Chapter 14, Problem 38RE

Spending on Shipping During the past 10 months, OHaganBooks.com shipped orders at a rate of about

$q\left(t\right)=25t+3,200\text{ packages per month }\left(0\le t\le 10\right).$

(t is the time in months since the beginning of the year.) During the same period the cost of shipping a package averaged approximately

$p\left(t\right)=4e^{0.04t}\text{ dollars per package}\text{.}$

Use an integral to estimate, to the nearest thousand dollars, the total spent on shipping orders during the given period.