Question

A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T) = R(T) - C(T) = [R' (t)-C'(t)] dt The total profit is $(Round to the nearest cent as needed.) b) Find the average daily profit for the first 10 days. The average daily profit is $(Round to the nearest cent as needed.)

Answer 1

given R CH = luoer, c'(H = 140 - 0.75 P(= Strict) T Total Protin c'ct ] dr 10 PCHE lo Peta lo luot ut 0 으 1400 to PCH - ） J (1400+ - (140–0.7+1] ar Į (luvet - luo+0.77) dt (lueet 0.74 140 (ene) - Ivo(10-0) 40.35610%*) 1401 elo-1) 0.35(100) 3,082, 200. 2 dialy profit ... Ex' CH – c'c+] dr to s[luet - (140-0.74] ++ (3,082,200. 00.2) 3,0 8,2 200 Anfver first (6) Average for lo days = 1o 2 E 1920 F2O tt Angver