media mix for its new product. The company is considering newspaper ads, television ads, and radio ads. The following table summarizes the cost of each advertising medium, along with the number of customers that can be reached through each medium.

Medium Cost/ad Customers reached(Exposure) per ad

Newspaper $200 1000

Television $1000 5000

Radio $400 2000

The company wishes to place more radio ads than newspaper ads. Moreover, the company does not wish to place more than 30 newspaper ads, and no more than 15 radio ads. The total advertising budget is set at $100,000.The companys objective is to maximize its total audience exposure (i.e., number of customers reached).

How many decision variables are there?

Select one:

a. 2

b. 3

c. 4

d. 5

Consider the following problem that you intend to set up as a linear programming problem.

A company is trying to determine an optimal advertising media mix for its new product. The company is considering newspaper ads, television ads, and radio ads. The following table summarizes the cost of each advertising medium, along with the number of customers that can be reached through each medium.

Medium Cost/ad Customers reached(Exposure) per ad

Newspaper $200 1000

Television $1000 5000

Radio $400 2000

The company wishes to place more radio ads than newspaper ads. Moreover, the company does not wish to place more than 30 newspaper ads, and no more than 15 radio ads. The total advertising budget is set at $100,000.The companys objective is to maximize its total audience exposure (i.e., number of customers reached).

How many constraints are there excluding the non-negativity constraint?

Select one:

a. 2

b. 3

c. 4

d. 5

What is the constraint for node 3 in the following shortest path problem?

Assume that node 1 is the source and node 4 is the ending node.

Select one:

a. X₁₃ + X₂₃ X₃₄ = 1

b. X₁₃ + X₂₃ X₃₄ = -1

c. X₁₃ + X₂₃ X₂₄ = 0

d. X₁₃ + X₂₃ X₃₄ = 0

A company wants to manage its distribution network which is depicted below.

Which of the following node(s) would be considered as a demand node:

Select one:

a. 1

b. 2

c. 6

d. none of the above

Consider the following optimal solution to the maximal flow problem represented by the following Excel spreadsheet.

Units					Upper				Net	Supply/
Of Flow	From		To		Bound		Nodes		Flow	Demand
4	1	A	2	B	4		1	A	?	?
8	1	A	3	C	8		2	B	?	?
4	2	B	4	D	6		3	C	?	?
0	2	B	5	E	2		4	D	?	?
4	3	C	4	D	4		5	E	?	?
4	3	C	5	E	5
8	4	D	5	E	9
11	5	E	1	A	999

The maximum flow is:

Select one:

a. 12

b. 999

c. 4

d. 44

e. 11

Consider the following optimal solution to the maximal flow problem represented by the following Excel spreadsheet.

Units					Upper				Net	Supply/
Of Flow	From		To		Bound		Nodes		Flow	Demand
4	1	A	2	B	4		1	A	?	?
8	1	A	3	C	8		2	B	?	?
4	2	B	4	D	6		3	C	?	?
0	2	B	5	E	2		4	D	?	?
4	3	C	4	D	4		5	E	?	?
4	3	C	5	E	5
8	4	D	5	E	9
11	5	E	1	A	999

What is the supply/demand value for node 3?

Select one:

a. 1

b. -1

c. 0

d. Binary

Consider the following optimal solution to the maximal flow problem represented by the following Excel spreadsheet.

Units					Upper				Net	Supply/
Of Flow	From		To		Bound		Nodes		Flow	Demand
4	1	A	2	B	4		1	A	?	?
8	1	A	3	C	8		2	B	?	?
4	2	B	4	D	6		3	C	?	?
0	2	B	5	E	2		4	D	?	?
4	3	C	4	D	4		5	E	?	?
4	3	C	5	E	5
8	4	D	5	E	9
11	5	E	1	A	999

What is the objective function for this problem?

Select one:

a. Max X14

b. Max X41

c. Max X15

d. Max X51

Consider the following optimal solution to the maximal flow problem represented by the following Excel spreadsheet.

Units					Upper				Net	Supply/
Of Flow	From		To		Bound		Nodes		Flow	Demand
4	1	A	2	B	4		1	A	?	?
8	1	A	3	C	8		2	B	?	?
4	2	B	4	D	6		3	C	?	?
0	2	B	5	E	2		4	D	?	?
4	3	C	4	D	4		5	E	?	?
4	3	C	5	E	5
8	4	D	5	E	9
11	5	E	1	A	999

How many decision variables are there?

