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MM305 UNIT 9 PROJECT
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Directions:
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In this project you will be using the States Data file that is found in Doc Sharing under
the Instructor-Graded Projects:
Steps for accessing the States Data file:
1. Open your Excel with PhStat2
2. Click File—Open
3. Select the States Data file
Not all questions require the use of technology or the States Date file.
You may insert your answers, including any charts, graphs, or output, on this document.
Be sure to put your name on this document and save it to your computer.
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
none
A
A
B
B
C,E
D,F
Time in Weeks
6
5
3
2
4
6
10
7
1. What is the minimum possible time required for completing the project?
2. What is the latest possible time that Activity D may be started without delaying
the completion of the project?
3. What is the latest finish time for Activity F?
4. What is/are the critical path(s)?
2. The following is the activity and associated costs for the renovation of the local high school
football stadium. The times are in weeks.
Activity
A
B
C
D
E
Immediate Predecessor
A
B
B
Time
4
5
3
8
2
Cost ($)
25,000
30,000
15,000
50,000
12,000
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MM305 UNIT 9 PROJECT
F
G
H
C, D
C, D
E, F
3
7
2
15,000
46,000
20,000
1. What is the critical path for this project?
2. How much of the total budget would be spent in Week 8 (Period 8) with the
earliest start budget?
3. Precision Manufacturing has a government contract to produce stainless steel rods for use in
military aircraft. Each rod is required to be 20 millimeters in diameter. Each hour, random
samples of size n = 4 rods are measured to check process control. Five hours of
observations yielded the following:
Time
9 A.M.
10 A.M.
11 A.M.
Noon
1 P.M.
Rod 1
19.8
20.1
19.9
19.7
19.7
Diameter
Rod 2
Rod 3
20.4
19.9
20.2
19.9
20.5
20.3
19.8
20.3
20.1
19.9
Rod 4
20.3
19.8
20.1
20.2
19.9
1. Construct the xbar-chart and the R-chart.
2. Is the process in control?
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 0.5; and for a poor
market is 0.2. 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.
Build a large facility
Build a medium-size facility
Build a small facility
Do not build a facility
Strong Market
550,000
300,000
200,000
0
Estimated Profits
Fair Market
110,000
129,000
100,000
0
Poor Market
-310,000
-100,000
-32,000
0
1. Provide a recommendation to the president that maximizes profits
2. Provide a second recommendation to the president that minimizes regret.
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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 $65,000. Use Exponential
smoothing to forecast August’s income.
Month
February
March
April
May
June
July
Income ($1,000)
70.0
68.5
64.8
71.7
71.3
72.8
1. Use a smoothing constant of α = 0.2.
2. Use a smoothing constant of α = 0.5.
3. Which forecasting constant is best in this situation?
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.
1. What do you recommend to Johnson Construction Company?
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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.
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
250
100
100
150
400
400
150
200
300
200
250
300
300
250
300
0
8. From the States Data Set the following output for the Income in 2000 and for the Income in
2010 was created.
Income 2000
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Income 2010
41773.5
914.6546315
41404.5
#N/A
6467.584924
41829654.74
-0.660527439
0.097844527
25124
29411
54535
2088675
50
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
50007.02
1063.154673
48818.5
#N/A
7517.638789
56514892.96
-0.456890276
0.498203808
28722
37985
66707
2500351
50
1. Which variable has the greatest relative variation?
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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 June?”
t-Test: Paired Two Sample for Means
Jan Unemploy June Unemploy
Mean
7.05
6.824
Variance
2.709081633
2.538595918
Observations
50
50
Pearson Correlation
0.955329008
Hypothesized Mean Difference
0
df
49
t Stat
3.282157676
P(T