Question

Solve the following "marginal-revenue function" problem below

Answer 1

$65,139,000

Explanation:

Integration of the given function involves straightforward application of the power rule. It can also be done easily by a modern calculator.

`\displaystyle \int_(1000)^(1300){(190x-1370)}\,dx=95(1300^2-1000^2)-1370(1300-1000)\\\\=95(300)(2300)-1370(300)=300(95\cdot2300-1370)\\\\=65\,139\,000`

Revenue from the sale of those 300 tickets will be $65,139,000.