Chapter Five
Questions and Exercises
1. The analysis should begin with a test of ratios, shares, and trend, probably within a
spreadsheet. The investigation could examine 1) how the categories have increased over
time, 2) how the share of the particular categories have changed, e. g., the faculty salary
or student fellowship share of the total; and 3) the relationship (ratio) between
components, e. g., clerical to faculty or travel to faculty.
2. Some questions about the memorandum: 1) The collection increase is about 50 percent,
not 59 percent. 2) What are the separate contributions to numbers of calls from the
automated phone system and from additional employees? Adding 10 employees is a 53
percent in staff, but calls increase by 100 percent. Can we assume that the remaining
productivity increase is from the equipment? What would happen if either the new
equipment or the new employees were added, but not both? 3) Doubling the number of
calls represents a 100 percent increase in calls. Why is the yield increase so much less?
Might most of the productive calls have already been made with the existing
system/staff?
3. Grade Number Salary Total Salary
Chief 1 $105,000 $105,000
Shift Commander 3 70,000 210,000
Firefighter 1 12 39,000 468,000
Firefighter 2 26 30,000 780,000
Clerical (part-time) 3 15,000 45,000
TOTAL 1,608,000
COST
a. Salaries: 1,608,000
b. Social Security:
Retirement: 0.062 x [1,608,000 – (105,000-90,000)] = 98,766
Medicare: 0.0145 x 1,608,000 = 23,316
c. Health Insurance: 180 x 12 x 42 = 90,720
d. Pension System: (1,608,000/2) x 0.20 = 160,800
e. Uniform Allowance: 750 x 42 = 31,500
Total: 2,013,102