Chapter 4.4, Problem 46E

Total and average daily profit. Great Green, Inc., determines that its marginal revenue per day is given by

$R\text{'}\left(t\right)=75et-2t,R\text{'}\left(t\right)=75e^t-2t,R\left(0\right)=0$,

Where $R\left(t\right)$ is the total accumulated revenue, in dollars, on the $t\text{th}$

day. The company’s marginal cost per day is given by

$$

$C\text{'}\left(t\right)=75-3t,C\left(0\right)=0$,

where $C\left(t\right)$ is the total accumulated cost, in dollars, on the $t\text{th}$

day

a. Find the total profit from $t=10\text{ to }t=10$

(see Exercise 45).

$\$1,\mathrm{651.209.93}$

b. Find the average daily profit for the first 10 days.

$\$165,120.99$