A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested
in receiving this business, but none can handle more than one subcontract. The bids made by the companies for the various subcontracts are summarized in the following table. Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Bids by Companies (in $1000s) for Various Subcontract
Company
Component A B C D
1 185 225 193 207
2 200 190 175 225
3 330 320 315 300
4 375 389 425 445
What is an LP model that matches this?
another way to tell is to see if they are equivalent...because proportions are nothing but equivalent fractions. 12/30 = 2/5 18/45 = 2/5 so yes, they are proportional
