The CarryItAll​ mini-van, a popular vehicle among soccer​ moms, obeys the demand equation ppequals=negative StartFraction 1 Over 40 EndFraction x plus 18 comma 000− 1 40x 18,000. The cost of producing xx vans is given by the function Upper C left parenthesis x right parenthesis equals 14200 x plus 10 comma 000.C(x)=14200x 10,000. ​a) Express the revenue Upper RR as a function of xx. ​b) Express the profit Upper PP as a function of xx. ​c) Find the value of xx that maximizes profit. What is the maximum​ profit