(Solved): An Alberta-based NHL team is struggling to fill its seats. When the average t ...

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An Alberta-based NHL team is struggling to fill its seats. When the average ticket price is $$\$250$$, the team sells an average of 6000 tickets. However, when the average price is reduced to $$\$150$$, the team sells an average of 12000 tickets. The relation of sold tickets $$q(x)$$ as a function of their average price $$x$$ is assumed to be linear. Find the function $$q(x)$$. What should the average ticket price be in order to maximize revenue? Round your answer to two decimal places. (Hint: Use the revenue function $$R(x)=xq(x)$$ ) Function: $$q(x)=$$ Optimal Price: $$\$$$