Analyzing Municipal Budgets
AnalyzingMunicipal Budgets
AnalyzingMunicipal Budgets
Question1
SpecificAbsolute Value inequality for each category in the budget where xrepresents the actual expense for a budget
Board of Health
ImmunizationPrograms
|x– 15000| > 1800
Inspections
|x– 50000| > 6000
Fire Department
Equipment
|x– 450000| > 54000
Salaries
|x– 275,000| > 33000
Libraries
Book/periodicalpurchase
|x– 90000| > 10800
Equipment
|x– 30000| > 3600
Salaries
|x– 120000| > 14400
Parks and Recreation
Maintenance
|x– 70000| > 8400
PlaygroundEquipment
|x– 50000| > 6000
Salaries
|x– 140000| > 16800
SummerPrograms
|x– 80000| > 9600
Police Department
Equipment
|x– 300000| > 36000
Salaries
|x– 400000| > 48000
Public Works
Recycling
|x– 50000| > 600
Sewage
|x– 100000| > 12000
SnowRemoval & Road Salt
|x– 200000| > 24000
StreetMaintenance
|x– 250000| > 30000
Watertreatment
|x–100000| > 12000
Question2
Compoundinequality for the condition describe in Question 1 for each categoryin the budget
Board of Health
ImmunizationPrograms
|x– 15000| > 1800
x– 15000> 1800 and x– 15000< -1800
-1800<x – 15000> 1800
13200< x<16800
Inspections
|x– 50000| > 6000
x– 50000> 6000 and x– 50000< -6000
-6000<x – 50000> 6000
44000< x<56000
Fire Department
Equipment
|x– 450000| > 54000
x– 450000> 54000 and x– 450000< -54000
-54000<x – 450000> 54000
396000<x<504000
Salaries
|x– 275,000| > 33000
x– 275000> 33000 and x– 275000< -33000
-33000<x – 275000> 33000
242000< x<308000
Libraries
Book/periodicalpurchase
|x– 90000| > 10800
x– 90000> 10800 and x– 90000< -10800
-10800<x – 90000> 10800
79200< x<100800
Equipment
|x– 30000| > 3600
x– 30000> 3600 and x– 30000< -3600
-3600<x – 30000> 3600
26400< x<33600
Salaries
|x– 120000| > 14400
x– 120000> 14400 and x– 120000< -14400
-14400<x – 120000> 14400
105,600< x<134,400
Parks and Recreation
Maintenance
|x– 70000| > 8400
x– 70000> 8400 and x– 70000< -8400
-8400<x – 70000> 8400
61600< x<78400
PlaygroundEquipment
|x– 50000| > 6000
x– 50000> 6000 and x– 50000< -6000
-6000<x – 50000> 6000
44000< x<56000
Salaries
|x– 140000| > 16800
x– 140000> 16800 and x– 140000< -16800
-16800<x – 140000> 16800
123200< x<156800
SummerPrograms
|x– 80000| > 9600
x– 80000> 9600 and x– 80000< -9600
-9600<x – 80000> 9600
70400< x<89600
Police Department
Equipment
|x– 300000| > 36000
x– 300000> 36000 and x– 300000< -36000
-36000<x – 300000> 36000
264000< x<336000
Salaries
|x– 400000| > 48000
x– 400000> 48000 and x– 400000< -48000
-48000<x – 400000> 48000
352000< x<448000
Public Works
Recycling
|x– 50000| > 6000
x– 50000> 6000 and x– 50000< -6000
-6000<x – 50000> 6000
44000< x<56000
Sewage
|x– 100000| > 12000
x– 100000> 12000 and x– 100000< -12000
-12000<x – 100000> 12000
88000< x<112000
SnowRemoval & Road Salt
|x– 200000| > 24000
x– 200000> 24000 and x– 200000< -24000
-24000<x – 200000> 24000
176000< x<224000
StreetMaintenance
|x– 250000| > 30000
x– 250000> 30000 and x– 250000< -30000
-30000<x – 250000> 30000
220000<x<280000
Watertreatment
Watertreatment
|x–100000| > 12000
x– 100000> 12000 and x– 100000< -12000
-12000<x – 100000> 12000
88000< x<112000
Question3
BUDGET WORKSHEET |
|||||||
Budget category |
Budgeted Amount |
Min Allowed |
Actual Expense |
Max Allowed |
Within budget? |
Amt over/under budget |
|
Immunization |
$15,000 |
$13,200 |
$14,800 |
$16,800 |
Yes |
Under ($200) |
|
Inspection |
$50,000 |
$44,000 |
$41,900 |
$56,000 |
Yes |
Under ($8,100) |
|
Equipment |
$450,000 |
$396,000 |
$375,000 |
$504,000 |
Yes |
Under ($8100) |
|
Salaries |
$275,000 |
$242,000 |
$268,500 |
$308,000 |
Yes |
Under ($6500 |
|
Books/Periodical |
$90,000 |
$79,200 |
$107,300 |
$100,800 |
No |
Over ($17300) |
|
Equipment |
$30,000 |
$26,400 |
$29,000 |
$33,600 |
Yes |
Under ($1000) |
|
Salaries |
$120,000 |
$105,600 |
$118,400 |
$134,400 |
Yes |
Under ($1600) |
|
Maintenance |
$70,000 |
$61,600 |
$82,500 |
$78,400 |
No |
Over ($12500) |
|
Playground Equipment |
$50,000 |
$44,000 |
$45,000 |
$56,000 |
Yes |
Under ($5000) |
|
Salaries |
$140,000 |
$123,200 |
$118,000 |
$156,000 |
Yes |
Under ($22000) |
|
Summer Programs |
$80,000 |
$70,400 |
$96,200 |
$89,600 |
No |
Over ($9600) |
|
Equipment |
$300,000 |
$264,000 |
$328,000 |
$336,000 |
No |
Over ($28000) |
|
Salaries |
$400,000 |
$352,000 |
$405,000 |
$448,000 |
No |
Over ($5000) |
|
Recycling |
$50,000 |
$44,000 |
$48,100 |
$56,000 |
Yes |
Under ($1900) |
|
Sewage |
$100,000 |
$88,000 |
$92,500 |
$112,000 |
Yes |
Under ($7500) |
|
Snow Removal & Road Salt |
$200,000 |
$176,000 |
$268,300 |
$224,000 |
No |
Over ($68300) |
|
Street Maintenance |
$250,000 |
$220,000 |
$284,000 |
$280,000 |
No |
Over ($84000) |
|
Water treatment |
$100,000 |
$88,000 |
$94,100 |
$112,000 |
Yes |
Under ($5900) |
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