Math Problem Statement

Tesla management are trying to decide whether to keep an older piece of machinery or buy a replacement. Management was presented with the following information to assist in their decision:

The old machine was purchased three years ago for $720,000 and has a current book value using straight-line depreciation of $400,000. The old machine incurs operating expenses of $60,000 per year. The current disposal value of the old machine is $170,000; if it is kept nine more years, its remaining value would be $20,000. The replacement machine would cost $480,000 and have a useful life of nine years. The replacement machine has an expected salvage value of $130,000 after nine years. The replacement machine would require $26,000 per year in operating expenses. Required Calculate the total costs in keeping the old machine. The cost of new machine is $584,000

Solution

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Math Problem Analysis

Mathematical Concepts

Depreciation
Opportunity Cost
Operating Costs
Cost Comparison

Formulas

Operating Costs: Annual Operating Expenses × Number of Years
Opportunity Cost: Current Disposal Value - Remaining Value
Total Costs: Operating Costs + Opportunity Cost + Depreciation Loss

Theorems

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Suitable Grade Level

College Level (Business, Finance, Accounting)