Business Calculus

Q1 Answer A-I with steps

(A) Express the price p as a function of the demand x, and find the domain of this function. The price function is p = 200 - 0.025x. Determine the domain of this function. Select the correct choice below and fill in the answer box(es) within your choice. XA. X> O B. (D) Find the marginal revenue. The marginal revenue is 200 - 0.05;. (E) Find R'(1,500} and R'(4.500} and interpret these quantities. Find and interpret R'[1.500). Select the correct choice below and ll in the answer boxes within your choice. (Simplify your answers.) A1 a" B. c. 57* D. R'(1.500}= : at a production level of . revenue is decreasing at the rate of 3 per saw. R'(1.500}= ; at a revenue of 5 per saw. saw production is decreasing at the rate of per dollar. R'(1.500}= ; at a revenue of 5 per saw. saw production is increasing at the rate of per dollar. R'(1.500}= 125.00 ; at a production level of 1,500 . revenue is increas'ng at the rate of$ 125.00 per saw. Find and interpret 5214.500). Select the correct choice below and ll in the answer boxes within your choice. (Simplify your answers.) .. A. 53 B. R'(4.500) = : at a revenue of S per saw. saw production is increasing at the rate of per dollar. R'(4.500} = 25.00'; at a production level of 4500 . revenue is decreasing at the rate of 5 25.00' per sew. R'(4.500} = ; at a production level of . revenue is increasing at the rate of S per saw. R'(4.500} = : at a revenue of S per saw. saw production is decreasing at the rate of per dollar. (F) Graph the cost function and the revenue function on the same coordinate system for 0 sx 5 3,000. File the breakeven points, and indicate regions of loss and profit. Use light shading for regions of profit and dad: shading for regions of loss. Choose the correct gaph below. n. -:j_ n. JR; jj. [1. v Q r a v Q if Q 0. o. u. 0. Q Q Q Q )6 El, 1 L). X E X E'l u soon n 8000 o soon u soon Break-even points: Break-even points: Break-even points: Break-even points: {5?2.89,1063T3.66) and (29T2_89,3?3626_34) and (512.89, 1063?3.66) and (29?2.89,3T3626_34) and (50211137362634) (T427.11,106373.65) {50211137362634} (T4211 1,1063T3.66) (G) Find the prot function in terms of x. ' P(x) = - 0.0253:2 +1403: - 72.000 (H) Find the marginal prot The marginal prot is D. (I) Find P'(1.500) and P'{3.000) and interpret these quantities. Find and interpret P'(1.S00). Select the corred choice below and ml in the answer boxes within your choice. (Simplify your answers.) ":3? A. P'(1.500) = ; at a prot levei of 5 saw production is decreasing at the rate of saws per dollar. B. P'(1,500) = ; at a production level of saws, prot is decreasing at the rate of $ per saw. "'3' C- P'(1.500) = 65.00'; at a production level of 1,500' saws. profit is increasing at the rate of 5 65-00' per saw. - 0- P'(1.500) = ; at a prot level of S saw production is increasing at the rate of saws per dollar. Find and interpret P'(3.000). Select the correct choice below and ill in the answer boxes within your choice. (Simplify your answers.) \"'9?\" A. P'(3,000) = ; at a prot level of 5 saw production is increasing at the rate of saws per dollar. "13' 3- P'(3.000) = ; at a prot level of 5 saw production is decreasing at the rate of saws per dollar. cit c - P'(3.000) = 10.00 ; at a production level of 3.000 saws. prot is decreasing at the rate of S 10.00 per saw. ".7' 0' P'(3,000) = ; at a production level of saws, prot is increasing at the rate of 5 per saw. Let p= 22 -