The Wu Lighting Company is considering replacing an old, relatively inefficient vertical drill machine that was purchased 7 years ago at a cost of $14,000. The machine had an original expected life of 12 years and no salvage value at the end of that period. The divisional manager reports that a new machine can be purchased. Over its five-year life, the new machine will expand sales from $11,000 to $19,000 a year and will reduce the usage of labor and raw materials sufficiently to cut annual operating costs from $8,000 to $2,000. The new machine has an estimated salvage value of $1,900 at the end of its five-year life. The old machine`s current market value is $1,900; the firm`s MARR is 18%. What price of the new machine will make the Wu Lighting Company indifferent between keeping the old machine and purchasing a new machine? Enter your answer as positive number. Hint: think of comparing the present worth of the two options
Present value of Cash inflows: | ||||||
Annual Increase in Sales revenue | 25017.6 | |||||
($ 8000 * Annuity factor for 5 years i.e. 3.1272) | ||||||
Annual Savings in labour cost | 18763.2 | |||||
($ 6000 *Annuity factor for 5 yrs i.e.3.1272) | ||||||
Present value of Salvage Value of new machine | 830.49 | |||||
($ 1900* PVf for Year-5 i.e. 0.4371) | ||||||
Salvage value realised of oldmachinery | 1900 | |||||
Present value of inflows | 46511 | |||||
Hence, the price to be paid for new machine is $ 46511 to be indifferent. |
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