CMA Final · Strategic Cost Management · Asset Life Cycle Costing
Two machines are considered by Narmada Textiles at a 10% discount rate. Machine P costs Rs 5,00,000, runs 3 years with annual operating cost Rs 1,00,000, and no salvage. Machine Q costs Rs 3,00,000, runs 2 years with annual operating cost Rs 1,50,000, and no salvage. Annuity factors at 10%: 2 years 1.736, 3 years 2.487. Equivalent annual cost of Machine P is closest to:
Machine P's equivalent annual cost is about Rs 3,01,000. Its present value of cost is Rs 5,00,000 plus Rs 1,00,000 times 2.487, giving Rs 7,48,700, and dividing by the three-year annuity factor of 2.487 converts this into an annual equivalent.
- ARs 2,01,000 per year
- BRs 3,01,000 per yearCorrect
- CRs 2,50,000 per year
- DRs 3,33,000 per year
Explanation
PV of cost of P = 5,00,000 + 1,00,000 x 2.487 = 7,48,700. EAC = 7,48,700 / 2.487 = about Rs 3,01,000. Rs 2,01,000 is obtained by dividing only the purchase cost... actually by omitting the purchase cost's annualisation; Rs 3,33,000 is the simple undiscounted average of costs.
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