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 fth 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 fth day. R'(t)=140 e¹, R(0) = 0; C'(t)=140-0.7t, C(0) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)=R(T)-C(T) = - SOLR [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.)
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 fth 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 fth day. R'(t)=140 e¹, R(0) = 0; C'(t)=140-0.7t, C(0) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)=R(T)-C(T) = - SOLR [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.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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