e personal computers. The CPU's are manufactured in Seattle, lumbus, and New York and shipped to warehouses in Pittsburgh, bile, Denver, Los Angeles, and Washington DC., for further distribution. e following table shows the number of CPU available at each plant, the mber of CPU's required by each warehouse, and shipping cost in lars (dollars per unit). Warehouse Mebile Moghinaten Dlont Nittehurah Depuer CDU'S

Cornerstones of Cost Management (Cornerstones Series)
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Chapter3: Cost Behavior
Section: Chapter Questions
Problem 14E: Vargas, Inc., produces industrial machinery. Vargas has a machining department and a group of direct...
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Armoff Enterprises manufactures central processing units (CPU) for a
line personal computers. The CPU's are manufactured in Seattle,
Columbus, and New York and shipped to warehouses in Pittsburgh,
Mobile, Denver, Los Angeles, and Washington D., for further distribution.
The following table shows the number of CPU available at each plant, the
number of CPU's required by each warehouse, and shipping cost in
dollars (dollars per unit).
Warehouse
Plant
Pittsburgh
Mobile
Denver Los Angeles Washington
CPU's
available
Seattle
10
20
9
10
9000
Çolombus
10
8
30
6
4000
New York
1
20
7
10
4
8000
21000
CPU's
required
3000
5000
4000
6000
3000
a. Develop a network representation of this problem.
b. Determine the amount that should be shipped from each plant to each warehouse to
minimize the total shipping cost.
c. The Pittsburgh warehouse just increased its order by 1000 units, and Amoff authorized the
Columbus plant to increase its production by 1000 units. Will this production increase lead to
an increase or decrease in total shipping costs? Solve for the new optimal solution.
Transcribed Image Text:Armoff Enterprises manufactures central processing units (CPU) for a line personal computers. The CPU's are manufactured in Seattle, Columbus, and New York and shipped to warehouses in Pittsburgh, Mobile, Denver, Los Angeles, and Washington D., for further distribution. The following table shows the number of CPU available at each plant, the number of CPU's required by each warehouse, and shipping cost in dollars (dollars per unit). Warehouse Plant Pittsburgh Mobile Denver Los Angeles Washington CPU's available Seattle 10 20 9 10 9000 Çolombus 10 8 30 6 4000 New York 1 20 7 10 4 8000 21000 CPU's required 3000 5000 4000 6000 3000 a. Develop a network representation of this problem. b. Determine the amount that should be shipped from each plant to each warehouse to minimize the total shipping cost. c. The Pittsburgh warehouse just increased its order by 1000 units, and Amoff authorized the Columbus plant to increase its production by 1000 units. Will this production increase lead to an increase or decrease in total shipping costs? Solve for the new optimal solution.
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