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2026年靠譜的干燥上料一體注塑輔機(jī)/體積式計(jì)量注塑輔機(jī)怎么聯(lián)系實(shí)用公司采購(gòu)參考
2026-02-10 07:58:05

To determine which project the company should choose based on the payback period method, we first calculate the payback period for each project. The payback period is the time it takes for cumulative cash inflows to recover the initial investment.

Step 1: Calculate Payback Period for Project A

Initial investment: $100,000
Annual cash inflow: $35,000

  • Year 1: Cumulative inflow = $35,000 → Remaining investment = $100k - $35k = $65k
  • Year 2: Cumulative inflow = $35k + $35k = $70k → Remaining investment = $100k - $70k = $30k
  • Year 3: Fraction of Year 3 needed to recover $30k = $\frac{30k}{35k}$ ≈ 0.857 years

Total Payback Period for A: $2 + 0.857 = 2.86$ years (approx.)

Step 2: Calculate Payback Period for Project B

Initial investment: $100,000
Cash inflows: Year1=$45k, Year2=$45k, Year3=$20k

  • Year1: Cumulative inflow = $45k → Remaining = $100k - $45k = $55k
  • Year2: Cumulative inflow = $45k + $45k = $90k → Remaining = $100k - $90k = $10k
  • Year3: Fraction of Year3 needed to recover $10k = $\frac{10k}{20k}$ = 0.5 years

Total Payback Period for B: $2 + 0.5 = 2.5$ years

Conclusion

The payback period method favors the project with the shorter payback period (faster recovery of investment).

Project B has a shorter payback period (2.5 years) than Project A (2.86 years).

Answer: The company should choose Project B based on the payback period method.

$\boxed{Project B}$



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