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Rubbermaid Plastics plans to purchase a rectilinear robot for pulling parts from an injection molding machine. Because of the robot’s speed, the company expects production costs to decrease by $100,000 per year in each of the first 3 years and by $200,000 per year in the next 2 years. What is the present worth of the cost savings if the company uses an interest rate of 15% per year on such investments?

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Answer:

The present worth of the cost savings if the company uses an interest rate of 15% per year on such investments is $442108.5079.

Step-by-step explanation:

Present Worth = $100,000/(1 + 15%) + $100,000/(1 + 15%)^2 + $100,000/(1 + 15%)^3 + $200,000/(1 + 15%)^4 + $200,000/(1 + 15%)^5

= $442108.5079

Therefore, the present worth of the cost savings if the company uses an interest rate of 15% per year on such investments is $442108.5079.

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