4. One Product Company (10 points) Suppose that the quantity sold of a product depends on the price that it charges for the product. Specifically, as its price gets higher its sales decrease according to the following Sales Response Curve with p = price: Quantity = 150 - p/40_This is valid for prices between 0 and $6000.) The variable cost for making the product is $1,000 per unit and its fixed costs are $10,000. (a) Give the algebraic expression for profit. Be sure to define your variables. (Handwrite answer, 5 points) (b) Using your algebraic model in part (a), what profit will the Company make if it sells at a price of $2000? (for practice only - don't hand in) (c) Using your algebraic model, what price should the company charge to maximize profit? What is the maximum profit? (for practice only - don't hand in) (d) Construct an Excel model to compute the profit when the price = $2000. Is this the same answer as in (b)? (Submit via Blackboard, 5 points)