1. Monthly sales of an SUV model are expected to increase at the rate of S' (t) = -24% SUVs per month, where t is the time in months and S (t) is the number of SUVs sold each month. a) If the monthly sales at time t = 0 are 1,200 SUVs, find S(t). (3 points) b) The company plans to stop manufacturing this model when the monthly sales reach 300 SUVs. Find the value of t when this occurs. Give you answer as a complete sentence.(2 points) c) Using the value of t found in part b), find S (t) and S' (t). Explain what each of these values represents in this problem. Be specific. (4 points) 2. A company incurs debt at a rate of D' (t) = 90 (t+6) Vt2 + 12t dollars per year, where t is the amount of time (in years) since the company began. By the fourth year the company has accumulated $16,260 in debt. a) Find the total debt function. (3 points) b) How many years must pass before the total debt exceeds $40,000? Give you answer as a complete sentence. This problem will require the quadratic formula to solve. (3 points) 3. The marginal cost for a company that manufactures mountain bikes is given by the function C'(x) = 500 where 0