Show all your work A small company manufactures and sells bicycles. The production manager has determined that the cost and demand functions of q (bicycles per week) are: and ( = () = 90 where p is price a) Find the maximum weekly revenue ( remember R(q)=qp or bicycles times price) b) Find the maximum weekly profit (remember profit is revenue minus cost) c) Find the price the company should charge to realize maximum profit. (Note: You can not produce a negative number of bicycles)