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#1a. Examination of four similar jurisdictions by population
Law City Population= 36,328 (a1) (a2) City | Population | # of Officers | Appletown | 32,292 | 45 | Fun City | 45,005 | 39 | Home Wood | 44,134 | 54 | Lake Villa | 31,716 | 30 | Data Source

Population of Law City from 1a Group F #1 Population and Officers From other cities Table 16 project Data set 3

#1b. Number of Officers per 1000

Data Source= Table 16 and Q1a

City | Population/1000 | Fpo= | Fpo | Appletown | 32.292 | 45/32.292 | 1.394 | Fun City | 45.005 | 39/45.005 | .867 | Home Wood | 44.134 | 54/44.134 | 1.224 | Lake Villa | 31.716 | 30/31.716 | .946 |

#1c Recommended Conversion Value

City | Conversion Value | Appletown | 1.394 | Fun City | .867 | Home Wood | 1.224 | Lake Villa | .946 | Average | 4.431/4= 1.108 |
Data Source
Question 1b…Fpo of Cities

The recommended conversion value for Law City is: 1.108 Officers per 1000 population

#1d Number of Officers using current Law City Population and recommended conversion factor

No=Fpo * Population (in 1000s) Data Source
No=1.108*36.328 Population of Law City from Question 1a Group F
No=41 1……Fpo from Question 1c

Q2a. From Table 2 Patrol Activity | Calls | CFS Part I | 3840 | CFS Part II | 5549 | CFS For Service | 17653 | CFS Traffic Crashes | 1951 | Admin Patrol Activities | 5304 | TOTAL NUMBER OF PATROL ACTIVITIES | 34,297 |

Q2b. From Table 2 From Table 1 Patrol Activity | Calls | Average Time | Total Hours | CFS Part I | 3840 | 3.5 | 13440 | CFS Part II | 5549 | 1.7 | 9433.3 | CFS Service | 17,653 | .6 | 10591.8 | CFS Traffic Crashes | 1951 | 1.3 | 2536.3 | Admin Patrol Activities | 5304 | .2 | 1060.8 | Total hours of obligated time | 37062 |

Q2c.

Data Source
Mu= 45 given in Q2c F1

fperf = Mu / 60-Mu --- fperf = 45/(60-45) --- fperf = 45/15 - fperf = 3

Q2d.

TUT=fperf * TOT ---- TUT=3*37062 ---- TUT (total unobligated time)= 111,186

TPT=TOT+TUT ---- TPT=37063+111186 ------ TPT= 148,248
Data Sources
Fperf = 3 from Q2c TOT=37062 from Q2b TUT= 111,186 from Q2d

Q2e. Average number of on-duty units to be fielded per day

Nu = 1/SL * TPT/# of days -- Nu = 1/8 * 148248/365 Nu = .125 * 406.159 Nu = 51 units

Data Sources
TPT = 148,248 from Q2d SL = 8 given in Q2e #of days in collection period=365 from data set 3

Q2f. Minimum number of duty units required to meet obligated time work load

Nmin = 1/SL * TOT/# of days

Nmin = 1/8 * 37062/365

Nmin = .125 * 101.540

Nmin = 13units

Data Source

TOT = 37062 SL = 8 given in Q2e # of days in collection period =365 from Data set

Number of extra-duty units needed to meet Chiefs performance requirement

Nperf = 1/SL * TUT/# of days

Nperf = 1/8 * 111186/365

Nperf = .125 * 304.620

Nperf = 38 units

Verfification= Nu = Nmin + Nperf Nu= 13 + 38 Nu = 51

Data Source

TUT = 111,186 from Q2d SL = 8 given in Q2e # of days in collection period=365 from data set

Q3a.

Data Source
Number of units = 51 from Q2e Proportion of two unit Officer units 25% given in Q3a L group 1

Officer Unit Type | Number Units | Officers per unit | Number positions | Two-Officer | 13 | 2 | 26 | One-Officer | 38 | 1 | 38 | Total on duty positions per day (Q3b) | 64 |

Q4a.

