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

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**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.
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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