Two mutually exclusive design alternatives are being considered. The estimated cash flows for each alternative are given below. The MARR is 10% per year. The decision-maker can select one of these alternatives or decide to select none of them. Make a recommendation based on the following methods. Design Y Investment cost Annual revenue Annual cost Useful life Salvage value Net PW is more economical. a. Based on PW method, Design b. The modified B/C ratio of Design Y is The modified B/C ration of Design Z is $140,000 $43,705 $7,881 15 years $14,700 $135,999 Design Z $275,000 $86,582 $27,683 15 years $33,000 $180,890 (Round to two decimal places) (Round to two decimal places) c. The incremental B/C ratio is (Round to two decimal places) Therefore, based on the B/C ratio method, Design is more economical
Two mutually exclusive design alternatives are being considered. The estimated cash flows for each alternative are given below. The MARR is 10% per year. The decision-maker can select one of these alternatives or decide to select none of them. Make a recommendation based on the following methods. Design Y Investment cost Annual revenue Annual cost Useful life Salvage value Net PW is more economical. a. Based on PW method, Design b. The modified B/C ratio of Design Y is The modified B/C ration of Design Z is $140,000 $43,705 $7,881 15 years $14,700 $135,999 Design Z $275,000 $86,582 $27,683 15 years $33,000 $180,890 (Round to two decimal places) (Round to two decimal places) c. The incremental B/C ratio is (Round to two decimal places) Therefore, based on the B/C ratio method, Design is more economical
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:**Two Mutually Exclusive Design Alternatives**
Two mutually exclusive design alternatives are being considered. The estimated cash flows for each alternative are given below. The Minimum Attractive Rate of Return (MARR) is 10% per year. The decision-maker can select one of these alternatives or decide to select none of them. Make a recommendation based on the following methods.
| | **Design Y** | **Design Z** |
|-----------------------|--------------|---------------|
| **Investment cost** | $140,000 | $275,000 |
| **Annual revenue** | $43,705 | $86,582 |
| **Annual cost** | $7,881 | $27,683 |
| **Useful life** | 15 years | 15 years |
| **Salvage value** | $14,700 | $33,000 |
| **Net PW** | $135,999 | $180,890 |
### Recommendations:
a. **Based on PW method**: Design ___ is more economical.
b. **Modified B/C Ratio**:
- The modified B/C ratio of Design Y is ___ (Round to two decimal places).
- The modified B/C ratio of Design Z is ___ (Round to two decimal places).
c. **Incremental B/C Ratio**:
- The incremental B/C ratio is ___ (Round to two decimal places).
- Therefore, based on the B/C ratio method, Design ___ is more economical.
d. **Discounted Payback Period**:
- The discounted payback period of Design Y is ___ years (Round to one decimal place).
- The discounted payback period of Design Z is ___ years (Round to one decimal place).
- Therefore, based on the payback period method, Design ___ would be preferred.
### Additional Insight:
e. **Why might the recommendations based on the payback period method differ from the other two methods?**
- **A.** Because the payback period method ignores the cash flows after the payback period.
- **B.** Because the payback period gives more weight to the cash flows after the payback period.
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