Chapter 4, Problem 64E

This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d).

Part I. A catering company contracts to provide catering services to three schools: Alexdale, with 617 students, Bromville, with 1, 292 students, and Canley, with 981 students. The 30 food-service workers employed by the catering company are apportioned among the schools based on student enrollments.

a. Find the standard divisor, rounded to the nearest integer.

b. Find the apportionment of the 30 workers to the three schools under Hamilton's method.

Part II. The catering company gets a contract to service one additional school—Dillwood, with 885 students. To account for the additional students, the company hires 9 additional food-service workers. [885 students represent approximately 9 workers based on the standard divisor found in (a).]

c. Find the apportionment of the 39 workers to the four schools under Hamilton's method.

d. Which paradox is illustrated by the result of (b) and (c)? Explain.