Question: A manufacturing firm produces diesel engines in four cities Phoenix Seattle

A manufacturing firm produces diesel engines in four cities—Phoenix, Seattle, St. Louis, and Detroit. The company is able to produce the following numbers of engines per month:
Plant .. Production
1. Phoenix .. 5
2. Seattle ..... 25
3. St. Louis .. 20
4. Detroit ... 25
Three trucking firms purchase the following numbers of engines for their plants in three cities:
Firm ..... Demand
A. Greensboro ... 10
B. Charlotte .... 20
C. Louisville ... 15
The transportation costs per engine (in hundreds of dollars) from sources to destinations are shown in the following table. However, the Charlotte firm will not accept engines made in Seattle, and the Louisville firm will not accept engines from Detroit; therefore, those routes are prohibited:


Formulate this problem as a linear programming model and solve it by using thecomputer.


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  • CreatedJuly 17, 2014
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