Larson Manufacturing is considering purchasing a new injection-molding machine for $370,000 to expand its production capacity. It will cost an additional $15,000 to do the site preparation. With the new injection-molding machine installed, Larson Manufacturing expects to increase its revenue by $83,000 per year. The machine will be used for six years, with an expected salvage value of $60,000. At an interest rate of 12%, would the purchase of the injection-molding machine be justified? Equal Payment Series Single Payment Compound Present Amount Sinking Present Worth Compound Amount Factor Fund Worth Capital Recovery Factor Factor Factor Factor Factor (F/P, i, N) (P/F, i, N) (F/A, i, N) (A/F, i, N) (P/A, i, N) (A/P, i, N) 1.1200 0.8929 1.0000 1.0000 0.8929 1.1200 1.2544 0.7972 2.1200 0.4717 1.6901 0.5917 1.4049 0.7118 3.3744 0.2963 2.4018 0.4163 NI23

ENGR.ECONOMIC ANALYSIS
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### Investment Analysis for Injection-Molding Machine

Larson Manufacturing is considering purchasing a new injection-molding machine for $370,000 to expand its production capacity. The initial setup will also require an additional $15,000 for site preparation. The new injection-molding machine is projected to increase the company’s revenue by $83,000 per year. The machine has an expected lifespan of six years with a salvage value of $60,000. Given an interest rate of 12%, we need to determine if the purchase of this injection-molding machine is justified.

#### Financial Factors and Calculations

To evaluate this decision, we utilize various financial factors:

1. **Compound Amount Factor \((F/P, i, N)\)**
2. **Present Worth Factor \((P/F, i, N)\)**
3. **Sinking Fund Factor \((A/F, i, N)\)**
4. **Present Worth Factor \((P/A, i, N)\)**
5. **Capital Recovery Factor \((A/P, i, N)\)**

These factors are tabulated below for an interest rate of 12%, up to 10 years.

#### Financial Factor Table

|  N  | Single Payment                             | Equal Payment Series                          |
|:---:|--------------------------------------------|----------------------------------------------|
|     | Compound Amount Factor <br> (F/P, i, N)    | Present Worth Factor <br> (P/F, i, N)        | Compound Amount Factor <br> (F/A, i, N)    | Sinking Fund Factor <br> (A/F, i, N)        | Present Worth Factor <br> (P/A, i, N)        | Capital Recovery Factor <br> (A/P, i, N)      |
|:--:|:------------------------------------------:|:--------------------------------------------:|:------------------------------------------:|:------------------------------------------:|:------------------------------------------:|:------------------------------------------:|
|  1  | 1.1200                                     | 0.8929                                       | 1.0000                                     | 1.0000                                     | 0.8929                                     | 1.1200                                     |
|  2  | 1.2544                                     | 0.7972                                       | 2.1200                                     | 0.4717                                     | 1.6901                                     | 0.5917                                     |
|
Transcribed Image Text:### Investment Analysis for Injection-Molding Machine Larson Manufacturing is considering purchasing a new injection-molding machine for $370,000 to expand its production capacity. The initial setup will also require an additional $15,000 for site preparation. The new injection-molding machine is projected to increase the company’s revenue by $83,000 per year. The machine has an expected lifespan of six years with a salvage value of $60,000. Given an interest rate of 12%, we need to determine if the purchase of this injection-molding machine is justified. #### Financial Factors and Calculations To evaluate this decision, we utilize various financial factors: 1. **Compound Amount Factor \((F/P, i, N)\)** 2. **Present Worth Factor \((P/F, i, N)\)** 3. **Sinking Fund Factor \((A/F, i, N)\)** 4. **Present Worth Factor \((P/A, i, N)\)** 5. **Capital Recovery Factor \((A/P, i, N)\)** These factors are tabulated below for an interest rate of 12%, up to 10 years. #### Financial Factor Table | N | Single Payment | Equal Payment Series | |:---:|--------------------------------------------|----------------------------------------------| | | Compound Amount Factor <br> (F/P, i, N) | Present Worth Factor <br> (P/F, i, N) | Compound Amount Factor <br> (F/A, i, N) | Sinking Fund Factor <br> (A/F, i, N) | Present Worth Factor <br> (P/A, i, N) | Capital Recovery Factor <br> (A/P, i, N) | |:--:|:------------------------------------------:|:--------------------------------------------:|:------------------------------------------:|:------------------------------------------:|:------------------------------------------:|:------------------------------------------:| | 1 | 1.1200 | 0.8929 | 1.0000 | 1.0000 | 0.8929 | 1.1200 | | 2 | 1.2544 | 0.7972 | 2.1200 | 0.4717 | 1.6901 | 0.5917 | |
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