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A company determines that its marginal revenue per day is given by R′(t)​, where R(t) is...

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)=130et​, R(0)=​0; C′(t)=130−0.8t​, 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)=∫T0R′(t)−C′(t) dt

The total profit is $___

​(Round to the nearest cent as​ needed.)

Math   Calculus   
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Answer #1

we have

and

now,

put T = 10,

The total profit for first 10 days is $ 2862050.55

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