Homework 2 Please notice that all work must be shown in a professional way with attention to detail No credit will be given for incomplete or disorderly work Please use a cover letter stating your name, course number, date due, and homework number (if applicable) Unstapled homework will not be collected as this is part of the assignment (if applicable) All work must be individual with emphasis on numerical accuracy Late homework will incur into a 25% late penalty - after it is officially collected at the beginning of class 1. Problem One: Prats Design is a small design company that produces two lines of electronic devices, model A, and model B. After preliminary research, the marketing department expects the demand for model A to be at least 84 units per day. In contrast, the demand for model B is expected to be at least 54 units per day. In addition, due to limitations in the assembly line, the company cannot exceed 235 units for model A, and 130 for model B respectively. Because of an upcoming technology event, the company has a contractual obligation to send at least 315 units every day. If the sale of each model A yields a $77 profit, and the sale of each model B results in a $88 profit, how many units of each model should the company produce to maximize daily profits? (Hint: Please notice that the last constraint, le, the technology event, is a COMBINED constraint. Therefore, you need to include both coefficients of A and B). 2. Problem Two: Fiterman Furniture is a small company that produces two lines of smart desks, model A, and model B. After preliminary research, the marketing department expects the demand for model A to be at least 100 units per day. In contrast, the demand for model B is expected to be at least 39 units per day. In addition, due to limitations in the assembly line, the company cannot exceed 415 units for model A, and 295 for model B respectively. Because of an upcoming technology event, the company has a contractual obligation to send at least 350 units every day. If the sale of each model A yields a $254 profit, and the sale of each model B results in a $425 profit, how many units of each model should the company produce to maximize daily profits? (Hint: Please notice that the last constraint, i.e., the technology event, is a COMBINED constraint. Therefore, you need to include both coefficients of A and B)