eof2034 is a company that supplies products to 3 industries.Each of the industries requires 300 products. eof2034 has twostorage facilities, storage facility 1 has 80 units available, andstorage facility 2 has 50 units available. The cost of shipping 1unit from the storage facilities to the industry are shown in thetable below:
ToFromIndustry 1 ($)Industry 2 ($)Industry 3 ($)Storage Facility 1101015Storage Facility 215830
There is a penalty for each unmet customer unit of demand: ForIndustry 1 is $50, Industry 2 is $60, and Industry 3 is $90.Formulate a balanced transportation problem to minimize the sum ofshortage and shipping costs.
1- Formulate the LP model
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