A manufacturing company has two plants (plant A and plant B) and three stores (Store 1, Store 2, and Store 3). Plant A capacity is 80 units and Plant B capacity is 100 units. Store 1 demand is 60 units, Store 2 demand is 40, units and Store 3 demand is 70 units. Following are the transportation costs between each pair of locations
|
|
Store 1
|
Store 2
|
Store 3
|
|
Plan A
|
50
|
70
|
85
|
|
Plant B
|
93
|
88
|
65
|
a) Draw problem transportation network.
b) Build a linear program that minimizes transportation cost.
2. A retail store has 3 locations in the same city. The manager wants to close one of the locations base on its productivity. Table below summarize monthly productivity information for the stores.
|
|
Store 1
|
Store 2
|
Store 3
|
|
Sales [$]
|
1,250,000
|
750,000
|
650,000
|
|
Number of employees
|
25
|
12
|
10
|
|
Average Salary per employee [$]
|
2,000
|
1,800
|
2,200
|
|
Rent [$]
|
30,000
|
20,000
|
18,000
|
|
Electricity and Water
|
20,000
|
19,500
|
25,000
|
a) What facility needs to be closed based on labor productivity?
b) What facility needs to be closed based on total productivity?
1. 3. Information below shows the reasons employees have been late during last month. Build a Pareto chart with frequencies in one axis and cumulative frequencies in the other. Provide recommendations
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Cause For Late Coming
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Occurrences
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|
Road Traffic
|
8
|
|
Work till Late Night
|
70
|
|
Personal Commitments
|
88
|
|
Not Feeling Good
|
6
|
|
Late Public Transportation
|
4
|
|
Rain or Snow
|
23
|