RTSO = D – D * AWW / 7 * SL

RTSO = 365 – 365 * 37.33 / 7 * 8

RTSO = 365 – 13625.45 / 56

RTSO = 365 – 243.31

RTSO = 121.7

Data Source

D = 365 per Data set AWW = 37.33 given in Q4a F1 Shift Length = 8 hrs given in Q4a

Q4b.
DATA SOURCE ---- Table 15 from project data set number 3 Benefit Time Off | 30 days | Non-Patrol Time | 14.9 days | TOTAL | 44.9 days | |
Q4c.
DATA SOURCE CCT = 30 from Q4c L3 fon = 20% from Q4c F1 OT = 24 From Q4c L3

NCTO = CCT – (fon * OT)
NCTO = 30 – (.20 * 24)
NCTO = 30 – 4.8
NCTO = 25.2 / 8hrs to convert to days
NCTO = 3.2 days

Q4d.

DATA SOURCE: Answers from Q4a,b,c, above.

Q4a= 121.7 Q4b= 44.9 Q4c= 3.2 Total Above=169.8 days

SRF = 365 * 8 / (365 * 8) – (169.8 * 8)

SRF = 2920 / 2920 – 1358.4

SRF = 2920 / 1561.6

SRF = 1.87

Q4e.

Total number of Officers = (SRF) * ( number of shift positions per day)

Total number of Officers = 1.87 * 64

Total Number of Officers = 120

Q5a. On Duty Units

DATA SOURCE: TPT = 148,248 from Q2d SL = 10 given in Q5a # days = 365 Data set #3

Nu = 1/SL * TPT / Number of days

NU = 1/10 * 148,248/365

Nu = .1 * 406.159

Nu = 41 units

Q5b. Officer Unit Type | Number of Units | Officers per Unit | Number of Positions | Two-Officer | 10 | 2 | 20 | One-Officer | 31 | 1 | 31 | Total on duty positions per day | 51 |
DATA SOURCE: Number of units = 41 from Q5a, Proportion of two-officer units 25% given Q3a L group

Q5c.
DATA SOURCE: D=365 from Data set 1, Shift schedule 5333 given in Q5, Days Off=6 given Q5, Total shift length = 14 given in Q5.

RTSO = TTP * Number of off duty days in duty cycle pattern / Duty cycle length (Days)

RTSO = 365 * 6 / 14

RTSO = 2190 / 14

RTSO = 156.4

Q5d.

I will be using hours per Law City Policy

Q5e.
DATA SOURCE: Table 15 from Project Data Set 3

Categories | | | Benefit Time Off | 30 days * 8 | 240 hours | Non-Patrol Time | 14.9 days * 8 | 119.2 hours | NCT | 3.2 days * 8 | 25.2 hours | 48.1 days | 384.4 hours | | | |

RTSO = 156.4 days DATA SOURCE Q5a RTSO = 156.4 * 10 RTSO = 1564 Hours Average number of hours time off = RTSO + (BTO+NPT+NCT) in hours Average number of hours time off = 1564+384.4 Average number of hours time off = 1948.40 SRF = 365 * 10 / (365* 10) – 1948.4 SRF = 3650/3650-1948.4 SRF = 3650/1701.6 SRF = 2.16 Q5f. DATA SOURCE: SRF = 2.16 from Q5e, Number of positions = 51 from Q5b Total # of Officers = (SRF) * (# of shift positions per day) Total # of Officers = 2.16 * 51 Total # of Officers = 110.16 TOTAL # of Officers = 111 Q5g. The 10 hour shifts require less Officers because each Officer is working longer hours. This creates an overlapping of coverage and time allowing for less Officers to effectively manage the calls for service. Fewer Officer’s doesn’t mean less coverage but just the opposite. Ten hour shifts allow for an increase in manpower during peak hours by overlapping shifts and fewer Officer’s during the off peak times. With the excess manpower during peak periods, days off and vacation doesn’t play as big a roll in determining manpower.

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