Thank you Truckco manufactures two type of trucks: 1 and 2. Each truck must go t

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Truckco manufactures two type of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 par day could be painted. If the assembly shop were completely devoted to assembly truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributed $300 to profit; each Type 2 truck contributes $500. Formulate an LP that will maximize Truckco's profit.

Explanation / Answer

We want to maximize the function Z=$300Y + $500X Where: Y=number of truck 1 produced X = number of truck 2 produced our constraints are: (1/800)Y + (1/700)X + s1 = 1 [Paint constraint] (1/1,500)Y +(1/1,200) + s2 = 1 [Assembly constraint] Where: s1,s2 are slack variables on the interval [0,1]

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