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Requirements

  • The shop can gift-wrap cakes in fancy boxes. Fancy boxes have a lead time of 3 days. Boxes can arrive while the friends are working on the cake,
  • The shop can decorate cakes with nuts. Unfortunately, Sandro is allergic to nuts, so Marco does this job. Decorating a cake with nuts takes 1 extra day, and has to happen after any frosting has finished.
  • The shop closes for Christmas from the 23rd of December and is open again on the 2nd of January. Cakes that would be complete in that period will be unable to start production until re-opening. Fancy boxes will continue to arrive throughout the festive period.

Examples

Fancy boxes have a lead time of 3 days. Boxes can be ordered from the supplier before cakes are finished.

  • An order for a small cake with a fancy box, placed on Monday morning, has a delivery date of Wednesday
    • Marco bakes the cake Monday and Tuesday
    • The box arrives Wednesday
  • An order for a big cake with a fancy box, placed on Monday morning, has a delivery date of Wednesday
    • Marco bakes the cake Monday through Wednesday
    • The box arrives Wednesday
  • An order for a big cake with a fancy box, placed on Monday afternoon, has a delivery date of Thursday
    • Marco bakes the cake Tuesday through Thursday
    • The box arrives Wednesday

Sandro is allergic to nuts. Decorating a cake with nuts takes 1 day. Nuts can only be added after frosting. Nobody wants frosty nuts.

  • An order for a small cake with nuts placed on Monday morning has a delivery date of Wednesday
    • Marco bakes the cake Monday-Tuesday.
    • Marco adds nuts on Wednesday.
  • An order for a small cake with frosting placed on Monday morning has a delivery date of Friday
    • Marco bakes the cake Monday-Tuesday.
    • Sandro frosts the cake Wednesday-Thursday
    • Marco adds nuts on Friday
  • An order for a small cake with frosting, in a fancy box, placed on Tuesday morning, has a delivery date of Monday
    • Marco bakes the cake Tuesday-Wednesday.
    • Sandro frosts the cake Thursday-Friday
    • The box arrives on Friday
    • Marco adds nuts on Monday

The shop closes for Christmas from the 23rd of December and is open again on the 2nd of January. Cakes that would be complete in that period will be unable to start production until re-opening. NOBODY LIKES STALE CAKE.

  • A small cake ordered on the 22nd of December has a delivery date of 3rd Jan
    • Marco bakes the cake 2nd and 3rd of Jan
  • A small cake ordered on 22nd December 2021 has a delivery date of 4th of Jan
    • The shop ordinarily opens on the 2nd of January, but that's a Sunday, so Marco doesn't start the cake until Monday 3rd
  • A small cake ordered on the morning of the 21st of December has a delivery date of 22nd December

Fancy boxes will continue to arrive throughout the festive period.

  • A small cake with fancy box, ordered on the 22nd of December, has a delivery date of 3rd Jan
    • Marco comes back from holiday on the 2nd of January and bakes the cake
    • The box arrives on the 25th of December
  • A small cake with a fancy box, ordered on the 21st of December has a delivery date of 3rd January
    • Marco could bake the cake on the 21st and 22nd, but the box won't arrive until the 23rd
    • Instead, Marco waits until the 2nd of January before starting the cake