Math  /  Algebra

Question17. The promotion manager of a new band is deciding how much to charge for concert tickets. It was calculated that if tickets are $28\$ 28 each, then 220 people will come to the concert. For every $1\$ 1 increase in price, however, 10 fewer people come.
Complete the table to investigate the ticket price if the goal is to maximize the revenue. \begin{tabular}{|c|c|c|} \hline Ticket Price & Number of People & Total Money from Tickets (revenue) \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline$27\$ 27 & 230 & \\ \hline$28\$ 28 & 220 & $28×220=$6160\$ 28 \times 220=\$ 6160 \\ \hline$29\$ 29 & & \\ \hline \end{tabular}
Conclusion: The maximum revenue of $\$ \qquad occurs when the ticket price is $\$ \qquad .

Studdy Solution
Compare the revenues calculated for each ticket price.
The maximum revenue of \$6210 occurs when the ticket price is \$27.
Conclusion: The maximum revenue of \$6210 occurs when the ticket price is \$27.

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