I am trying to determine a quadratic function to represent the following description.
A travel agenxy offers a group rate of $\$2400$ per person for a week in London if $16$ people sign up for the tour. For each additional person who signs up, the price per person is reduced $\$100$. How many people, in total, must sign up for the tour in order for the travel agency to maximize their revenue? Determine the maximum revenue.
I know to solve the number of people would be to find the axis of symmetry, then for the maximum revenue it would be simply plugging that value into the equation to determine the max revenue.
But how do I set up the quadratic equation??
and I know revenue is equal to (#sold)(cost)