Relevant costing CONCEPT OF RELEVANT COSTING A relevant cost is defined as future cash flow arising as a direct consequence of a decision. • The cost shall be incurred in future as result of decision. It means that any cost that has already been incurred before initiation of decision is not relevant cost and considered as “Sunk Cost”. • The cost or benefit in relation to specific decision shall be in cash. There shall be cash inflows or outflows as direct consequence of decision. The non-cash costs like depreciation and apportioned overheads are treated as irrelevant cost. • The cost shall be incremental means when decision is taken, the cost is incurred otherwise not. Any cost that will happen anyway, regardless of the decision, cannot be a relevant cost. For example, if committed to pay rent of machine for next six months is irrelevant cost because it will not affect the decision. This cost is termed as “Committed cost. Use of relevant costing Relevant cost principle is used when a decision has to be made and the concern is whether the decision will increase profit or not. It is based on minimum cost principle. Examples of application of relevant cost to specific decisions are: • Decision regarding acceptance of job or undertake some work at a stated price that customer is willing to pay. • Whether to sell joint products arising as result of common process, at split off point or to sell it after processing further. • Whether the products should be made in house or whether to subcontract or outsource the work to external supplier. Incremental: Example A company has identified that each cost unit it produces has the following costs: Rs. (000) Direct materials 50 Direct labour 20 70 Fixed production overhead 30 Total absorption cost 100 • The incremental cost of making one extra unit is Rs. 70,000. Making one extra unit would not affect the fixed cost base. The fixed cost of Rs. 30,000 is irrelevant cost as it would not affect the decision. Differential cost: Example • A company needs to hire a photocopier for the next six months. It has to decide whether to continue using a particular type of photocopier, which it currently rents for Rs.2,000 each month, or whether to switch to using a larger photocopier that will cost Rs.3,600 each month. If it hires the larger photocopier, it will be able to terminate the rental agreement for the current copier immediately. • The decision is whether to continue with using the current photocopier, or to switch to the larger copier. One way of analyzing the comparative costs is to say that the larger copier will be more expensive to rent, by Rs.1,600 each month for six months. The differential cost of hiring the larger copier for six months would therefore be Rs.9,600 (1,600 x 6). Avoidable and unavoidable costs: Example • A company has one year remaining on a short-term lease agreement on a warehouse. The rental cost is Rs.100,000 per year. The warehouse facilities are no longer required, because operations have been moved to another warehouse that has spare capacity. • If a decision is taken to close down the warehouse, the company would be committed to paying the rental cost up to the end of the term of the lease. However, it would save local taxes of Rs.16,000 for the year, and it would no longer need to hire the services of a security company to look after the empty building, which currently costs Rs.40,000 each year. • The decision about whether to close down the unwanted warehouse should be based on relevant costs only. Avoidable costs are relevant costs. Unavoidable costs are not relevant to a decision. • Local taxes and the costs of the security services (Rs.56,000 in total for the next year) could be avoided and so these are relevant costs. • The rental cost of the warehouse cannot be avoided, and so should be ignored in the economic assessment of the decision whether to close the warehouse or keep it open for another year. Committed cost (unavoidable costs): Example • A company bought a machine one year ago and entered into a maintenance contract for Rs.20,000 for three years. • The machine is being used to make an item for sale. Sales of this item are disappointing and are only generating Rs, 15,000 per annum and will remain at this level for two years. • The company believes that it could sell the machine for Rs. 25,000. • The relevant costs in this decision are the selling price of the machine and the revenue from sales of the item. • If the company sold the machine it would receive Rs. 25,000 but lose Rs. 30,000 revenue over the next two years – an overall loss of Rs. 5,000 • The maintenance contract is irrelevant as the company has to pay Rs. 20,000 per annum whether it keeps the machine or sells it. • Leases normally represent a committed cost for the full term of the lease, since it is extremely difficult to terminate a lease agreement. Sunk costs: Example • A company must decide whether to launch a new product on to the market. • It has spent Rs.900,000 on developing the new product, and a further Rs.80,000 on market research. • A financial evaluation for a decision whether or not to launch the new product should ignore the development costs and the market research costs, because the Rs.980,000 has already been spent and would not be recovered regardless to go ahead with the launch or not. The costs are sunk costs. Opportunity costs: Example • A company has been asked by a customer to carry out a special job. The work would require 20 hours of skilled labour time. There is a limited availability of skilled labour, and if the special job is carried out for the customer, skilled employees would have to be moved from doing other work that earns a contribution of Rs.60 per labour hour. • A relevant cost of doing the job for the customer is the contribution that would be lost by switching employees from other work. This contribution forgone (20 hours × Rs.60 = Rs.1,200) would be an opportunity cost. This cost should be taken into consideration as a cost that would be incurred as a direct consequence of a decision to do the special job for the customer. In other words, the opportunity cost is a relevant cost in deciding how to respond to the customer’s request. Relevant cost of materials: Question: X Co intends to print a catalogue for a one-off special promotion. The catalogue requires 120 boxes of a particular type of paper that is not regularly used by X Co although a limited amount remains in X Co’s inventory from a similar job. The cost when X Co bought the paper two years ago was $17 per box and there are 50 boxes in inventory. The boxes could be sold for $14 each or could be purchased in the market for $22 each. Required: What is the relevant cost of the paper to be used in printing the catalogue (to the nearest whole number)? Solution: Scrap proceeds forgone of boxes held in inventory (50 × $14) Purchase price of remaining boxes (70 × $22) Total 700 1,540 2,240 Relevant cost of labour and variable overheads Question: A Co is deciding whether to undertake a new contract. 15 hours of labour are required for the contract. Labour is currently at full capacity producing X. Cost card for X $ per unit Direct materials (10kg @ $2) 20 Direct labour (5 hours @ $6) 30 Selling price 75 Contribution 25 Required: What is the cost of using 15 hours of labour for the contract (to the nearest whole number)? Solution: Variable cost of labour Lost contribution from product X Total (15hrs @ $6) (15hrs × $25/5) $ 90 75 165 Relevant cost of machinery • Repair costs arising from use • Hire charges • Fall in resale value arising from use Question: J Co was intending to sell one of its production machines for $10,000 as it no longer has a use for it. The machine is being depreciated at $2,000 per annum. The variable running costs for the machine are $500 per annum. The company has been approached by a new customer and asked to manufacture one million components for a one-off order. These components can only be manufactured on this machine and production will take place over the coming year. It has been estimated that the machine could be sold for $6,000 in one year’s time. Required: What is the relevant cost of using the machine to produce the components (to the nearest whole number)? Solution: Reduction in sales proceeds of machine ($10,000 - $6,000) Variable running costs of machine Total $ 4,000 500 4,500