## (solution) MM305 UNIT 9 PROJECT Name: Directions: The following software may

Assignment is attached. Unit 9 Project

Name:

Directions:

• The following software may be used:
• Excel->Data Analysis
• Excel QM
• QM for Windows (PC only)
• Please make sure to insert your answers, including any charts, graphs, or output, on this document.  You may be required to also upload original files from Excel or QM for Windows.
• The calculations are not your final answer.  A summary/explanation in your own word for each question posed should be included.
• Question 8, 9 and 10 use the States Data File to run some calculations.  Resulting output is already provided for you.  You do NOT need to run any calculations on the States Data File.
•  Be sure to put your name on this document and save it to your computer. Upload this Word document as your Unit 7 submission in the course Drop Box.

1. Allen Machines specializes in developing weed-harvesting equipment that is used to clear small lakes of weeds.  Allen Machines is contemplating the construction of a machine that would harvest weeds on narrow rivers and waterways.  The activities and time in weeks necessary to build one of these experimental machines are shown in the table below.

 Activity Immediate Predecessors Time in Weeks A none 4 B A 3 C B 2 D A 4 E A 2 F E 2 G B, C 2 H D,F 1
What is the minimum possible time required for completing the project?  What is the latest possible time that Activity E may be started without delaying the completion of the project?  What is the latest finish time for Activity H?  What is/are the critical path(s)?   What is your recommendation to the president based on expected value that maximizes profits (EMV).Provide a second recommendation to the president that minimizes regret. Use a smoothing constant of ? = 0.6.

Explanation (include software output):

Analysis of the forecasting errors indicates which forecasting constant is best in this situation?

Explanation:

6. Johnson Construction Company is in the process of installing power lines to a large housing development. The company wants to minimize the total length of wire used, which would minimize the company?s cost. The housing development is shown below.  Each house has been numbered, and the distances between houses are given in hundreds of feet.

Explanation: We want to create the minimum spanning tree (MST) for this network since all houses need to be connected.  You can use QM for Windows to do this.

• What do you recommend to Johnson Construction Company?

Explanation (including software output):

7. The storm drains in the Cedar Rapids, Iowa, have been upgraded following the devastating floods of 2008. The network of storm drains and the capacities are shown below. Determine the maximum flow (in hundreds of gallons of water per minute) from node 1 to node 5. Remember that the arc has both capacity and reverse capacity.

Explanation: You can use QM for Windows?Networks?Maximal Flow with the above information.

 From Node To Node Fluid Flow 1 2 125 2 1 100 1 3 250 3 1 100 1 4 250 4 1 450 1 5 200 5 1 75 2 4 100 4 2 300 3 4 150 4 3 250 3 5 190 5 3 400 4 5 50 5 4 100

Which variable has the greatest relative variation?

What is the Null and the Alternative Hypotheses?What is your decision about the hypothesis based on the software output?Has there been a significant reduction in the national unemployment rate between January and February?

10. The Governor of a southern state has asked Kaplan Consulting to determine if the state were able to increase the percentage of its population with a Bachelor?s Degree to 45%, what might be the expected median household income based on 2000 data? Here is the output from the Regression procedure from Excel.

Make sure that you save a copy of your submitted project.

MM305 UNIT 9 PROJECT Name:

Directions: The following software may be used:

o Excel-&gt;Data Analysis

o Excel QM

o QM for Windows (PC only)

document. You may be required to also upload original files from Excel or QM for

Windows.

word for each question posed should be included.

Question 8, 9 and 10 use the States Data File to run some calculations. Resulting

output is already provided for you. You do NOT need to run any calculations on the

States Data File.

Be sure to put your name on this document and save it to your computer. Upload this

Word document as your Unit 7 submission in the course Drop Box. 1. Allen Machines specializes in developing weed-harvesting equipment that is used to clear

small lakes of weeds. Allen Machines is contemplating the construction of a machine that

would harvest weeds on narrow rivers and waterways. The activities and time in weeks

necessary to build one of these experimental machines are shown in the table below.

Activity

A

B

C

D

E

F

G

H Immediate Predecessors

none

A

B

A

A

E

B, C

D,F Time in Weeks

4

3

2

4

2

2

2

1 1. What is the minimum possible time required for completing the project?

2. What is the latest possible time that Activity E may be started without delaying the

completion of the project?

3. What is the latest finish time for Activity H?

4. What is/are the critical path(s)?

Explanation: (Please include Gantt Chart and/or Network Graph): 1 MM305 UNIT 9 PROJECT

2. The following is the activity and associated costs for the renovation of the local high school

football stadium. The times are in weeks.

Explanation: You can enter the above information into QM for Windows-&gt;Project

Management-&gt;Cost Budgeting. Activity

A

B

C

D

E

F

G

H Immediate Predecessor

A

B

B

C, D

C, D

E, F Time

8

4

6

2

3

7

5

1 Cost (\$)

20,000

12,000

15,000

15,000

10,000

50,000

35,000

1,000 1. What is the critical path and total time required for this project?

Explanation: (include Gantt Chart and/or Network Graph): 2. How much of the total (cumulative) budget would be spent in Week 8 (Period 8) with the

earliest start budget?

