A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is P = 38 + (2,700/D) - (5000/D2) for D>1 The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. a) What is the number of units that should be produced and sold each month to maximize profit? b) Show that your answer in (a) maximizes profit c) What are the break even points