First, a couple of caveats in order to maintain the spirit of the challenge:
- The $20 has to be food only, no drinks
- I removed all dessert items. Otherwise it would be pretty easy: order 20 orders of Cinnamon Twists and/or Cinnabon Delights
I used the weight of each item (in grams) as a proxy for its respective size (since we ultimately care about volume), and then aimed to minimize this within the constraint of spending at least $20. I used a Simplex Linear Program to do so, and found the following optimal order:
Data sources: Prices - Fast Food Menu Prices, Weights - Calorie Count
For contrast, choosing 20 Cinnabon Delights and/or Cinnamon Twists (both are the same price and weight) would be a clearly superior strategy:
But this is banned under my caveat. What if we make things a bit more interesting, and don't allow more than 1 of the same item?
This results in a 19% increase in weight, but adds a bit of variety to the order.
2.25 lb as well. http://www.sherisstoretodoor.com/product/ground-beef-and-pork-tray-80-lean20-fat-2-25lbs/ Save about $9 after tax and less toilet trouble bc of the clog.
ReplyDelete