Question 1

Random numbers are typically generated on the computer using a numerical technique.

Accepted Answer

A) True 
 B)False

Question 2

The ________ command is used in generating the random numbers with Excel.

Accepted Answer

The answer of The ________ command is used in generating...

Question 3

Simulation results will always equal analytical results if 30 trials of the simulation have been conducted.

Accepted Answer

A) True 
 B)False

Question 4

A graduate research assistant "moonlights" at the short order counter in the student union snack bar in the evenings. He is considering asking for help taking orders, but needs to convince the management that they should hire another student. Because he is taking a simulation class, he thinks it may be the perfect way to convince management to hire more help if he can show that customers have to wait a long time. When a customer arrives, he takes their order and their payment, prepares the food, gives it to the customer, and then takes the order from the next person in line. If someone arrives while he's cooking an order, they have to wait until he's completed the current order. He is working on the simulation and a portion is shown below.
-Complete the table below and determine the average customer wait time.
 $$\begin{array} { | c | c | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Customer } \
\text { Number }
\end{array} & \begin{array} { c } 
\text { Time of } \
\text { Arrival }
\end{array} & \begin{array} { c } 
\text { Time } \
\text { Order } \
\text { Taken }
\end{array} & \begin{array} { c } 
\text { Order } \
\text { Prep } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Customer } \
\text { Receives } \
\text { Food }
\end{array} & \begin{array} { c } 
\text { Customer } \
\text { Wait } \
\text { Time }
\end{array} \
\hline 1 & 2 & 2 & 4 & 6 & 0 \
\hline 2 & 14 & 14 & 7 & & \
\hline 3 & 19 & & 6 & & \
\hline 4 & 28 & & 8 & & \
\hline 5 & 33 & & 4 & & \
\hline
\end{array}$$

Accepted Answer

@#IMG-DLM& Average w

Question 5

________ is a risk analysis and forecasting program that uses Monte Carlo simulation.

Accepted Answer

The answer of ________ is a risk analysis and forecasting...

Question 6

The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
 $$\begin{array}{l}
\begin{array} { c c }
&\text { Relative }\ 
\text { Minutes } & \text { Frequency } \
\hline 3 & 0.22 \
4 & 0.36 \
5 & 0.28 \
6 & 0.10 \
7 & 0.04
\end{array}
\end{array}$$
-Determine the drying time for these 5 random numbers: 0.13, 0.09, 0.19, 0.81, and 0.12.

Accepted Answer

The answer of The drying rate in an industrial process...

Question 7

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 10-minute intervals, the following probability distribution and random number assignments developed.
 $$\begin{array} { | c | c | c | } 
\hline \begin{array} { c } 
\text { Number of } \
\text { Arrivals }
\end{array} & \text { Probability } & \begin{array} { c } 
\text { Random } \
\text { numbers }
\end{array} \
\hline 6 & .1 & .01 - .10 \
\hline 7 & .3 & .11 - .40 \
\hline 8 & .3 & .41 - .70 \
\hline 9 & .2 & .71 - .90 \
\hline 10 & .1 & .91 - .00 \
\hline
\end{array}$$
-Suppose the next three random numbers were .08, .50 and .69. How many customers would have arrived during this 30-minute period?

Accepted Answer

A)  22 
B)  23 
C)  24 
D)  25 
A)  22 
B)  23 
C)  24 
D)  25

Question 8

It's often difficult to validate that the results of a simulation truly replicate reality.

Accepted Answer

A) True 
 B)False

Question 9

A graduate research assistant "moonlights" at the short order counter in the student union snack bar in the evenings. He is considering asking for help taking orders, but needs to convince the management that they should hire another student. Because he is taking a simulation class, he thinks it may be the perfect way to convince management to hire more help if he can show that customers have to wait a long time. When a customer arrives, he takes their order and their payment, prepares the food, gives it to the customer, and then takes the order from the next person in line. If someone arrives while he's cooking an order, they have to wait until he's completed the current order. He has simulated 5 orders.

$$\begin{array} { | c | c | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Customer } \
\text { Number }
\end{array} & \begin{array} { c } 
\text { Time of } \
\text { Arrival }
\end{array} & \begin{array} { c } 
\text { Time } \
\text { Order } \
\text { Taken }
\end{array} & \begin{array} { c } 
\text { Order } \
\text { Prep } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Customer } \
\text { Receives } \
\text { Food }
\end{array} & \begin{array} { c } 
\text { Customer } \
\text { Wait } \
\text { Time }
\end{array} \
\hline 1 & 2 & 2 & 4 & 6 & 0 \
\hline 2 & 14 & 14 & 7 & & \
\hline 3 & 19 & & 6 & & \
\hline 4 & 28 & & 8 & & \
\hline 5 & 33 & & 4 & & \
\hline
\end{array}$$
-Average utilization is:

