Factory Overhead: Practical Problems and Solutions

Written by True Tamplin, BSc, CEPF®

Reviewed by Subject Matter Experts

Updated on March 03, 2023

Factory Overhead Application Methods

Problem 1

IQIZ estimated its factory overhead for the next period at $160,000. It is estimated that 40,000 units will be produced at a materials cost of $200,000.

Production will require 40,000 man-hours at an estimated wage cost of $80,000. The machines will run for approximately 25,000 hours.

Required: Calculate the factory overhead rate that may be used in applying FOH to production on each of the following bases:

  • Materials cost
  • Direct labor cost
  • Direct labor hours
  • Machine hours
  • Units of production

Solution

1. Material Cost Basis

Formula:

= (Estimated factory overhead / Estimated material cost) x 100

= ($160,000 / $200,000) x 100

= 80%

2. Direct Labor Cost Basis

Formula:

= (Estimated FOH / Estimated DL cost) x 100

= ($160,000 / $80,000) x 100

= 200%

3. Direct Labor Hours Basis

Formula:

= (Estimated FOH / Estimated DL hours) x 100

= $160,000 / 40,000 hrs.)

= $4.00 per hour

4. Machine Hours Basis

Formula:

= Estimated FOH / Estimated machine hours

= $160,000 / 25,000 hrs.

= $6.40 per machine hour

5. Units of Production Cost

Formula:

= Estimated FOH / Estimated no. of units

= $160,000 / 40,000 hours

= $4.00 per unit

6. Prime Cost Basis

Formula:

= Estimated FOH / Estimated prime cost

= ($160,000 / ($200,000 + 80,000)) x 100

= 89%

FOH Variances

Problem 2

The factory overhead for the King Manufacturing Company is estimated as follows:

  • Fixed overhead = $15,000
  • Variable overhead = $45,000
  • Estimated direct labor hours = 20,000

Production for the month reached 75% of the budget. In addition, actual factory overhead totaled $43,000.

Required: Calculate the following:

  • Applied factory overhead (i.e., overapplied or underapplied)
  • Spending and capacity variances

Working

FOH Applied Rate

Formula:

= FOH applied for normal capacity / Normal capacity

= $60,000 (15,000 + 45,000) / 20,000 hrs.

= $3 per hour

Applied FOH for Actual Capacity or Capacity Attained

Formula:

= Actual capacity x FOH hrs. x $3

= (20,000 x 75%) x $3

= 15000 hrs. x $3

= $45,000

Budgeted Allowance

Formula:

= Fixed cost + Variable cost for actual capacity

= $15,000 + 33,750*

= $48,750

* Variable Cost for Actual Capacity

Formula:

= Actual capacity x Variable cost rate

= 15,000 x $2.25*

= $33,750

* Variable Cost Rate

Formula:

= Variable cost for normal volume / Normal volume

= $45,000 / 20,000 hrs.

=$2.25 per hour

Solution

1. Overapplied or underapplied FOH

Over- or Underapplied FOH

2. Variances

Spending variance

Spending Variance

Capacity variance

Capacity variance Calculations

Variance check

Variance Check

High-Low Point Method

Problem 3

The burden rate of John & Co. is $2.00 per hour. The budgeted overhead for 3,000 hours per month is $8,000 and at 7,000 hours is $12,000. Actual factory overhead for the month was $9,000 and actual volume was 5,000 hours.

Required: Calculate the following:

  • Variable overhead in burden rate
  • Budgeted fixed overhead
  • Normal volume
  • Applied overhead
  • Over- or under-absorbed overhead
  • Idle capacity variance
  • Spending variance

Solution

Activity Level

Budgeted FOH

(hrs.)

($)

7,000

12,000

3,000

8,000

4,000

4,000

1. Variable Cost Rate/V.C. in burden rate

Formula:

= Difference in burden FOH / Difference in activity level

= $4,000 / 4,000 hrs.

= $1 per hour

2. Budgeted Fixed Overhead

Budgeted FOH for 7,000 hrs.

$12,000

Less VC for 7,000 hrs. (7,000 x 1)

$7,000

Fixed Cost

$5,000

OR

Budgeted FOH for 3,000 hours

$8,000

Less VC for 3,000 hours (3,000 x 1)

$3,000

Fixed Cost

$5,000

3. Normal Volume/Standard Activity Level

Formula:

= Fixed FOH Cost / Fixed FOH Cost Rate

= $5,000 / $1

= 5,000 hrs.

4. Applied Factory Overheads

Formula:

= Actual capacity x FOH applied rate

= 5,000 x 2

= $10,000

5. Over- or Under-absorbed FOH

Applied FOH for Capacity Attained

$10,000

Less Actual FOH

$9,000

Overapplied FOH

$1,000

6. Capacity Variance

FOH Applied for Capacity Attained

$10,000

Less Budgeted Allowance

$10,000

7. Spending Variance

Actual FOH

$9,000

Less Budgeted Allowance

$10,000

1,000 (Favourable)

Variance check

Low & High Point Method Check

Calculations

Fixed FOH Rate

Applied Burden Rate

$2.00

Less Variable Rate

$1.00

Fixed Burden Rate

$1.00

Budgeted allowance:

= Fixed cost + Variable cost for capacity attained

= 5,000 + (5,000 x 1)

= 5,000 + 5,000

= $10,000

Factory Overhead: Practical Problems and Solutions FAQs

About the Author

True Tamplin, BSc, CEPF®

True Tamplin is a published author, public speaker, CEO of UpDigital, and founder of Finance Strategists.

True is a Certified Educator in Personal Finance (CEPF®), author of The Handy Financial Ratios Guide, a member of the Society for Advancing Business Editing and Writing, contributes to his financial education site, Finance Strategists, and has spoken to various financial communities such as the CFA Institute, as well as university students like his Alma mater, Biola University, where he received a bachelor of science in business and data analytics.

To learn more about True, visit his personal website or view his author profiles on Amazon, Nasdaq and Forbes.