A manufacturing company is considering a capacity expansion
investment at the cost of $49661 with no salvage value. The
expansion would enable the company to produce up to 30,000 parts
per year and the useful life of the additional capacity is seven
years. Each part would generate $2.94 net profit and annual
operating and maintenance costs are estimated at $5837 per year.
The market demand for the parts is unlimited. All parts produced
will be sold. The MARR of the firm is 10%.
What is the minimum annual production rate to make this investment
justified?
Year | Cash outflows | PVF @10% | Present value | |||
0 | -49661 | 1 | -49661 | |||
1 | -5837 | 0.909091 | -5306.36 | |||
2 | -5837 | 0.826446 | -4823.97 | |||
3 | -5837 | 0.751315 | -4385.42 | |||
4 | -5837 | 0.683013 | -3986.75 | |||
5 | -5837 | 0.620921 | -3624.32 | |||
6 | -5837 | 0.564474 | -3294.83 | |||
7 | -5837 | 0.513158 | -2995.3 | |||
Present worth of cassh outflows | -78077 | |||||
Present annuity factor of 7 years | 4.868 | |||||
Equivalent Aannual cash outflows | -16038.8 | |||||
Divide: Profit per unit | 2.94 | |||||
Number of units to be sold annually | -5455.38 | |||||
The company must produce and sell 5456 unist to justify the investment |
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