" Johnny is commercially making juice by combining apples, oranges, and pears..."
Hey there.
This is a real life problem I'm trying to solve. I've spent a couple of hours pondering it but I don't really know where to start. I know someone out there can probably whip through this problem, and I would really appreciate some help. I've tried really hard to articulate the problem, but if you have any questions or there's something I've left out, I'd be happy to clarify anything.
Problem
Johnny is commercially making juice by combining apples, oranges, and pears. At the start of today, Johnny has 1400 oranges, 800 apples, and 200 pears to prep for juicing, and needs them all to be finished being prepped at the same time.
Johnny has 25 workers in total
Team A has 13 workers and can prep oranges and apples but not pears
Team B has 7 workers and can prep apples and pears but not oranges
Team C has 5 workers and can only prep apples
Oranges take 1.5 times longer to prep than apples and pears take 1.2 times longer to prep than apples.
Workers can alternate working between fruits in their skillset without losing productivity eg. a Team A worker can prep orange, apple, orange, apple, orange, or just apples, or just oranges.
Not all workers in a team have to complete the same tasks eg. one Team A worker can be assigned to just prep oranges, one Team A worker can just assigned to just prep apples, and another Team A worker could alternate fruits in their skillset as explained above.
Solve to decide how Team A, B, and C should operate so that all oranges, apples, and pears are finished being prepped at the same time. Is it possible to solve in a way to where Johnny can make team assignment decisions based on how many oranges, apples, and pears need to be done at the beginning of the day?
Thanks in advance!
-Marc
Hey there.
This is a real life problem I'm trying to solve. I've spent a couple of hours pondering it but I don't really know where to start. I know someone out there can probably whip through this problem, and I would really appreciate some help. I've tried really hard to articulate the problem, but if you have any questions or there's something I've left out, I'd be happy to clarify anything.
Problem
Johnny is commercially making juice by combining apples, oranges, and pears. At the start of today, Johnny has 1400 oranges, 800 apples, and 200 pears to prep for juicing, and needs them all to be finished being prepped at the same time.
Johnny has 25 workers in total
Team A has 13 workers and can prep oranges and apples but not pears
Team B has 7 workers and can prep apples and pears but not oranges
Team C has 5 workers and can only prep apples
Oranges take 1.5 times longer to prep than apples and pears take 1.2 times longer to prep than apples.
Workers can alternate working between fruits in their skillset without losing productivity eg. a Team A worker can prep orange, apple, orange, apple, orange, or just apples, or just oranges.
Not all workers in a team have to complete the same tasks eg. one Team A worker can be assigned to just prep oranges, one Team A worker can just assigned to just prep apples, and another Team A worker could alternate fruits in their skillset as explained above.
Solve to decide how Team A, B, and C should operate so that all oranges, apples, and pears are finished being prepped at the same time. Is it possible to solve in a way to where Johnny can make team assignment decisions based on how many oranges, apples, and pears need to be done at the beginning of the day?
Thanks in advance!
-Marc