Science:Math Exam Resources/Courses/MATH104/December 2014/Question 04/Statement

You are planning a city tour for a group of 100 tourists. If you can sell $x$ bus tour tickets, you can offer them for $\$(30-x/4)$ each. If you can sell $y$ train tour tickets, you can offer them for $\$(70-y/2)$ each. How many bus tickets, and how many train tickets should you sell to the tourists in order to maximize revenue (you can only sell one type of ticket to each passenger).