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Assume that both machines have no resale value and future costs are not discounted.

Machine A costs Rs. 45,000 and the operating costs are estimated at Rs. 1,000 for the first year, increasing by Rs. 10,000 per year in the second and subsequent years. Machine B costs Rs. 50,000 and operating costs are Rs. 2,000 for the first year, increasing by Rs. 4,000 per year in the second and subsequent years. If we now have a machine of type A, should we replace it with B? If so, when? Assume that both machines have no resale value and future costs are not discounted. -

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Machine A: Cost (C) = Rs. 45000

Year Resale value (S) Purchase price resale value (C-S) Running cost Σ Maintenance costs Total costs (purchase price resale value + Σ Maintenance costs) Average annual cost
1 0 45000 1000 1000 46000 46000
2 0 45000 11000 12000 57000 28500
3 0 45000 21000 33000 78000 26000
4 0 45000 31000 64000 105000 26250

Machine B: Cost (C) = Rs. 50000

Year Resale value (S) Purchase price resale value (C-S) Running cost Σ Maintenance costs Total costs (purchase price resale value + Σ Maintenance costs) Average annual cost
1 0 50000 2000 2000 52000 52000
2 0 50000 6000 8000 58000 29000
3 0 50000 10000 18000 68000 22666.67
4 0 50000 14000 32000 82000 20500
5 0 50000 18000 50000 100000 20000
6 0 50000 22000 72000 122000 20333.33
  • Yes, machine A should be replaced with machines B, since the minimum average annual cost of machines B is less than that of machines A.

  • Since we already have machine A, we should continue operating it till its optimal period, i.e. 3 years, since the annual average cost is minimum. After 3 years, it should be replaced with machine B.

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