Consider the demand for tickets to see a specific hockey team play. The price of the ticket can be related to the quantity demanded (q) by the function: [math]. When the arena is not close to full capacity the total cost can be expressed by the function: [math].

Find marginal revenue (MR) as a function of quantity demanded.
[math]

Let [math] and [math] be the price and quantity demanded where profit is maximized.
[math]   [math]

The hockey players union has negotiated a deal requiring the team owner to pay an extra $1,000,000 a year in salaries to the players. What should the new ticket price ([math]) be to ensure that profit is maximized.
[math]