Question
Formal shirts are made in a fashion boutique in Chicago and sent to warehouses in three different cities - Albany NY, Omaha NE and San
Formal shirts are made in a fashion boutique in Chicago and sent to warehouses in three different cities - Albany NY, Omaha NE and San Francisco CA. These three warehouses supply three departmental stores, located in Manhattan NY, Miami FL and Los Angeles CA. Shorts are shipped to the warehouses in cartons. Each warehouse is able to the supply the following number of cartons to the departmental stores on a monthly basis, and each store requires the following:
Warehouse | Supply | Store | Demand | |
Albany, NY | 145 | Manhattan | 200 | |
Omaha, NE | 150 | Miami | 220 | |
SFO, CA | 250 | LA | 340 |
The cost of transporting one carton from each warehouse to each store differs according to the distance and transport system. These costs are shown in the following table.
Manhattan | Miami | Los Angeles | |
Albany, NY | 6.5 | 7.5 | 11 |
Omaha, NE | 8 | 12 | 8 |
San Francisco, CA | 5 | 3 | 9 |
The problem is to determine how many cartons of shirts should be transported from each warehouse to each store on a monthly basis in order to minimize the total cost of transportation.
a. Is this a balanced problem? [ Select ] ["", "No", "cannot determine based on the information given", "Yes"]
b. What is minimum transportation cost possible (optimal). [ Select ] ["$3,122.50", "$2,325.35", "$4,250.00", "$2,952.50", "$3,367.90"]
c. Which location did not have their demand requirements met? [ Select ] ["Manhattan", "Los Angeles", "Miami", "Miami and Los Angeles", "Los Angeles and Manhattan"]
d. If it is given that 135 cartons must be shipped from Omaha to Miami, what would be the new overall transportation cost? [ Select ] ["$4,156.20", "$3,357.50", "no change, same as the initial solution", "$4,202.50", "$3,650.75"]
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