Asked by Nadia Kovacs on Jun 17, 2024

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Taussig Snow Removal's cost formula for its vehicle operating cost is $1,880 per month plus $394 per snow-day. For the month of February, the company planned for activity of 13 snow-days, but the actual level of activity was 14 snow-days. The actual vehicle operating cost for the month was $7,250. The activity variance for vehicle operating cost in February would be closest to:

A) $394 F
B) $248 U
C) $394 U
D) $248 F

Vehicle Operating Cost

The recurring expenses associated with using a vehicle, including fuel, maintenance, insurance, and depreciation.

Snow-Day

Typically refers to a day on which work or school is canceled due to excessive snowfall or hazardous weather conditions.

Activity Variance

The discrepancy between budgeted activity levels and actual activity levels, impacting the allocation of overhead costs.

  • Implement the principles of budgeting and variance analysis across various cost categories (variable, fixed) and operational activities (jobs, meals, flights, and more).
  • Appraise the efficiency with which resources are utilized across various operational settings.
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BC
Beatriz CastroJun 19, 2024
Final Answer :
C
Explanation :
Using the cost formula given, we can calculate the expected vehicle operating cost for February as:

$1,880 + $394 × 13 = $6,082

The actual cost for the month was $7,250, so there is an unfavorable cost variance of:

$7,250 - $6,082 = $1,168 U

To break down this variance into its activity and rate components, we can use the following formula:

Actual Cost - Expected Cost = Activity Variance + Rate Variance

Plugging in the numbers we have:

$7,250 - $6,082 = Activity Variance + Rate Variance

$1,168 = Activity Variance + Rate Variance

We know that the company planned for 13 snow-days but actually had 14 snow-days, so the activity variance is:

Activity Variance = $394 × (Actual Activity - Planned Activity)
Activity Variance = $394 × (14 - 13)
Activity Variance = $394 F

Substituting this into the equation above:

$1,168 = $394 F + Rate Variance

Rate Variance = $1,168 - $394 F
Rate Variance = $774 U

Therefore, the total variance is composed of a $394 F activity variance and a $774 U rate variance. The closest option is (C) $394 U for the activity variance.