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) = 2300 + 60x

R(x) = 820x - x2

a) Determine the maximum profit of the company.

The maximum profit of the company is $ 1170400

b) Determine the number of items that must be produced and sold to obtain the maximum profit.

The number of items that must be produced and sold to obtain the maximum profit is