Accepted Answer

A)  67% 
B)  72.5% 
C)  83.4% 
D)  95% 
A)  67% 
B)  72.5% 
C)  83.4% 
D)  95%

Question 10

The drying rate in an industrial process is dependent on many factors and varies according to the following distribution. $$\begin{array}{l}
\begin{array} { c c } 
&\text { Relative }\
\text { Minutes } & \text { Frequency } \
\hline 13 & 0.22 \
14 & 0.36 \
15 & 0.28 \
16 & 0.10 \
17 & 0.04
\end{array}
\end{array}$$ 
What is the average drying time if you simulate 10 trials using these random numbers:
0.13, 0.09, 0.19, 0.81, 0.12, 0.53, 0.95, 0.97, 0.96, and 0.07.

Accepted Answer

The answer of The drying rate in an industrial process...

Question 11

Integrating a function from zero to any value of a random variable x is an important step in determining the cumulative probability of that value of x.

Accepted Answer

A) True 
 B)False

Question 12

Simulations should always be started with an empty system.

Accepted Answer

A) True 
 B)False

Question 13

What is the 95% confidence interval width for a sample with a mean of 50 and a standard deviation of 14 based on 75 observations?

Accepted Answer

A)  (44.13, 55.87) 
B)  (46.83, 53.17) 
C)  (40.67, 59.32) 
D)  (48.22, 51.78) 
A)  (44.13, 55.87) 
B)  (46.83, 53.17) 
C)  (40.67, 59.32) 
D)  (48.22, 51.78)

Question 14

When using Excel to simulate a system, it is necessary to compute only the probability (relative frequency) distribution.

Accepted Answer

A) True 
 B)False

Question 15

A table of random numbers must be normally distributed and efficiently generated.

Accepted Answer

A) True 
 B)False

Question 16

________ are numbers equally likely to be chosen from a large population of numbers.

Accepted Answer

The answer of ________ are numbers equally likely to be...

Question 17

Developing the cumulative probability distribution helps to determine

Accepted Answer

A)  simulation numbers. 
B)  data sets. 
C)  random number ranges. 
D)  mean of the distribution. 
A)  simulation numbers. 
B)  data sets. 
C)  random number ranges. 
D)  mean of the distribution.

Question 18

A random number table features numbers that are derived from a(n) ________ process.

Accepted Answer

The answer of A random number table features numbers that...

Question 19

Assume that order prep time is based on the following distribution:
 $$\begin{array} { | c | c | } 
\hline \text { Prep Time } & \text { Probability } \
\hline 3 & .10 \
\hline 4 & .20 \
\hline 5 & .25 \
\hline 6 & .20 \
\hline 7 & .15 \
\hline 8 & .10 \
\hline
\end{array}$$ 
Complete the following table given that the random numbers for order prep time for customers 3, 4, and 5 are 62, 93, and 26, respectively.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Arrival } \
\text { Number }
\end{array} & \begin{array} { c } 
\text { Time of } \
\text { Arrival }
\end{array} & \begin{array} { c } 
\text { Time } \
\text { Order } \
\text { Taken }
\end{array} & \begin{array} { c } 
\text { Order } \
\text { Prep } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Customer } \
\text { Receives } \
\text { Food }
\end{array} & \begin{array} { c } 
\text { Customer } \
\text { Wait } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Cook } \
\text { "Idle" } \
\text { Time }
\end{array} \
\hline 1 & 1 & 1 & 4 & 5 & 0 & 1 \
\hline 2 & 5 & 5 & 7 & 12 & 0 & 0 \
\hline 3 & 7 & & & & & \
\hline 4 & 10 & & & & & \
\hline 5 & 18 & & & & & \
\hline
\end{array}$$ 
What is the average customer waiting time and the graduate student's utilization?

