Two mutually exclusive design alternatives are being considered. The estimated cash flows for each alternative are given below. The MARR is 12% per year. The decision-maker can select one these alternatives or decide to select none of them. Make a recommendation based on the following methods. Design Y Design Z $140,000 $275,000 $51,725 $84,946 $9,672 $18,059 15 years $14,700 $149,103 Investment cost Annual revenue Annual cost Useful life Salvage value Net PW CU 15 years $33,000 $186,587

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Chapter1: Making Economics Decisions
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**Investment Decision Analysis: Evaluating Design Alternatives**

**Overview:**
Two mutually exclusive design alternatives are evaluated based on their estimated cash flows. The Minimum Attractive Rate of Return (MARR) is set at 12% per annum. The decision-maker has the option to choose one of these alternatives or neither. The decision is informed using several financial methods.

**Design Specifications:**

- **Design Y:**
  - Investment Cost: $140,000
  - Annual Revenue: $51,725
  - Annual Cost: $9,672
  - Useful Life: 15 years
  - Salvage Value: $14,700
  - Net Present Worth (PW): $149,103

- **Design Z:**
  - Investment Cost: $275,000
  - Annual Revenue: $84,946
  - Annual Cost: $18,059
  - Useful Life: 15 years
  - Salvage Value: $33,000
  - Net Present Worth (PW): $186,587

**Recommendation Criteria:**

a. **Present Worth (PW) Method:**
   - Determine which design has a higher PW value to determine economic efficiency.

b. **Benefit-Cost (B/C) Ratio:**
   - Calculate the modified B/C ratio for both designs and round to two decimal places.
   - Decide which design is more economically favorable based on this ratio.

c. **Incremental B/C Ratio:**
   - Compute the incremental B/C ratio and round to two decimal places.
   - Use this to conclude which design is more economical according to the B/C method.

d. **Discounted Payback Period:**
   - Calculate the discounted payback period for both designs in years, rounded to one decimal place.
   - Select the preferred design based on this method.

e. **Payback Period Method Consideration:**
   - Why might this method differ from other methods in its recommendations?
     - Option A: The method overlooks cash flows after the payback period.
     - Option B: The method places greater importance on cash flows following the payback period.

These analyses will guide the decision-maker in determining the most economically viable design for implementation based on specified financial metrics and considerations.
Transcribed Image Text:**Investment Decision Analysis: Evaluating Design Alternatives** **Overview:** Two mutually exclusive design alternatives are evaluated based on their estimated cash flows. The Minimum Attractive Rate of Return (MARR) is set at 12% per annum. The decision-maker has the option to choose one of these alternatives or neither. The decision is informed using several financial methods. **Design Specifications:** - **Design Y:** - Investment Cost: $140,000 - Annual Revenue: $51,725 - Annual Cost: $9,672 - Useful Life: 15 years - Salvage Value: $14,700 - Net Present Worth (PW): $149,103 - **Design Z:** - Investment Cost: $275,000 - Annual Revenue: $84,946 - Annual Cost: $18,059 - Useful Life: 15 years - Salvage Value: $33,000 - Net Present Worth (PW): $186,587 **Recommendation Criteria:** a. **Present Worth (PW) Method:** - Determine which design has a higher PW value to determine economic efficiency. b. **Benefit-Cost (B/C) Ratio:** - Calculate the modified B/C ratio for both designs and round to two decimal places. - Decide which design is more economically favorable based on this ratio. c. **Incremental B/C Ratio:** - Compute the incremental B/C ratio and round to two decimal places. - Use this to conclude which design is more economical according to the B/C method. d. **Discounted Payback Period:** - Calculate the discounted payback period for both designs in years, rounded to one decimal place. - Select the preferred design based on this method. e. **Payback Period Method Consideration:** - Why might this method differ from other methods in its recommendations? - Option A: The method overlooks cash flows after the payback period. - Option B: The method places greater importance on cash flows following the payback period. These analyses will guide the decision-maker in determining the most economically viable design for implementation based on specified financial metrics and considerations.
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