Demand for Photocopying Machinees The weekly demand for the LectroCopy photocopying machine is given by the demand equation p-3000-0.06x (0x50,000) where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function for manufacturing these copiers is given by C(x) 0.000002x-0.02x+1000x + 120,000 where C(x) denotes the total cost incurred (in dollars) in producing x units. (a) Find the revenue function R, the profit function P, and the average cost function C. (Enter your answers in terms of x.) R(x) 3000x-0.06x2 P(x)- 2000x-0.04x-0.000002x-120000 c(x)= 0.000002x2 0.04x + 1000+ 120000 x (b) Find the merginal cost function C, the marginal revenue function R', the marginal profit function P, and the marginal average cost function C. (Enter your answers in terms of x.) cx) 0.000006x2 -0.04x+1000 8(x)- 3000-0.12x P'(x) = 2000 0.04x -0.000006x x 120000 C'(x) 0.000004x-0.04- = (c) Compute C'(1000), R'(1000), and P'(1000). C'(1000) = 966 R'(1000) = 2880 P'(1000) = 1954 (d) Compute C'(4000) and C'(7000). (Round your answers to four decimal places.) C'(4000) =-0.0315 C'(7000) = -0.0144489 Interpret your results