Question

Solve the following "marginal-revenue function" problem below

Answer 1

Answer:

  $65,139,000

Step-by-step 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.