A local sports bar routinely promotes sporting events, such as the Super Bowl, the NCAA Sweet Sixteen tournament, the BCS games, the Masters, NBA and NFL playoffs, NHL, baseball, NASCAR, and key curling bonspiels. By keeping records, the owner has determined that when the cover price is $15 the average number of patrons is 233. For every $1 change in cover charge, the number of patrons changes by 12. Assuming a linear demand curve, calculate the maximum reservation price for sporting events at this sports bar. Round your answer to the nearest dollar.

The correct answer is 34

Can you please explain how that is the correct answer? Thank you