The "Poage Inflatable Raft Company" manufactures inflatable rafts and finds the price function for the rafts to bep x( ) = - 1 50 x 150 where x represents the number of rafts produced and sold and p(x) is the price of the rafts. Furthermore, the fixed and variable costs to produce x rafts are $5600 and $65 per raft, respectively. a. What is the Profit function? b. How many rafts are needed to maximize the Profit? c. What is the maximum Profit