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
|
6
|
|
B
|
none
|
5
|
|
C
|
A
|
3
|
|
D
|
A
|
2
|
|
E
|
B
|
4
|
|
F
|
B
|
6
|
|
G
|
C,E
|
10
|
|
H
|
D,F
|
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
|
Immediate Predecessor
|
Time
|
Cost ($)
|
|
A
|
-
|
4
|
25,000
|
|
B
|
-
|
5
|
30,000
|
|
C
|
A
|
3
|
15,000
|
|
D
|
B
|
8
|
50,000
|
|
E
|
B
|
2
|
12,000
|
|
F
|
C, D
|
3
|
15,000
|
|
G
|
C, D
|
7
|
46,000
|
|
H
|
E, F
|
2
|
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. 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?
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
|
To Node
|
Fluid Flow
|
|
1
|
2
|
250
|
|
2
|
1
|
100
|
|
1
|
3
|
100
|
|
3
|
1
|
150
|
|
1
|
4
|
400
|
|
4
|
1
|
400
|
|
1
|
5
|
150
|
|
5
|
1
|
200
|
|
2
|
4
|
300
|
|
4
|
2
|
200
|
|
3
|
4
|
250
|
|
4
|
3
|
300
|
|
3
|
5
|
300
|
|
5
|
3
|
250
|
|
4
|
5
|
300
|
|
5
|
4
|
0
|
8. From the States Data Setthe following output for the Income in 2000 and for the Income in 2010 was created.
1. Which variable has the greatest relative variation?
9. You are a consultant and the U.S. Department of Laborhas requested assistance in evaluating the impact of economic stimulus on the unemployment rate. From theStates Data Setthe following t test was conducted to answer the question:
"Has there been a significant reduction in the national unemployment rate between January and June?"
1. What is the Null and the Alternative Hypotheses?
2. What is your level of alpha (α)?
3. What is your conclusion?
4. What is your answer to the question?
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 50%, what might be the expected median household income based on 2010 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 50% or 50?
Attachment:- Unemployment Rates.xlsx