Problem One: CDP 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 contractual constrain is a combined constraint, i$.$e$.,$ the coefficients of A$,$ and B should be one, respectively$).$