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 tth day. R'(t) = 130¹, R(0) = 0; C'(t) = 130-0.3t, C(0) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). = S₁ [R'() - C'(] di (Round to the nearest cent as needed.) P(T) = R(T)-C(T) = BEE The total profit is $

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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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 tth day.
R'(t) = 130e, R(0) = 0; C'(t) = 130-0.3t, C(0) = 0
HER
a) Find the total profit P(T) from t=0 to t=10 (the first 10 days).
T
P(T) = R(T)-C(T) = f [R'() - C'(] du
The total profit is $
(Round to the nearest cent as needed.)
Transcribed Image Text: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 tth day. R'(t) = 130e, R(0) = 0; C'(t) = 130-0.3t, C(0) = 0 HER a) Find the total profit P(T) from t=0 to t=10 (the first 10 days). T P(T) = R(T)-C(T) = f [R'() - C'(] du The total profit is $ (Round to the nearest cent as needed.)
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