If L works on the same workpiece both on Tuesday and on Thursday, which one of the following must be true about that ...

Andrew on April 27, 2021

Can you show how K works??

I've tried many situations with K on Wednesday but cannot seem to make it a valid placement. Can you show me how K can be on Wednesday? I get why J and M cannot be on Wednesday, but please show me how K can be with a full-drawn hypothetical. Thank yoiu.

Reply

Victoria on April 27, 2021

Hi @Andrew,

Wow that took far longer than I would like to admit! This is definitely a tough question, but I think I've finally figured out a scenario that works.

We know that the employees work a four-day workweek wherein they work on four workpieces. Each employee works on exactly one workpiece each day and, at the beginning of each workday, each employee must transfer their workpiece to a different employee, subject to the outlined limitations.

The question stem tells us that L works on the same workpiece on Tuesday and Thursday and we know that K must work on that piece on Wednesday. In the following scenario, this order remains true, and all other conditions are met.

1: K L K L
2: L M J K
3: M J L M
4: J K M J
M T W R

L works on Piece 1 on Tuesday and Thursday. K works on Piece 1 on Wednesday.

Each day, the workpieces are transferred between employees (i.e. no employee works on the same workpiece for two days in a row).

Day 2 Morning Transfers:

J --> K
K --> L
L --> M
M --> J

Day 3 Morning Transfers:

J --> L
K --> M
L --> K
M --> J

Day 4 Morning Transfers:

J --> K
K --> L
L --> M
M --> J

J transfers to K and L and never transfers to M.
K transfers to L and M and never transfers to J.
L transfers to M and K and never transfers to J.

Hope this helps! Please let us know if you have any further questions.