A maintenance building construction project also includes an external electrical generator and water tank. The first activity is to excavate which requires two weeks. Following excavation, the maintenance building will be built, and then both the generator and the water tank can be installed. These three activities, building, generator, and tank, require six, four, and two weeks, respectively. Once this set of three activities is completed, the tank and generator can be connected to the building, an activity that requires five weeks. After the maintenance. building is built, maintenance equipment can also be installed inside the building and this activity takes four weeks. Painting the maintenance building is also required, following its construction, and this takes three weeks. Finally, after the maintenance equipment is installed and the connection is completed, it will take two weeks to inspect the new maintenance facility. Suppose the costs of the activities are: Activity Excavate Construct Building Install Generator Install Tank Connect Install Maintenance. Paint Inspect Cost ($1000s) $50 $150 $120 $50 $40 $30 $30 $10 Suppose 5 weeks of the project have elapsed. The following work has occurred: Activity Percent Complete Actual Cost (1000s) Excavate 100% $60 Construct Building 50% $75 Install Generator Install Tank 75% 80% What is the current cost performance index and an assessment of performance? Note: Answers rounded to 2 significant digits. 0.89 and the project is behind with respect to budget. 0.96 and the project is ahead with respect to budget. 1.00 and the project is on budget. 1.04 and the project is ahead with respect to budget. 1.12 and the project is behind with respect to budget. $100 $50 None of the answers are correct.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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A Construction Project
A maintenance building construction project also includes an external electrical
generator and water tank. The first activity is to excavate which requires two weeks.
Following excavation, the maintenance building will be built, and then both the
generator and the water tank can be installed. These three activities, building,
generator, and tank, require six, four, and two weeks, respectively.
Once this set of three activities is completed, the tank and generator can be
connected to the building, an activity that requires five weeks. After the maintenance
building is built, maintenance equipment can also be installed inside the building and
this activity takes four weeks. Painting the maintenance building is also required,
following its construction, and this takes three weeks. Finally, after the maintenance
equipment is installed and the connection is completed, it will take two weeks to
inspect the new maintenance facility.
Suppose the costs of the activities are:
Activity
Excavate
Construct Building
Install Generator
Install Tank
Connect
Install Maintenance
Paint
Inspect
Cost ($1000s)
$50
$150
Install Generator
Install Tank
$120
$50
$40
$30
$30
$10
Suppose 5 weeks of the project have elapsed. The following work has occurred:
Activity
Percent Complete
Actual Cost (1000s)
Excavate
$60
Construct Building
$75
100%
50%
75%
80%
What is the current cost performance index and an assessment of performance?
Note: Answers rounded to 2 significant digits.
0.89 and the project is behind with respect to budget.
0.96 and the project is ahead with respect to budget.
1.00 and the project is on budget.
1.04 and the project is ahead with respect to budget.
1.12 and the project is behind with respect to budget.
$100
$50
None of the answers are correct.
Transcribed Image Text:A Construction Project A maintenance building construction project also includes an external electrical generator and water tank. The first activity is to excavate which requires two weeks. Following excavation, the maintenance building will be built, and then both the generator and the water tank can be installed. These three activities, building, generator, and tank, require six, four, and two weeks, respectively. Once this set of three activities is completed, the tank and generator can be connected to the building, an activity that requires five weeks. After the maintenance building is built, maintenance equipment can also be installed inside the building and this activity takes four weeks. Painting the maintenance building is also required, following its construction, and this takes three weeks. Finally, after the maintenance equipment is installed and the connection is completed, it will take two weeks to inspect the new maintenance facility. Suppose the costs of the activities are: Activity Excavate Construct Building Install Generator Install Tank Connect Install Maintenance Paint Inspect Cost ($1000s) $50 $150 Install Generator Install Tank $120 $50 $40 $30 $30 $10 Suppose 5 weeks of the project have elapsed. The following work has occurred: Activity Percent Complete Actual Cost (1000s) Excavate $60 Construct Building $75 100% 50% 75% 80% What is the current cost performance index and an assessment of performance? Note: Answers rounded to 2 significant digits. 0.89 and the project is behind with respect to budget. 0.96 and the project is ahead with respect to budget. 1.00 and the project is on budget. 1.04 and the project is ahead with respect to budget. 1.12 and the project is behind with respect to budget. $100 $50 None of the answers are correct.
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