The weekly demand for a copy machine is given by p 2000 0.04 x , where p denotes the copier's unit price (in dollars) and x denotes the quantity demanded. The weekly total cost function is given by C(x) 3 2 0.000002x 0.02x 1000x 120,000 where C(x) is the total cost incurred for producing x copy machines. a. Find the quantity resulting in the maximum weekly revenue and the maximum weekly revenue (Remember R(x) = px). Quantity of units: ________________ Max Revenue: ___________________________ b. Write the profit function. P(x) = __________________________________________________________ c. Find the quantity resulting in the maximum weekly profit and the maximum weekly profit. Round to the nearest whole number for quantity and to the nearest dollar for max profit. Quantity of units: ________________ Max Profit: _______________________________ d. Find the price the company should charge to realize maximum profit. (Price function given in paragraph!) Price (per unit): ____________________________