Suppose the monthly revenue function (in dollars) for selling q microwave ovens is given by the function R(q) = 0.03q2 + 1300q and that the monthly cost function, in dollars for producing q microwave ovens is given by 00;) = 0.0212 + 500:; + 210, 000 a) Find the monthly prot function, P(q}. b) How many microwave ovens must be produced and sold each month to maximize the monthly prot? Find the absolute maximum on the open interval q > 0. Include a sign chart with work shown forfull credit. d) What is the maximum monthly prot in dollars