UNION REPRESENTATION:

HOW CAN IT BE APPORTIONED FAIRLY?

Based on the situation below, consider possible solutions to the following questions. After your group has determined a solution and/or method to each of the questions, each group will present and explain these solutions, processes, and methods to the rest of the class.


Situation:

The Board of Directors of a Union for a trucking company has allotted 12 seats for liaisons of its three divisions. One division, Local 28 (better known as the Teamsters) consists of the drivers. There are 60 employees in the Local 28 division. The second division, Local 17, consists of office employees. There are 10 employees in Local 17. The third division, Local 5, consists of the casuals, non-drivers, and dock workers. There are 35 employees in Local 5.


i) For each of the divisions of the Union, devise a method to divide the liaison seats between these divisions so that all employees are represented fairly. Determine how many liaisons will be allotted to each division. (Remember: the union has allotted a total of 12 seats).




ii) Do you feel your method results in the fairest division of seats? Why or why not? What makes the division fair?





iii) What factors affect the apportionment of the seats to represent each division?









The Discrete Mathematics Project