Day M W Th F S Su Requirements 12 7 9 9 6 3.
The mayor of Cambridge, Colorado, wanting to be environ-
mentally progressive, decides to implement a recycling plan.
All residents of the city will receive a special three-part bin to
separate their glass, plastic, and aluminum, and the city will
be responsible for picking up the materials. A young city and
regional planning graduate, Michael Duffy, has been hired to
manage the recycling program. After carefully studying the
city’s population density, Duffy decides that the following
numbers of recycling collectors will be needed: The requirements are based on the populations of the vari-
ous housing developments and subdivisions in the city and
surrounding communities. To motivate residents of some
areas to have their pickups scheduled on weekends, a special
tax break will be given.
a. Find the minimum number of recycling collectors re-
quired if each employee works 5 days a week and has two
consecutive days off. Give preference to the S–Su pair
when that pair is involved in a tie.
b. Specify the work
slack does your schedule generate for each day?
c. Suppose that Duffy can smooth the requirements further
through greater tax incentives. The requirements then
will be eight collectors on Monday and seven on the other
days of the week. How many collectors will be needed
now? Does smoothing of requirements have capital in-
vestment implications? If so, what are they?
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