Solved: How many tickets will be sold at profit-maximizing price, Microeconomics

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How many tickets will be sold at profit-maximizing price

Question:

The demand curve for tickets at an amusement park is:

Q = D(p) = 1400 - 46p, p > 0

The marginal cost of serving a customer is $11.

Using calculus and formulas (but no tables or spreadsheets) to find a solution, how many tickets will be sold at the profit-maximizing price?

Round the equilibrium quantity DOWN to its integer part and round the equilibrium price to the nearest cent.

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