MM305 Unit 9 Project Complete Solution
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1. Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gas station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of the station and a number of marketing factors related to oil industry and demand for gasoline. After careful analysis, Susan developed the following table:
Size of Gasoline Station | Good Market ($) | Fair Market ($) | Poor Market ($) |
Small | $70,000 | $30,000 | -$30,000 |
Medium | $110,000 | $50,000 | -$40,000 |
Large | $170,000 | $70,000 | -$50,000 |
2. Data collected on the yearly demand for 50-pound bags of fertilizer at Sunshine Garden Supply are shown in the following table.
Year | Demand for Fertilizer (1,000s of Bags) |
1 | 4 |
2 | 7 |
3 | 5 |
4 | 5 |
5 | 10 |
6 | 7 |
7 | 8 |
8 | 9 |
9 | 11 |
10 | 14 |
11 | 15 |
Use Excel QM to:
3. Kaplan College has decided to "wire" its campus. The first stage in this effort is to install the "backbone," i.e., to connect all the buildings. The table below gives the distances between the various buildings on campus in hundreds of feet.
Distances in Hundreds of Feet | ||||||
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| Building 1 | Building 2 | Building 3 | Building 4 | Building 5 | Building 6 |
Building 1 |
| 3 | 7 | 5 | 5 | 4 |
Building 2 |
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| 5 | 2 | 6 | 6 |
Building 3 |
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| 5 | 4 | 4 |
Building 4 |
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| 5 | 3 |
Building 5 |
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| 4 |
Building 6 |
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4. The following represents the distances in miles from a warehouse (node 1) to various cities in Montana. The major outlet store is located at node 7.
From Node | To Node | Distance |
1 | 2 | 40 |
1 | 4 | 100 |
2 | 3 | 20 |
2 | 4 | 30 |
3 | 4 | 60 |
3 | 5 | 40 |
3 | 6 | 20 |
4 | 5 | 70 |
4 | 7 | 50 |
5 | 6 | 50 |
5 | 7 | 80 |
6 | 7 | 40 |
5. The network of a city sewer system and their capacities are shown below. Remember that the arc has both capacity and reverse capacity. For example, row 1 is the flow from node 1 to node 2 and row 2 is the reverse flow from node 2 to node 1. There are eight branches in this network.
From Node | To Node | Fluid Flow |
1 | 2 | 150 |
2 | 1 | 100 |
1 | 3 | 0 |
3 | 1 | 150 |
1 | 4 | 300 |
4 | 1 | 300 |
1 | 5 | 150 |
5 | 1 | 100 |
2 | 4 | 300 |
4 | 2 | 200 |
3 | 4 | 250 |
4 | 3 | 300 |
3 | 5 | 300 |
5 | 3 | 250 |
4 | 5 | 100 |
5 | 4 | 0 |
Determine the maximum flow (in hundreds of gallons of water per minute) from node 1 to node 5
6. The governor of Michigan believes that the state can improve the state’s crime rate if the state can reduce the college debt carried by its citizens and if they can increase the percent of the population covered by health insurance.
7. A concessionaire for the local ballpark has developed a table of conditional values for the various alternatives (stocking decisions) and states of nature (size of crowd).
Stocking Decision | Large Crowd ($) | Average Crowd ($) | Small Crowd ($) |
Large Inventory | $22,000 | $12,000 | -$2,000 |
Average Inventory | $15,000 | $12,000 | $6,000 |
Small Inventory | $9,000 | $6,000 | $5,000 |
If the probabilities associated with the states of nature are 0.30 for a large crowd, 0.50 for an average crowd, and 0.20 for a small crowd, determine:
Submitting Your Project
MM305 Unit 9 Project Complete Solution
2. What is the latest possible time that Activity D may be started without delaying the completion of the project?
We could start Activity D at T=10 weeks, rather than the early start tome of t= 6weeks, and still complete the project without delay.
3. What is the...
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