[20 Points] The weekly demand for wireless mice manufactured by Insignia Consumer Electronic Products group is given by p(x) = -0.005x + 60, where p denotes the unit price in dollars and x denotes the quantity demanded. The weekly cost function associated with producing these wireless mice is given by C(x) = -0.001x~ + 18x + 4000 Where C(x) denotes the total cost in dollars incurred in pressing x wireless mice. (a) Find the production level that will yield a maximum revenue for the manufacturer. What will be maximum revenue? What price the company needs to charge at that level? (b) Find the production level that will yield a maximum profit for the manufacturer. What will be maximum profit? What price the company needs to charge at that level