Café Questions

Café Question #1 (Blog post here)

Due to the retirement of the Canadian penny, small businesses will now round purchases to the nearest 5 cents. However, Canadian businesses generally advertise prices before tax, making it incredibly difficult to put together a menu that ends in 0 or 5 without rounding so that pennies are not needed.

Today’s challenge is to put together a menu for the fictional OR Café (in Ontario, Canada) that rounds cleanly to a 0 or a 5 for the most transactions. Ontario sales tax is 13%. The current menu and a record of historical transactions are here. The only restriction is that current prices cannot be changed by more than 2 cents (up or down).

Please e-mail your solutions to orgblog@mie.utoronto.ca before March 18th, 2013 at 12 pm EST. Good solutions will receive an UTORG t-shirt! Feel free to make appropriate assumptions and/or simplifications if you think that they are in the spirit of the problem. If you have any questions, feel free to contact us.

Good luck!

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