Accepted Answer

@#IMG-DLM& Average wait time =

Question 20

Use the information and random numbers given in the table below to simulate the sale of newspapers for 10 days.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline \text { Day } & \text { Demand } & \begin{array} { c } 
\text { Random } \
\text { Number }
\end{array} & \begin{array} { c } 
\text { Quantity } \
\text { Ordered }
\end{array} & \text { Sales } & \begin{array} { c } 
\text { Unsatisfied } \
\text { Demand }
\end{array} & \begin{array} { c } 
\text { Unsold } \
\text { Papers }
\end{array} \
\hline 1 & & .78 & 18 & & & \
\hline 2 & & .43 & & & & \
\hline 3 & & .93 & & & & \
\hline 4 & & .87 & & & & \
\hline 5 & & .48 & & & & \
\hline 6 & & .84 & & & & \
\hline 7 & & .87 & & & & \
\hline 8 & & .27 & & & & \
\hline 9 & & .20 & & & & \
\hline 10 & & .52 & & & & \
\hline
\end{array}$$ 
After completing the simulation, determine his total revenue for the ten days as well as monetary losses that result from unmet demand and unsold papers.

Accepted Answer

The answer of Use the information and random numbers given...

Random numbers are typically generated on the computer using a numerical technique.

The ________ command is used in generating the random numbers with Excel.

Simulation results will always equal analytical results if 30 trials of the simulation have been conducted.

________ is a risk analysis and forecasting program that uses Monte Carlo simulation.

The drying rate in an industrial process is dependent on many factors and varies according to the following distribution. Relative Minutes Frequency 3 0.22 4 0.36 5 0.28 6 0.10 7 0.04 -Determine the drying time for these 5 random numbers: 0.13, 0.09, 0.19, 0.81, and 0.12.

It's often difficult to validate that the results of a simulation truly replicate reality.

Integrating a function from zero to any value of a random variable x is an important step in determining the cumulative probability of that value of x.

Simulations should always be started with an empty system.

What is the 95% confidence interval width for a sample with a mean of 50 and a standard deviation of 14 based on 75 observations?

When using Excel to simulate a system, it is necessary to compute only the probability (relative frequency) distribution.

A table of random numbers must be normally distributed and efficiently generated.

________ are numbers equally likely to be chosen from a large population of numbers.

Developing the cumulative probability distribution helps to determine

A random number table features numbers that are derived from a(n) ________ process.

Management Science

Linear Programming: Model Formulation and Graphical Solution

Linear Programming: Computer Solution and Sensitivity Analysis

Linear Programming: Modeling Examples

Integer Programming

Transportation, Transshipment, and Assignment Problems

Network Flow Models

Project Management

Multicriteria Decision Making

Nonlinear Programming

Probability and Statistics

Decision Analysis

Queuing Analysis

Forecasting

Inventory Management

the Simplex Solution Method

Transportation and Assignment Solution Methods

Integer Programming: the Branch and Bound Method

Nonlinear Programming: Solution Techniques

Game Theory

Markov Analysis

Filters

Exam 14: Simulation

Random numbers are typically generated on the computer using a numerical technique.

The ________ command is used in generating the random numbers with Excel.

Simulation results will always equal analytical results if 30 trials of the simulation have been conducted.

________ is a risk analysis and forecasting program that uses Monte Carlo simulation.

The drying rate in an industrial process is dependent on many factors and varies according to the following distribution. Relative Minutes Frequency 3 0.22 4 0.36 5 0.28 6 0.10 7 0.04 -Determine the drying time for these 5 random numbers: 0.13, 0.09, 0.19, 0.81, and 0.12.

It's often difficult to validate that the results of a simulation truly replicate reality.

Integrating a function from zero to any value of a random variable x is an important step in determining the cumulative probability of that value of x.

Simulations should always be started with an empty system.

What is the 95% confidence interval width for a sample with a mean of 50 and a standard deviation of 14 based on 75 observations?

When using Excel to simulate a system, it is necessary to compute only the probability (relative frequency) distribution.

A table of random numbers must be normally distributed and efficiently generated.

________ are numbers equally likely to be chosen from a large population of numbers.

Developing the cumulative probability distribution helps to determine

A random number table features numbers that are derived from a(n) ________ process.

Management Science

Linear Programming: Model Formulation and Graphical Solution

Linear Programming: Computer Solution and Sensitivity Analysis

Linear Programming: Modeling Examples

Integer Programming

Transportation, Transshipment, and Assignment Problems

Network Flow Models

Project Management

Multicriteria Decision Making

Nonlinear Programming

Probability and Statistics

Decision Analysis

Queuing Analysis

Forecasting

Inventory Management

the Simplex Solution Method

Transportation and Assignment Solution Methods

Integer Programming: the Branch and Bound Method

Nonlinear Programming: Solution Techniques

Game Theory

Markov Analysis

Filters