SCM 314 Consider the following problem. Our factory is building three products: TV sets, stereos and speakers. Each product is assembled from parts in inventory, and there are five types of parts: chassis, picture tubes, speaker cones, power supplies and electronics units. Our goal is to produce the mix of products that will maximize profits, given the inventory of parts on hand. The profit per unit of TV set, stereos and speakers is $60, $50 and $50, respectively. The number of chassis, picture tubes, speaker cones, power supplies and electronics available in inventory are 450, 250, 800, 450 and 600 units, respectively. The parts required by each product is provided in the table below. For example, a TV set requires one each of chassis, picture tube, and power supply and two each of speaker cone and electronics. Based on the \"Spreadsheet model\" and \"Sensitivity\" reports provided below, answer the following questions. All answers have to be explained clearly. One word answers will not be sufficient. 1. What is the optimal profit and optimal product mix (number of TV sets, stereos and speakers)? Optimal Product Mix: 600 Speakers and zero TV-Set and Stereo Optimal objective function value $30,000 2. True or False (explain your answer): The total capacity of \"chassis\