Assignment:
Minfly Golf Company manufactures golf balls at Philadelphia, Chicago, and Denver. Cases of golf balls are shipped to warehouses in Orlando, Dallas, and Los Angeles. The following table provides the weekly capacities of the factories and the minimum weekly requirements of the warehouses along with the cost per case to ship between them. Which shipping plan will minimize total costs?
|
Factories
|
Orlando
|
Dallas
|
Los Angeles
|
Capacities
|
|
Philadelphia
|
6
|
9
|
16
|
2500
|
|
Chicago
|
7
|
5
|
10
|
1500
|
|
Denver
|
13
|
8
|
5
|
2000
|
|
Requirements
|
3000
|
1200
|
1800
|
|
After the #1 player on the tour started using Minfly balls, demand from the three warehouses has increased by 1,000 cases per week. To meet this increased demand, an additional factory needs to be built with a capacity of 3,000 cases per week. The two potential locations being considered are Memphis and San Francisco. The cost per case to ship between these locations and the warehouses are as follows:
|
Factories
|
Orlando
|
Dallas
|
Los Angeles
|
Capacities
|
|
Memphis
|
6
|
4
|
12
|
3000
|
|
San Francisco
|
13
|
8
|
5
|
3000
|
|
Requirements
|
4000
|
2200
|
2800
|
|
Where should the new factory be located?
Provide complete and step by step solution for the question and show calculations and use formulas.