Can math make delivery pizza hotter and fresher?
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In the pizza business, it is critical to deliver the hottest, freshest food to each customer's doorstep. But doing so isn't a simple thing. There are many variables that go into getting delivery pizza right, including but not limited to:

  • • The number of drivers we have available.
  • • The state of traffic and how far the driver has to go.
  • • The number of orders waiting to be prepared.
  • • The time it takes to make, bake, and pack/cut the product. You can assume 3 minutes, 6 minutes, and 2 minutes, respectively.
  • • A 30 minute guarantee for delivery orders and 15 minute guarantee for carry out orders.

At peak business, like when 20 orders are placed between 6:00 p.m. and 6:15 p.m., being able to figure out the optimal time to start preparing each order is the difference between a successful shift and getting backlogged.

Deliverables

Provide an algorithm or calculation to figure out the optimal time to start preparing an order during peak business time. In addition to the algorithm or calculation, include the following:

  1. An explanation of the logical thought process behind your solution.
  2. If possible, a simulation model of your algorithm.
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