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A recently hired chief executive officer wants to reduce future production costs to improve the company’s...

A recently hired chief executive officer wants to reduce future production costs to improve the company’s earnings, thereby increasing the value of the company’s stock. The plan is to invest $76,000 now and $64,000 in each of the next 4 years to improve productivity. By how much must annual costs decrease in years 5 through 12 to recover the investment plus a return of 11% per year?

The annual cost decreases by_____ $

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Answer #1

The decrease in annual cost can be calculated by equating the present value of savings and cost.

The present value of costs is calculated below:

The present value of annual savings is calculated below:

Now, equate present values

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