The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors.C(x)=2200 + 40xR(x)=800x-x²a) Determine the maximum profit of the company.b) Determine the number of items that must be produced and sold to obtain the maximum profit.