TwoStage Cost Systems Agenda Traditional cost systems Twostage

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Two-Stage Cost Systems

Two-Stage Cost Systems

Agenda • Traditional cost systems • Two-stage systems • Examples – Detroit Lofts –

Agenda • Traditional cost systems • Two-stage systems • Examples – Detroit Lofts – Ross Parts • Takeaway

Mapping Resources to Products • Product costs arise from products’ use of resources –

Mapping Resources to Products • Product costs arise from products’ use of resources – Dedicated Resources – Shared Resources • More accurate costing systems – Better track the products’ use of shared resources • Design of more accurate costing systems – 2 stage-costing systems

Traditional Cost Systems Materials Direct Labor Overhead Direct % Labor Cost Doors Mufflers Manifolds

Traditional Cost Systems Materials Direct Labor Overhead Direct % Labor Cost Doors Mufflers Manifolds

Two Stage Cost Systems • Traditional Systems – Assumes that all shared resources exist

Two Stage Cost Systems • Traditional Systems – Assumes that all shared resources exist to support direct labor • Modern Manufacturing and Service Technologies – Shared resources could include • Machines and Technical Personnel • Product and Service Designers • Two Stage Costing Systems – A more sophisticated method of mapping shared resources to individual products

Example: Detroit Lofts, Inc. • A small loft at 3930 Cass Ave. in Detroit

Example: Detroit Lofts, Inc. • A small loft at 3930 Cass Ave. in Detroit – Originally a VFW bar – Now houses two office spaces A and B of 600 sq. ft. and 400 sq. ft. respectively – Each office space is used by one person • The joint utility bill is $800, of which $500 is for heat, and $300 is for water – Electricity and Comcast are billed individually • What is the utility cost of each office space?

Traditional System • Use square footage as the allocation basis • Both offices together

Traditional System • Use square footage as the allocation basis • Both offices together have 1, 000 sq. ft. – So each sq. ft. costs $800 ÷ 1000 = $0. 80 • Office costs – A: $0. 80 x 600 = $480 – B: $0. 80 x 400 = $320 • Do the costs properly reflect resource use by the two offices?

Two-Stage Costing System • One approach is to adopt a “two-stage” cost system –

Two-Stage Costing System • One approach is to adopt a “two-stage” cost system – First stage • Split overhead into the two departments (heat and water) – Second stage • Calculate separate overhead rates using different allocation bases (cost drivers) Note: use allocation base levels that combine all offices’ usage • Calculate individual office costs using the new rates

Two-Stage Cost System Electricity Direct Comcast Internet Overhead Direct Heat Square feet Office A

Two-Stage Cost System Electricity Direct Comcast Internet Overhead Direct Heat Square feet Office A Office B Water Headcount

Detroit Lofts: Resource Usage • First stage – Total utilities bill is $800 =

Detroit Lofts: Resource Usage • First stage – Total utilities bill is $800 = $500 (heat) + $300 (water) • Second stage – Heat allocated by square footage (allocation base) • Heat rate = $500 ÷ (600 + 400) = $0. 50 per sq. ft. – Water allocated by headcount (allocation base) • Water rate = $300 ÷ (1 + 1) = $150 person • Office A cost = $0. 50 x 600 + $150 = $450 (down from $480) • Office B cost = $0. 50 x 400 + $150 = $350 (up from $320) • A better reflection of the offices’ true usage of shared resources

Agenda • Traditional cost systems • Two-stage systems • Examples – Detroit Lofts –

Agenda • Traditional cost systems • Two-stage systems • Examples – Detroit Lofts – Ross Parts • Takeaway

Another Example: Ross Parts • Ross Parts produces two products through two production departments

Another Example: Ross Parts • Ross Parts produces two products through two production departments (machining and assembly) – Product 1 (“Cutting Edge”) is a new product that requires many hours in Machining – Product 2 (“Old Faithful”) is a standard product that requires few hours in Machining – Both products require the same time in Assembly

Ross Parts • Product and cost data Old Faithful Direct materials cost Cutting Edge

Ross Parts • Product and cost data Old Faithful Direct materials cost Cutting Edge $30 Machine hours – Machining 1 2 Labor hours – Machining 2 2 Machine hours – Assembly 0 0 Labor hours – Assembly 2 2 1, 000 2, 000 Estimated production (units) Direct labor rate – All depts. $25/hour Overhead cost – Machining $120, 000 Overhead cost – Assembly $30, 000

Ross Parts • Ross Parts uses a traditional cost system and allocates all overhead

Ross Parts • Ross Parts uses a traditional cost system and allocates all overhead costs using direct labor costs • What is the reported cost for the two products?

Ross Parts • Overhead rate: Total overhead cost ($120, 000 + $30, 000) =

Ross Parts • Overhead rate: Total overhead cost ($120, 000 + $30, 000) = $150, 000 Total labor cost (1, 000 x 4 + 2, 000 x 4) x $25 = $300, 000 Overhead rate ($150, 000 ÷ $300, 000) = 50% • Product costs (per unit): Old Faithful Cutting Edge Direct materials $30 Direct labor (@$25) 100 50 50 $180 Overhead (@50% of labor cost) Product cost

Do the Reported Costs Make Sense? • Unit costs are the same for each

Do the Reported Costs Make Sense? • Unit costs are the same for each product • Cutting Edge “uses” twice as much of the Machining Department resources – Old Faithful requires 1 machine hour per unit – Cutting Edge requires 2 machine hours per unit • How can we better reflect the physical resource usage?

Ross Parts Cost System Materials Direct Labor Overhead Direct 50 % Labor Cost Old

Ross Parts Cost System Materials Direct Labor Overhead Direct 50 % Labor Cost Old Faithful: Materials $30 Labor $100 Overhead $50 Cutting Edge: Materials $30 Labor $100 Overhead $50

Two-Stage Cost System Materials Direct Overhead Labor Direct Machining Machine Hours Old Faithful Cutting

Two-Stage Cost System Materials Direct Overhead Labor Direct Machining Machine Hours Old Faithful Cutting Edge Assembly % Labor Cost

Two-Stage System • Overhead rates: Machining Department Total overhead cost Total machine hours Overhead

Two-Stage System • Overhead rates: Machining Department Total overhead cost Total machine hours Overhead rate $120, 000 (1, 000 x 1 + 2, 000 x 2) = ($120, 000 ÷ 5, 000 hours) = 5, 000 $24/machine-hour Assembly Department Total overhead cost Total labor cost Overhead rate $30, 000 (1, 000 x 2 + 2, 000 x 2) x $25 = ($30, 000 ÷ $150, 000) = $150, 000 20%

Two-Stage System • Product costs Old Faithful Cutting Edge Direct materials $30 Direct labor

Two-Stage System • Product costs Old Faithful Cutting Edge Direct materials $30 Direct labor – Machining 50 50 Direct labor – Assembly 50 50 Machining (@$24/machine-hour) 24 48 Assembly (@20% Assembly labor) 10 10 $164 $188 Overhead Total

Takeaway • Traditional cost systems are an “easy” and intuitive approach to cost allocation

Takeaway • Traditional cost systems are an “easy” and intuitive approach to cost allocation – Usually adequate for financial reporting – However, traditional systems assume all shared resources exist to support the same input factor (e. g. , direct labor) • Two-stage systems – More complex – Offer a better mapping scheme from shared resources to products