TruckCo manufactures two types 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 per day could be painted. If the assembly shop were completely devoted to assembling 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 contributes $300 to profit; each Type 2 truck contribute $500. Formulate an LP that will maximize Trucko's profit.