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With the estimates shown below, Sarah needs to determine the trade-in (replacement) value of machine X that will render its AW equal to that of

With the estimates shown below, Sarah needs to determine the trade-in (replacement) value of machine X that will render its AW equal to that of machine Y at an interest rate of 11% per year. Determine the replacement value.

Machine X Machine Y
Market Value, $ ? 82,000
Annual Cost, $ per Year 58,000 40,000 for year 1, increasing by 2000 per year thereafter.
Salvage Value 10,500 23,000
Life, Years 3 5

The replacement value is $______.

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