The demand (in thousands) for a product as a function of price p (in dollars) is given by d(p)=p22p+36 for 0p5, and d(p)=0 for p>5. It is estimated that the cost of making this product is $2. a) What is the size of the target market? b) For 0p5, identify the expression that represents the total profit ( p ) of selling this product? (i) p22p+36 (ii) (p1)(p22p+36) (iii) (p2)(p22p+36) (iv) 1000(p1)(p22p+36) (v) 1000(p2)(p22p+36) c) What is the optimal price for the product? d) What is the optimal profit