Truckco manufactures two types of trucks: 1 and 2.Each truck must go through the painting shop and assemblyshop. If the painting shop were completely devoted topainting Type 1 trucks, then 800 per day could be painted;if the painting shop were completely devoted to paintingType 2 trucks, then 700 per day could be painted. If theassembly shop were completely devoted to assembling truck1 engines, then 1,500 per day could be assembled; if theassembly shop were completely devoted to assembling truck2 engines, then 1,200 per day could be assembled. EachType 1 truck contributes $300 to profit; each Type 2 truckcontributes $500. Formulate an LP that will maximizeTruckco’s profit.