The auto repair shop of Quality Motor Company uses standards to control the labor time and labor cost in the shop. The standard labor cost for a motor tune-up is given below: Standard Hours Standard Rate Standard Cost Motor tune-up 2.00 $6.40 $12.80 The record showing the time spent in the shop last week on motor tune-ups has been misplaced. However, the shop supervisor recalls that 210 tune-ups were completed during the week, and the controller recalls the following variance data relating to tune-ups: Labor rate variance $ 440 F Labor spending variance $ 392 U Required: 1. Determine the number of actual labor-hours spent on tune-ups during the week. 2. Determine the actual hourly rate of pay for tune-ups last week. (Round your answer to 2 decimal places.)

Respuesta :

Answer:

1. Actual Hours Spent on tune ups = 471.25

2. Actual Rate per hour = $5.47

Explanation:

Provided Information

Standard Hours = 2

Standard Rate = $6.40

Standard Cost = $12.80

Labor Rate Variance = (Standard Rate - Actual Rate) [tex]\times[/tex] Actual Hours = $440 F

Labor Spending Variance = (Standard Hours - Actual Hours) [tex]\times[/tex] Standard Rate = $392 U

With labor Spending Variance we can compute actual hours

- $392 = (2 [tex]\times[/tex] 210 - AH) [tex]\times[/tex] $6.40

- $392 = (410 - AH) [tex]\times[/tex] $6.40

-$392/$6.40 = 410 - AH

- 61.25 = 410 - AH

AH = 410 + 61.25 = 471.25

Putting values of Actual Hours in Labor rate Variance we have

$440 = ($6.40 - AR) [tex]\times[/tex] 471.25

$440/471.25 = $6.40 - AR

$0.934 + AR = $6.40

AR = $6.40 - $0.934 = $5.47

1. The actual number of labors hours spent is 471.25 per week.

2. The actual hourly rate for tune-ups is $5.47 per hour.

Given information:

The standard hours is 2.00.    

The standard rate is $6.40  

The standard cost is $12.80

Calls completed in a week is 210

The labor rate variance is $440 (F).

The labor spending variance is $392 (U).

Therefore, the actual labor hour is computed from labor Spending Variance as below:

[tex]-392=(2*210-AH)*6.40\\-392=(410-AH)*6.40\\410-AH=\frac{392}{6.40} \\AH=471.25[/tex]

Here, AH is the actual labor hour, that is, 471.25.

Now, the actual rate would be derived from labor rate variance as:

[tex]440=(6.40 - AR)*471.25\\AR=6.40 - 0.934\\=5.47[/tex]

Here, AR represents the actual rate, which is $5.47.

Learn more about actual labor hours and the actual labor rate here:

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