Question

How to solve the following problem?

You work with a team of 15 coworkers. Each of you works four hours a day, five days a week, during either the morning, afternoon, or evening shift. Your manager has left it up to the 15 of you to work out who will work which shift. No one really wants the evening shift. Right now, the six workers who are married are refusing to work the evening shift, arguing that they need time to be home with their spouses. They claim that their family needs are more important than the wishes of the unmarried workers, who would like evenings free to study or socialize. Your manager does not want to get involved in deciding who works which shift, but she wants to approve your final proposal.

Answer 1

The best solution is to rotate the evening shift so that every worker gets to work the evening shift every other three workdays.

This means that the evening shift is not permanently assigned to any team.

Step-by-step explanation:

a) Facts:

Number of workers in the the team = 15

Number of hours worked daily by a team member = 4

Total number of hours worked daily by the team = 60 (15 * 4)

Total number of hours worked in a week by the team = 300 (60 * 5)

The number of shifts per day = 3

The total number of hours required per shift = 20 (60/3)

The number of workers that can work each shift = 5 (working 4 hours each will result to 20 hours worked by a shift).

The evening shift, like others require 5 workers and 20 hours of work

Number of married workers refusing the evening shift = 6