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A carpenter earns $18 an hour for a regular work week (40) hours. He earns time and a half for overtime. The weekly wage function is W(h)={                  18h                                         040} where h is the number of hours worked for the week. Find the wage if the carpenter worked 42.5 hours in the week

Respuesta :

18×40=720 regular time
18×1.5=27 overtime per hour
27×2.5= 67.5 overtime

$720+$67.50=$787.50

The total Wage of the carpenter is $787.5.

Total Earning through Work

The total earning through work is the product of earnings per hour and the number of hours worked.

[tex]\bold{Total\ Earning = Earning\ per\ Hour\times Number\ of\ hours\ worked}[/tex]

Given to us,

earnings per hour of carpenter = $18/hour

regular workweek = 40 hours,

Number of hours he worked this week = 42.5 hours,

Earning for an extra hour of working

                   = 1.5 x regular earnings per hour of carpenter= 1.5 x 18 = $27/hour

Extra working hour

                 = number of hours he worked this week - regular workweek  

                 = 42.5 - 40

                 = 2.5 hours

Earning of the carpenter for the workweek,

Earning through workweek

                            = regular workweek x earnings per hour of carpenter

                            = 40 hours x $18/hour

                            =  $720

Earning of the carpenter for the extra work hour,

Earning through extra work hour

                            = extra work hour x Earning for an extra hour of working

                            = 2.5 hours x $27/hour

                            =  $67.5

Total Wage of the carpenter

Total Wage of the carpenter

= Earning of the carpenter for the workweek+Earning of the carpenter for the extra work hour

= $720 + $67.5

= $787.5

Hence, the total Wage of the carpenter is $787.5.

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