In the heart of Coimbatore's Brookefields Mall, the popular 6-screen multiplex Swarna Cinemas was trying to tweak its ticket pricing strategy for a special Tamil film festival. Each screen has 300 seats, and historically, when a show is fully booked, the ticket price is ₹60. However, management observed a trend: for every ₹5 increase in ticket price, the number of tickets sold dropped by 10. They wanted to find the sweet spot that would maximize revenue per show.

During a brainstorming session, the assistant manager Murugan posed the question to a group of interns: "At what ticket price will our revenue from a single screen be maximum?" What should be the ideal ticket price, if the price can be increased only in the multiples of 5?

Note: Put the answer as an integer without any padded zeroes or decimal points. For example, if the answer is 100, then please put 100 as the answer and not 100.0 or 0100 or 00100.

Question

In the heart of Coimbatore's Brookefields Mall, the popular 6-screen multiplex Swarna Cinemas was trying to tweak its ticket pricing strategy for a special Tamil film festival. Each screen has 300 seats, and historically, when a show is fully booked, the ticket price is ₹60. However, management observed a trend: for every ₹5 increase in ticket price, the number of tickets sold dropped by 10. They wanted to find the sweet spot that would maximize revenue per show.

During a brainstorming session, the assistant manager Murugan posed the question to a group of interns: "At what ticket price will our revenue from a single screen be maximum?" What should be the ideal ticket price, if the price can be increased only in the multiples of 5?

Note: Put the answer as an integer without any padded zeroes or decimal points. For example, if the answer is 100, then please put 100 as the answer and not 100.0 or 0100 or 00100.

MasonWilliamTurner · Answer

To find the ideal ticket price that maximizes revenue for Swarna Cinemas, we will use a mathematical approach involving a quadratic function. ;

Answer (1)

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