Sync Diamonds makes synthetic diamonds by treating carbon in a very
technologically advanced and secret process. Each diamond can sell for R100.
The material cost for a diamond is R40. The fixed costs incurred each year for
factory upkeep and administrative expenses are R200 000. The machinery
costs R1 million and it is depreciated straight-line over 10 years to a salvage
value of zero.
i) What is the accounting break-even level of sales in terms of the number
of diamonds sold?
ii) What is the NPV break-even level of sales assuming a tax rate of 35%,
a 10-year project life, and a discount rate of 12%?
iii) Would the accounting break-even point in the first year of operation
increase or decrease if the machinery were depreciated over a five-year
period? Motivate your answer.
iv) Would the NPV break-even point increase or decrease if the machinery
were depreciated over a five-year period?
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