answer ALL the parts to the question, make sure to take your time on each of them.

The price-demand equation and the cost function for the production of table saws are given, respectively, by x = 8,000 40p and cm = 98,000 + 60x, where x is the number of saws that can be sold at a price of ip per saw and C(x) is the total cost (in dollars) of producing x saws. Complete parts (A) through (H) below. (A) Express the price p as a function of the demand x. The price function is p = (B) Find the marginal cost. The marginal cost is (C) Find the revenue function. The revenue function is R(x) = (D) Find the marginal revenue. The marginal revenue is (E) Find R'(2,100) and R'(4,500) and interpret these quantities. Find and interpret R'(2,100). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) "1:." A- R't2,100) = ; at a revenue of $ per saw, saw production is increasing at the rate of per dollar. 1:" 3- R't2.100)= ; at a production level of , revenue is increasing at the rate of$ per saw. C" C- R't2.100) = ; at a production level of , revenue is decreasing at the rate of$ per saw. C" 0- R't2.100) = ; at a revenue of $ per saw, saw production is decreasing at the rate of per dollar. Find and interpret R'(4,5DO). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) C" A- R't4.500) = ; at a revenue of $ per saw. saw production is increasing at the rate of per dollar. "3:" 3- R't4.500) = ; at a revenue of $ per saw. saw production is decreasing at the rate of per dollar. "1:." C- R'(4,500)= ; at a production level of , revenue is increasing at the rate of $ per saw. C" 0- R't4.500)= ; at a production level of , revenue is decreasing at the rate of $ per saw. (F) Find the prot function in terms of x. P(x) = (G) Find the marginal prot. The marginal prot is (H) Find P'(2,100) and P'(4,200) and interpret these quantities. Find and interpret F'(2,1DO). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) '3' A- P'(2,100}= ; at a production level of saws, prot is decreasing at the rate of $ per saw. '3' 3- P'(2,100}= ; at a production level of saws, prot is increasing at the rate of $ per saw. '3' 3- P'(2,100}= ; at a profit level of 5 saw production is decreasing at the rate of saws per dollar. '3' 0- P'(2,100}= ; at a profit level of 5 saw production is increasing at the rate of saws per dollar. Find and interpret F'(4,200). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) [3' A- P'(4,200} = ; at a production level of saws, prot is increasing at the rate of $ per saw. [3' 3- P'(4,200} = ; at a profit level of 5 saw production is increasing at the rate of saws per dollar. [3' 3- P'(4,200} = ; at a production level of saws, prot is decreasing at the rate of $ per saw. [3' 0- P'(4,200} = ; at a profit level of 5 saw production is decreasing at the rate of saws per dollar