A crew of (5) carpenters and (2) laborers will be used to build the formwork for
ID: 1839189 • Letter: A
Question
A crew of (5) carpenters and (2) laborers will be used to build the formwork for a concrete structure. Work is scheduled on Monday through Friday 10 hr/day and 7 hr on Saturday Overtime at a rate of one and one-half will be paid for all hours over 8 hr/day during the week and double time for all Saturday work. The base wage, taxes, and insurance rates are given in the table. Calculate the hourly, weekly, and monthly cost for the crew Carpenters S32.50/ hr $4.75/S100.00 S3.5/S100.00 of base wage Item Base Wage Worker's Compensation Public liability property damage $2.20/S100.00 S1.80/$100.00 of base wage Social security (FICA) State unemployment Federal unemployment Fringe benefits Laborers S24.00/hr 7.65% 3.0% 2.0% $2.10/hr 7.65% 3.0% 2.0% $1.75/hr of actual wage of actual wage of actual wageExplanation / Answer
Actual Hour = ( 10 hr/day x 5 days) + ( 7 hr/day x 1 days) = 57 hr.
Pay Hour = weekly straight time +weekly overtime+ Saturday overtime
= ( 5 days x 8 hrs/day @1.0) + ( 5 days x 1 hrs/day @1.5) + ( 1 day x 8 hrs/day x 2.0)
= 40+7.5+16.0
= 63.5 hr
Average hourly hour = [pay hour / Actual hour] x Base wage
Carpenter Cost
Average hourly hour = (63.5 / 57) x $32.50/hr = $ 36.206140/hr
Social security tax = 7.65 % x $ 36.206140/hr = 2.76976971
State unemployment = 3.0% x $ 36.206140/hr = 1.0861842
Federal unemployment = 2.0% x $ 36.206140/hr = 0.7241228
Workers Compensation = $4.75/ $100.00 x $32.50/hr = 1.54375
Public liability/property damage = $2.20/ $100.00 x $32.50/hr = 0.715
Fringe benefits = 2.10
carpenter average hourly cost = $ 45.14496671
carpenter hourly cost = $ 45.14/hour
carpenter weekly cost = $ 45.14496/hr x 53.0 hr/week = $ 2392.68288/week
carpenter monthly cost = $ 2392.68288/week x 52/12 = $10368.29/month
Labour Costs -
Average hourly hour = (63.5 / 57) x $24.00/hr = $ 26.736 /hr
Social security tax = 7.65 % x $ 26.736/hr = 2.045304
State unemployment = 3.0% x $ 26.736/hr = 0.80208
Federal unemployment = 2.0% x $ 26.736/hr = 0.53472
Workers Compensation = $3.5/ $100.00 x $24.00/hr = 0.84
Public liability/property damage = $1.80/ $100.00 x $24.00/hr = 0.432
Fringe benefits = 1.75
laborer average hourly cost = $ 33.140104
laborer hourly cost = $ 33.14/hour
laborer weekly cost = $ 33.140104/hr x 53.0 hr/week = $ 1756.425512 /week
laborer monthly cost = $ 1756.425512/week x 52/12 = $ 7611.17721 /month
Crew costs
Hourly cost of crew = 5 carpenters @ $ 45.14/hr + 2 laborer @ $ 33.14/hr = $ 291.98/hr
Weekly cost of crew = 5 carpenters @ 2392.68288/week + 2 laborer @ $ 1756.425512 /week = $ 15476.265424/ week
Monthly cost of crew = 5 carpenters @ $10368.29/month + 2 laborer @ $ 7611.17721 /month = $ 67063.80442/ month.
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