2.2. Dr. James Douglas Guidelines for Replacement

So, depreciation for the first year is nothing but 0.4 into book value. D = 0.4 × 28,00,000 = 11,20,000 rupees.

In this step, we determine the depreciation for the first year of the machine. Depreciation represents the reduction in value of an asset over time. Here, we calculate it by multiplying the book value of the machine at the start (28 lakh) by the depreciation rate (0.4 or 40%). This results in a depreciation amount of 11,20,000 rupees.

Think of a new car. When you buy it, it loses value every year. If you bought a car for 28 lakh and it depreciates 40% in the first year, its value drops significantly, just like how we calculated depreciation for a machine.

Now, you calculate the book value at the end of first year. That is nothing but your purchase price of the machine 28 lakh minus the depreciation for the first year. That gives you the book value at the end of the first year as 16,80,000.

Next, we compute the book value at the end of the first year. This is done by subtracting the depreciation from the initial purchase price of the machine. As the machine initially cost 28 lakh and we calculated its depreciation to be 11,20,000, the remaining value (or book value) of the machine after one year is 16,80,000.

Continuing with the car example, if your car was valued at 28 lakh and lost 11,20,000 in the first year, you'd estimate its market value to be around 16,80,000 at the end of the same year.

For the second year, the depreciation is calculated as D2 = 0.4 × book value at the end of first year, D = 0.4 × 16,80,000 = 6,72,000 rupees.

The depreciation for the second year is based on the book value at the end of the first year. We again apply the 40% depreciation rate to this new value of 16,80,000, resulting in a depreciation of 6,72,000 for the second year. This illustrates that as the machine ages, the depreciation amount changes due to the declining book value.

Imagine your car depreciating further. After the first year, its value is 16,80,000. If it still continues to lose value at a consistent rate, the amount it depreciates in its second year will also be calculated based on this new value.

Now calculate the book value at the end of second year: 16,80,000 - 6,72,000 = 10,8000.

We determine the book value at the end of the second year by subtracting the calculated depreciation (6,72,000) from the book value at the end of the first year (16,80,000). The resulting value, 10,80000, is what the machine is estimated to be worth after two years of ownership.

It's like keeping track of your car's worth. If your car was valued at 16,80,000 at the end of the first year, and you know it lost a bit more value (6,72,000) in the second year, you'll find out that its worth is now about 10,80,000.

Your operating and maintenance cost for the first year is 12 lakh and your depreciation for the first year is 11,20,000, so your annual cost will be Annual cost of first year = 11,20,000 + 12,00,000 = 23,20,000 rupees.

To find the total annual cost of ownership for the machine, we add together the operating and maintenance costs and the depreciation. For the first year, this amounts to 11,20,000 (depreciation) + 12,00,000 (operating costs) = 23,20,000, which provides a clearer picture of how much it 'costs' to use the machine for that year.

Imagine maintaining your car. You have fuel costs, insurance, and repairs. If these add up to 12 lakh, and the car also loses 11,20,000 in value (depreciation), the total cost for the first year of having the car is the sum of both.

Average annual cumulative cost for the first year = Cumulative Cost / Cumulative Usage of the machine.

The average annual cumulative cost is found by dividing the total cumulative cost (23,20,000) by the cumulative usage of the machine over the years. This gives us an idea of how efficiently we are using the machine in terms of costs incurred relative to its usage.

Think of how much you spend on your car for each kilometer you drive. By analyzing the total expenses for maintenance and depreciation over the year against the total distance you drove, you can determine how economically you are using your vehicle.

The decision to replace the equipment is made when the estimated annual cost of the current machine for the next year exceeds the minimum average annual cumulative cost of the proposed machine.

According to Dr. James Douglas's guidelines, a company should consider replacing their equipment when the cost of maintaining the current machine exceeds that of a new machine that could perform the same tasks for a lower total cost. This decision-making process prioritizes economic efficiency.

Consider a business that has an old machine that they use to produce parts. If the costs of repairing and maintaining this machine exceed the costs of a new machine that produces at a higher efficiency and lower cost, it’s a clear indicator to replace the older machine for better profitability.

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