Select one:

a. 5

b. 6

c. 7

d. 8

Identify the correct distribution for this Simulation problem:

You want to describe the number of defective items in a total of 50 manufactured items, 7% of which (on the average) were found to be defective during preliminary testing.

Select one:

a. Binomial

b. Triangular

c. Custom

d. Discrete Uniform

e. Continuous Uniform

A handyman specializes in fixing plumbing and electrical problems. Assume that 40% of the service calls relate to electric problems, while 60% of the service calls relate to plumbing problems. On average, the time it takes to fix an electrical problem can range between 15 and 45 minutes (all occurring with equal likelihood). The time it takes to fix a plumbing problem can take a minimum of 15 minutes and a maximum of 60 minutes, where 30 minutes is the most probable time. Crystal Ball is used to simulate the average time it takes to fix a given service call as shown below.

What function represents cell A8?

Select one:

a. =CB.Uniform(B2:B3)

b. =CB.Custom(A3:B4)

c. =CB.DiscreteUniform(A3:B4)

d. =CB.Triangular(A3,A4,B3)

A handyman specializes in fixing plumbing and electrical problems. Assume that 40% of the service calls relate to electric problems, while 60% of the service calls relate to plumbing problems. On average, the time it takes to fix an electrical problem can range between 15 and 45 minutes (all occurring with equal likelihood). The time it takes to fix a plumbing problem can take a minimum of 15 minutes and a maximum of 60 minutes, where 30 minutes is the most probable time. Crystal Ball is used to simulate the average time it takes to fix a given service call as shown below.

What distribution best represents fixing an electric related problem?

Select one:

a. discrete uniform

b. continuous uniform

c. normal

d. triangular

e. custom

A handyman specializes in fixing plumbing and electrical problems. Assume that 40% of the service calls relate to electric problems, while 60% of the service calls relate to plumbing problems. On average, the time it takes to fix an electrical problem can range between 15 and 45 minutes (all occurring with equal likelihood). The time it takes to fix a plumbing problem can take a minimum of 15 minutes and a maximum of 60 minutes, where 30 minutes is the most probable time. Crystal Ball is used to simulate the average time it takes to fix a given service call as shown below.

What distribution best represents fixing a plumbing related problem?

Select one:

a. discrete uniform

b. continuous uniform

c. normal

d. triangular

e. custom

Simulation results can produce different solutions in repeated runs.

Select one:

a. True

b. False

Replicating a model about 100 times is adequate for the simulation results to be valid and useful.

Select one:

a. True

b. False

In Crystal Ball, probability distributions for input random variables can be specified using either the CB built-in functions, or using Crystal Balls Define Forecast menu.

Select one:

a. True

b. False

The random variable weight is considered to be discrete.

Select one:

a. True

b. False

The random variable gender is considered to be continuous.

Select one:

a. True

b. False

The sum of the probabilities for all the experimental outcomes in a probability distribution must equal 1.

Select one:

a. True

b. False

If you simulate the event of tossing a coin 10 times, exactly 5 of the outcomes will always be heads and 5 will be tails as the probability is 50% for each outcome to occur.

Select one:

a. True

b. False

What are output/performance measures referred to in Crystal Ball?

Select one:

a. forecasts

b. decisions

c. assumptions

d. random variables

e. cell preferences

A hardware store would like to use simulation to determine how many lawn mowers it should keep in stock during the summer season. Their order quantity is based on historical consumer demand. Demand has historically showed a minimum value of 100 lawn mowers, a maximum value of 200 mowers, and an average typical value of 150 lawn mowers. What is the best distribution to simulate consumer demand for lawn mowers?

Select one:

a. discrete uniform

b. continuous uniform

c. normal

d. triangular

e. custom

Joe Smith is a contractor who owns his own business. In a typical month, the number of contracts that he gets varies according to the following distribution:

Number of contracts	8	7	6	5
Probability	0.20	0.30	0.40	0.10

What distribution best represents simulating the number of contracts in a given month?

Select one:

a. discrete uniform

b. continuous uniform

c. normal

d. triangular

e. custom