28. Madson's is analyzing two projects for the future. Assume that only one project can be selected. Project X Project Y Cost of $30,000 $30,000 Machine Net Cash Flow Year 1 12,000 2,000 Year 2 12,000 12,000 13,000 13,000 Year 3 Year 4 10,000 Year 5 If the company is using the payback period method and requires payback within three years or less, which project should be selected? (Ignore taxes.) A. Project X B. Project Y C. Either Project X or Y is acceptable D. Neither Project X nor Y is acceptable

FINANCIAL ACCOUNTING
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Chapter1: Financial Statements And Business Decisions
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### Project Analysis: Payback Period Method

Madson's is evaluating two potential projects, labeled Project X and Project Y, for future investment. Assume that only one project can be selected. The cost of the machine for both projects is $30,000. The net cash flows for each project over a period of five years are as follows:

#### Project X
- **Cost of Machine**: $30,000
- **Net Cash Flows**:
  - Year 1: $12,000
  - Year 2: $12,000
  - Year 3: $12,000
  - Year 4: $0
  - Year 5: $0

#### Project Y
- **Cost of Machine**: $30,000
- **Net Cash Flows**:
  - Year 1: $2,000
  - Year 2: $13,000
  - Year 3: $13,000
  - Year 4: $10,000
  - Year 5: $0

#### Payback Period Analysis
If the company is using the payback period method and requires a payback within three years or less, the selection will be based on which project recovers its initial investment within that time frame (ignoring taxes).

To determine the payback period:
- **Project X**:
  - Year 1: $12,000
  - Year 2: $12,000
  - Year 3: $12,000
  - **Cumulative Cash Flow at end of Year 3**: $36,000
  
  Project X recovers its initial investment of $30,000 within three years.
  
- **Project Y**:
  - Year 1: $2,000
  - Year 2: $13,000
  - Year 3: $13,000
  - **Cumulative Cash Flow at end of Year 3**: $28,000
  - Year 4: $10,000
  - **Cumulative Cash Flow at end of Year 4**: $38,000
  
  Project Y does not recover its initial investment of $30,000 within three years, but it does by Year 4.

Based on the payback period method, which project should be selected? (Ignore taxes.)

- A. Project X
- B. Project Y
Transcribed Image Text:### Project Analysis: Payback Period Method Madson's is evaluating two potential projects, labeled Project X and Project Y, for future investment. Assume that only one project can be selected. The cost of the machine for both projects is $30,000. The net cash flows for each project over a period of five years are as follows: #### Project X - **Cost of Machine**: $30,000 - **Net Cash Flows**: - Year 1: $12,000 - Year 2: $12,000 - Year 3: $12,000 - Year 4: $0 - Year 5: $0 #### Project Y - **Cost of Machine**: $30,000 - **Net Cash Flows**: - Year 1: $2,000 - Year 2: $13,000 - Year 3: $13,000 - Year 4: $10,000 - Year 5: $0 #### Payback Period Analysis If the company is using the payback period method and requires a payback within three years or less, the selection will be based on which project recovers its initial investment within that time frame (ignoring taxes). To determine the payback period: - **Project X**: - Year 1: $12,000 - Year 2: $12,000 - Year 3: $12,000 - **Cumulative Cash Flow at end of Year 3**: $36,000 Project X recovers its initial investment of $30,000 within three years. - **Project Y**: - Year 1: $2,000 - Year 2: $13,000 - Year 3: $13,000 - **Cumulative Cash Flow at end of Year 3**: $28,000 - Year 4: $10,000 - **Cumulative Cash Flow at end of Year 4**: $38,000 Project Y does not recover its initial investment of $30,000 within three years, but it does by Year 4. Based on the payback period method, which project should be selected? (Ignore taxes.) - A. Project X - B. Project Y
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