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A car company produces 3 models, model A / B / C. Long-term projections indicate an...

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Advance Math

A car company produces 3 models, model A / B / C. Long-termprojections indicate an expected demand of at least 100 model Acars, 80 model B cars and 120 model C cars each day. Because oflimitations on production capacity, no more than 200 model A carsand 170 model B cars and 150 model C cars can be made daily. Tosatisfy a shipping contract, a total of at least 300 cars much beshipped each day. If each model A car sold results in a $1500 loss,but each model B car produces a $3800 profit, each model C carproduces a $2500 profit, how many of each type should be made dailyto maximize net profits?

Answer & Explanation Solved by verified expert
3.8 Ratings (440 Votes)
model Amodel Bmodel Cthe demand of at least 100 model A cars 80 model B cars and 120model C cars each dayno more than 200 model A cars and 170 model B cars and 150 modelC cars can be made dailya total of at least 300 cars much be shipped each dayeach model A car sold results in a 1500 loss but each model Bcar produces a 3800 profit each model C car produces a 2500profitso our objective function isour system issubject toAfter introducing slacksurplusartificialvariablessubject toIteration1Cj1500380025000000000MMMMBCBXBx1x2x3S1S2S3S4S5S6S7A1A2A3A4MinRatioXBx2A1M300111100000010003001300S2020010001000000000S30170010001000000001701170S4015000100010000000A2M10010000001000100A3M800100000010001080180A4M12000100000010001Z600MZj2M2M2MM000MMMMMMMZjCj2M15002M38002M2500M000MMM0000Negative minimum ZjCj    See Answer
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