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Analyzing Municipal Budgets

April 25, 2020

AnalyzingMunicipal Budgets

AnalyzingMunicipal Budgets

Question1

SpecificAbsolute Value inequality for each category in the budget where xrepresents the actual expense for a budget

  1. Board of Health

ImmunizationPrograms

|x– 15000| &gt 1800

Inspections

|x– 50000| &gt 6000

  1. Fire Department

Equipment

|x– 450000| &gt 54000

Salaries

|x– 275,000| &gt 33000

  1. Libraries

Book/periodicalpurchase

|x– 90000| &gt 10800

Equipment

|x– 30000| &gt 3600

Salaries

|x– 120000| &gt 14400

  1. Parks and Recreation

Maintenance

|x– 70000| &gt 8400

PlaygroundEquipment

|x– 50000| &gt 6000

Salaries

|x– 140000| &gt 16800

SummerPrograms

|x– 80000| &gt 9600

  1. Police Department

Equipment

|x– 300000| &gt 36000

Salaries

|x– 400000| &gt 48000

  1. Public Works

Recycling

|x– 50000| &gt 600

Sewage

|x– 100000| &gt 12000

SnowRemoval &amp Road Salt

|x– 200000| &gt 24000

StreetMaintenance

|x– 250000| &gt 30000

Watertreatment

|x–100000| &gt 12000

Question2

Compoundinequality for the condition describe in Question 1 for each categoryin the budget

  1. Board of Health

ImmunizationPrograms

|x– 15000| &gt 1800

x– 15000&gt 1800 and x– 15000&lt -1800

-1800&ltx – 15000&gt 1800

13200&lt x&lt16800

Inspections

|x– 50000| &gt 6000

x– 50000&gt 6000 and x– 50000&lt -6000

-6000&ltx – 50000&gt 6000

44000&lt x&lt56000

  1. Fire Department

Equipment

|x– 450000| &gt 54000

x– 450000&gt 54000 and x– 450000&lt -54000

-54000&ltx – 450000&gt 54000

396000&ltx&lt504000

Salaries

|x– 275,000| &gt 33000

x– 275000&gt 33000 and x– 275000&lt -33000

-33000&ltx – 275000&gt 33000

242000&lt x&lt308000

  1. Libraries

Book/periodicalpurchase

|x– 90000| &gt 10800

x– 90000&gt 10800 and x– 90000&lt -10800

-10800&ltx – 90000&gt 10800

79200&lt x&lt100800

Equipment

|x– 30000| &gt 3600

x– 30000&gt 3600 and x– 30000&lt -3600

-3600&ltx – 30000&gt 3600

26400&lt x&lt33600

Salaries

|x– 120000| &gt 14400

x– 120000&gt 14400 and x– 120000&lt -14400

-14400&ltx – 120000&gt 14400

105,600&lt x&lt134,400

  1. Parks and Recreation

Maintenance

|x– 70000| &gt 8400

x– 70000&gt 8400 and x– 70000&lt -8400

-8400&ltx – 70000&gt 8400

61600&lt x&lt78400

PlaygroundEquipment

|x– 50000| &gt 6000

x– 50000&gt 6000 and x– 50000&lt -6000

-6000&ltx – 50000&gt 6000

44000&lt x&lt56000

Salaries

|x– 140000| &gt 16800

x– 140000&gt 16800 and x– 140000&lt -16800

-16800&ltx – 140000&gt 16800

123200&lt x&lt156800

SummerPrograms

|x– 80000| &gt 9600

x– 80000&gt 9600 and x– 80000&lt -9600

-9600&ltx – 80000&gt 9600

70400&lt x&lt89600

  1. Police Department

Equipment

|x– 300000| &gt 36000

x– 300000&gt 36000 and x– 300000&lt -36000

-36000&ltx – 300000&gt 36000

264000&lt x&lt336000

Salaries

|x– 400000| &gt 48000

x– 400000&gt 48000 and x– 400000&lt -48000

-48000&ltx – 400000&gt 48000

352000&lt x&lt448000

  1. Public Works

Recycling

|x– 50000| &gt 6000

x– 50000&gt 6000 and x– 50000&lt -6000

-6000&ltx – 50000&gt 6000

44000&lt x&lt56000

Sewage

|x– 100000| &gt 12000

x– 100000&gt 12000 and x– 100000&lt -12000

-12000&ltx – 100000&gt 12000

88000&lt x&lt112000

SnowRemoval &amp Road Salt

|x– 200000| &gt 24000

x– 200000&gt 24000 and x– 200000&lt -24000

-24000&ltx – 200000&gt 24000

176000&lt x&lt224000

StreetMaintenance

|x– 250000| &gt 30000

x– 250000&gt 30000 and x– 250000&lt -30000

-30000&ltx – 250000&gt 30000

220000&ltx&lt280000

Watertreatment

Watertreatment

|x–100000| &gt 12000

x– 100000&gt 12000 and x– 100000&lt -12000

-12000&ltx – 100000&gt 12000

88000&lt x&lt112000

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 &amp 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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