A production manager wants to upgrade the manufacturing system by adding a new machine. He found that one of two machines can effectively be used; their cost data are given in Table Q3 below:

**Table
Q3 Alternative Machines**

Cost Element |
M/C I |
M/C II |

First cost Anual Maintenance Operating cost/hr Useful life Salvage value |
£150,000 £3000 £1.6 6 years £10,000 |
£250,000 £3500 £1.2 8 years £25,000 |

Using an interest rate of 15% per year compounded annually, answer the following:

- What is the yearly working hours that make the two machines even? Comment. [10 Marks]
- Use the uniform annual costs to determine the more economical machine considering the machines work for 10 hrs/day, and 250 working hrs per year. Comment on using the EUAW to make the comparison.
- Use the sum-of-year digits and declining balance depreciation approaches to compare the depreciation charges over the 8-years life of machine II.
- Using the information in part (ii) above, if the MARR is 18%, which machine would be preferred?

2. A service company works in a major international airport runs fleet vans to transport people inside the port. New vans cost $50,000 and depreciated at a declining balance rate of 30%. Due to the continuous work of the van, the maintenance costs amount to $3000 in the first year; and double each year the fan is used such that the maintenance costs of year t are twice that of year (t-1) for t = 2,3,..8. Given a MAAR of 8%, find the economic life of a van

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