Answer: Explanation (include cost budgeting table): 2 MM305 UNIT 9 PROJECT

3. Precision Manufacturing has a government contract to produce stainless steel rods for use in

military aircrafts. Each rod is required to be 35 millimeters in diameter. Each hour, random

samples of size n = 5 rods are measured to check process control. Four hours of

observations yielded the following:

Explanation: You are looking at the control limits for the variable, average diameter. You can

use Excel QM or QM for Windows-&gt;Quality Control-&gt;x-bar and r-charts. Time

9 A.M.

10 A.M.

11 A.M.

Noon Rod 1

34.5

35.1

38.9

25 Rod 2

34.9

34.7

35

35.2 Diameter

Rod 3

37.9

33

37.9

32.1 Rod 4

36

35.4

38.3

38.1 Rod 5

35.9

34.9

36.5

35 1. Construct the xbar-chart and the R-chart.

Please include charts below: 2. Is the process in control? xbar chart UCL = R-chart UCL = xbar chart LCL = R-chart LCL = Explanation: 3 MM305 UNIT 9 PROJECT

4. Modern Electronics specializes in manufacturing modern electronic components. It also

builds the equipment that produces the components. Modern Electronics is considering

building a new facility but the estimated profits would be impacted by the type of market that

develops. The probability for a strong market is 0.3; for a fair market is 0.3; and for a poor

market is 0.4. You are responsible for advising the president of Modern Electronics on the

type facility that should be built or to not build a facility at all. The table shows the estimated

profits under each market and for each size facility.

Explanation: You can use QM for Windows-&gt;Decision Analysis-&gt;Decision Table with the above

information.

Strong Market Estimated Profits

Fair Market Poor Market Build a large facility 30,000 25,000 -20,000 Build a medium-size facility 27,500 25,000 -10,000 Build a small facility 15,000 12,500 -1000 Do not build a facility 0 0 0 1. What is your recommendation to the president based on expected value that maximizes

profits (EMV).

Explanation (include expected monetary value):

Software Output: 2. Provide a second recommendation to the president that minimizes regret.

Explanation (include expected monetary value):

Software Output: 4 MM305 UNIT 9 PROJECT

5. Consulting income at Kaplan Associates for the period February ? July is shown in the table

below. Assume that the initial forecast for February is \$90,000. Use Exponential

smoothing to forecast August?s income.

Explanation: You can use Excel QM?Forecasting?Exponential with the above information. Month

February

March

April

May

June

July Income (\$1,000)

90.0

88.5

74.8

91.7

91.3

92.8 1. Use a smoothing constant of ? = 0.1.

Answer: Explanation (include software output): 2. Use a smoothing constant of ? = 0.6.

Answer: Explanation (include software output): 3. Analysis of the forecasting errors indicates which forecasting constant is best in this

situation?

Answer: Explanation: 5 MM305 UNIT 9 PROJECT

6. Johnson Construction Company is in the process of installing power lines to a large housing

development. The company wants to minimize the total length of wire used, which would

minimize the company?s cost. The housing development is shown below. Each house has

been numbered, and the distances between houses are given in hundreds of feet.

Explanation: We want to create the minimum spanning tree (MST) for this network since all

houses need to be connected. You can use QM for Windows to do this. 1. What do you recommend to Johnson Construction Company?

Answer: Explanation (including software output): 6 MM305 UNIT 9 PROJECT

7. The storm drains in the Cedar Rapids, Iowa, have been upgraded following the devastating

floods of 2008. The network of storm drains and the capacities are shown below. Determine

the maximum flow (in hundreds of gallons of water per minute) from node 1 to node 5.

Remember that the arc has both capacity and reverse capacity.

Explanation: You can use QM for Windows?Networks?Maximal Flow with the above

information. From

Node

1

2

1

3

1

4

1

5

2

4

3

4

3

5

4

5 To Node Fluid Flow 2

1

3

1

4

1

5

1

4

2

4

3

5

3

5

4 125

100

250

100

250

450

200

75

100

300

150

250

190

400

50

Explanation (include software output): 7 MM305 UNIT 9 PROJECT

8. From the States Data Set the following output for College and for the Bachelors was

created. 1. Which variable has the greatest relative variation?

Answer: Explanation (including calculations): 8 MM305 UNIT 9 PROJECT

9. You are a consultant working for Kaplan Consulting. The U.S. Department of Labor has

requested assistance in evaluating the impact of economic stimulus on the unemployment

rate. From the States Data Set the following t test was conducted to answer the question:

?Has there been a significant reduction in the national unemployment rate between

January and March??

Output from PhStat2: Output from Excel-DataAnalysis: 1. What is the Null and the Alternative Hypotheses?

Ho:

Ha:

2. What is your level of alpha (?)? 3. What is your decision about the hypothesis based on the software output?

4. Has there been a significant reduction in the national unemployment rate between

January and February? 9 MM305 UNIT 9 PROJECT

10. The Governor of a southern state has asked Kaplan Consulting to determine if the state

were able to increase the percentage of its population with a Bachelor?s Degree to 45%, what

might be the expected median household income based on 2000 data? Here is the output from

the Regression procedure from Excel. 1. What would be the predicted median household income if the percentage of the

population in the state were 45% or 45?

Explanation (include all calculations): 10 MM305 UNIT 9 PROJECT Submitting Your Project Save your project in a location that you will remember and with your full name. When

you are ready to submit your project, click on the Dropbox and complete the steps below:

Click the link that says, ?Submit an Assignment.?

Make sure that you save a copy of your submitted project. 11

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Sep 13, 2020

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