(4). Suppose that an appliance maker determines that in order to sell q appliances, the price per appli- ance must be P = 280 - 0.4q The appliance maker has also determined the total cost to produce q appliances is C(q) = 5000 + 0.6q2 (a) What is the revenue function R(q)? (b) What is the profit function P(q)? (c) What is the maximum profit? (d) How many items must be produced and sold to yield the maximum profit? (e) What price per appliance must be charged to maximize profit