1. Problem One: Tesla Motors produces three lines of electrically powered vehicles, Model 3, Model S, and Model X. The profits for each model are, $35,000, $85,000 and $90,000, respectively. The company expects the daily demand for each model to be 200, 125 and 176 units, respectively. Due to limitations in their manufacturing facility, the company cannot exceed 475 units for Model 3, 338 units for Model S, and 258 units for model X. Due to global demand, the company has a contractual obligation to send at least 168 units every day to emerging market customers. In addition, the marketing department has requested to avoid brand dilution by limiting total output to 1,400 units per day. Given your knowledge of Linear Programming, (a) how many units of each model should Tesla Motors produce to maximize daily profits? (b) Create a Sensitivity Report and state, both the Reduced Cost, and the Shadow Price, (c) interpret the significance of both, Reduced Cost and the Shadow Price, (d) suppose the company expects a new demand of at least 475 units for Model 3, how does that impact your optimal solution? (e) Suppose the company expects a new demand of at least 476 units for Model 3, how does that impact your optimal solution - does that impact your optimal solution