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 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.)

Answer #1

we have

and

now,

put T = 10,

**The total profit for first 10 days is $
2862050.55**

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