FIBA manufactures two types of trucks: 1 and 2. Each truck must go through thepainting shop and assembly shop. If the painting shop were completely devoted to painting Type 1trucks, 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 the assembly shop were completely devotedto assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop werecompletely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. EachType 1 truck contributes$300to profit; each Type 2 truck contributes$500. Formulate the aboveas a linear optimization problem.