Question

Activity-Based Costing and Product Cost Distortion

Handbrain Inc. is considering a change to activity-based product costing. The company produces two products, cell phones and tablet PCs, in a single production department. The production department is estimated to require 4,000 direct labor hours. The total indirect labor is budgeted to be $462,400.

Time records from indirect labor employees revealed that they spent 40% of their time setting up production runs and 60% of their time supporting actual production.

The following information about cell phones and tablet PCs was determined from the corporate records:

Number of
SetupsDirect Labor
HoursUnits

Cell phones500 2,000 68,000

Tablet PCs1,100 2,000 68,000

Total1,600 4,000 136,000

If required, round your answers to the nearest cent.

a. Determine the indirect labor cost per unit allocated to cell phones and tablet PCs under a single plantwide factory overhead rate system using the direct labor hours as the allocation base.

Cell phones$ per unit

Tablet PCs$ per unit

b. Determine the budgeted activity costs and activity rates for the indirect labor under activity-based costing. Assume two activities—one for setup and the other for production support.

Budgeted Activity CostActivity Rate

Setup$$per setup

Production support$$per direct labor hour

c. Determine the activity cost per unit for indirect labor allocated to each product under activity-based costing.

Cell phones$ per unit

Tablet PCs$ per unit

d. Why are the per-unit allocated costs in (a) different from the per-unit activity cost assigned to the products in (c)?

The per-unit indirect labor costs in (a) are distorted because   is consumed by the products in a different ratio from the direct labor. The   costing method results in the product with the   number of setups receiving a larger portion of the setup activity cost. The   allocates overhead only on the basis of direct labor hours. Since the direct labor hours   equal for each product, the allocated indirect labor will also   equal.

Answer 1

a.

Single plantwide factory overhead rate = Budgeted indirect labor costs / Total direct labor hours

Single plantwide factory overhead rate = $462,400 / 4,000 = $115.6 per direct labor hour

Cell phone = 2,000*$115.6 / 68,000 = $3.4 per unit

Tablet PCs = 2,000*$115.6 / 68,000 = $3.4 per unit

b.

Budgeted Activity Cost	Activity Rate
Setup	$115.6 [($462,400*40%)/1,600]	per setup
Production support	$69.36 [($462,400*60%)/4,000]	per direct labor hour

c.

Cell phone = $57,800(500*$115.6)+$138,720(2,000*$69.36) / 68,000 = $2.89 per unit

Tablet PCs = $127,160(1,100*$115.6)+$138,720(2,000*$69.36) / 68,000 = $3.91 per unit

d.

The per unit indirect cost in a are distorted because setup activity cost is consumed by the products in a different ratio from direct labor. The Activity costing method results in the product with the number of setups receiving a larger portion of the setup activity cost. The single plantwide factory overhead allocates overhead only on the basis of direct labor hours. Since the direct labor hours are equal for each product, the allocated indirect labor will also remain equal.