2. Comparison of Loaders

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 chunk, we calculate the depreciation for the first year of a loader. The depreciation is determined using a straight-line method where 40% (0.4) of the initial book value is deducted. Here, the initial book value of the loader is 28,00,000 rupees. By multiplying this figure with the depreciation rate, we can find the total depreciation for that year, which amounts to 11,20,000 rupees.

Imagine you buy a new car for 28,00,000 rupees. If cars depreciate at 40% in the first year, you'd lose 11,20,000 rupees in value. So, after a year, the car is worth 16,80,000 rupees.

So, now you calculate the book value at the end of first year, so what is the book value at the beginning of year that is nothing but your purchase price of the machine 28 lakh minus the depreciation for the first year. That is nothing but 11,20,000, that gives you the book value at the end of the first year as 16,80,000.

To calculate the book value at the end of the first year, we subtract the depreciation (11,20,000 rupees) from the initial purchase price (28,00,000 rupees). The resulting book value is 16,80,000 rupees, which represents the machine's worth after one year of use, reflecting its reduced value due to depreciation.

Continuing the car example, if you bought it for 28,00,000 rupees and it depreciated to 11,20,000 rupees in a year, you would find its value after one year to be 16,80,000 rupees.

For the second year the depreciation is nothing but D2 is 0.4 into book value the end of first year, D = 0.4 × 16,80,000 = 6,72,000 rupees

In the second year, we apply the same depreciation rate (40%) to the new book value found at the end of the first year (16,80,000 rupees). This results in a second-year depreciation of 6,72,000 rupees, further reducing the machine's book value.

Using the car analogy again, if your car is now worth 16,80,000 rupees, it will lose 40% of that in value during the second year, costing you 6,72,000 rupees.

Now calculate the book value at the end of second year, it is nothing but book value at the end of the first year minus the depreciation for the second year. So, what is the book value at the end of the first year? It is nothing but 16,80,000 minus your depreciation for the second year is 6,72,000 that gives me the book value at the end of second year as 10,80,000.

We again find the book value at the end of the second year by subtracting the second-year depreciation (6,72,000 rupees) from the book value at the end of the first year (16,80,000 rupees). The resulting book value is now 10,80,000 rupees, indicating the machine's worth after two years of use.

With the car, if it was valued at 16,80,000 rupees after the first year and depreciates again by 6,72,000 rupees in the second year, its new value would be 10,80,000 rupees.

Now you can estimate the annual cost by adding the operating and the maintenance cost as the depreciation. When you add column 2 and the column 3 you will get the annual costs for every year. So, what is the annual cost for the first year? Your operating in the 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 determine the total annual cost of operating the loader, we add the annual depreciation and the operating and maintenance costs. For the first year, that is 11,20,000 rupees (depreciation) plus 12,00,000 rupees (operating cost), totaling 23,20,000 rupees. This gives companies a clearer picture of how much the loader costs them each year.

Think of budgeting for a car: if it costs 11,20,000 rupees to 'wear out' and you spend 12,00,000 rupees on maintenance, your total cost for the car this year comes to 23,20,000 rupees.

Then you can calculate the cumulative cost, then find the average annual cumulative cost. So, how will you calculate the average annual cumulative cost? It is nothing but your the cumulative cost divided by the cumulative usage of the machine.

After calculating the annual costs for each year, you will tally these to get the cumulative cost over time. The average annual cumulative cost is then calculated by dividing the cumulative cost by the total units of the machine used (for instance, how many times it was operated). This provides a measure of efficiency and expenditure tied to each unit of use.

It's like tracking how much you spend on gas and oil changes over several years, then dividing that by the number of miles you drove. This tells you how much each mile costs you to drive your car.

So, the economic life of the machine is 9th year for the proposed loader, because the cost is minimum 9th year. So, the economic life of the proposed loader is 9th year but for the old loader the economic life is 8th year.

The economic life of a machine refers to the period in which it remains most cost-efficient compared to its operational costs and associated expenditures. For the proposed loader, this is identified in the 9th year where the costs are minimized, while the older loader reaches this point in the 8th year. Understanding economic life helps businesses know when it’s most sensible to retain or replace equipment.

It's similar to understanding the best time to sell a used car: if you know that its value drops significantly after a certain number of years, you’ll want to sell it before that happens to get the best price.

So, you can see here, here it is 17,99,000, here it is 17,47,000. So, it justifies the replacement of your proposed loader with the old loader because the minimum average annual cumulative cost for the challenger is lesser when compared to the old loader which is higher.

When comparing the average annual cumulative costs between the proposed loader and the old loader, it's evident that the proposed loader offers lower costs for each year, justifying the decision to replace the old loader. A practical analysis like this underlines the financial rationale behind replacing machinery before operating costs exceed the value offered by newer models.

Think about upgrading a phone: if the newer model costs less to operate—like cheaper service plans or better battery life—it makes sense to switch rather than stick with a more expensive older model.

So, 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 clear decision on whether to replace machinery hinges on the comparison between the estimated annual cost of the current equipment for the following year and the minimum average annual cumulative cost of a new machine. If annual costs begin to exceed the latter, it's indicative that a replacement should occur.

It's like deciding whether to continue paying for an old subscription service that no longer offers good value compared to a new one that costs less but provides more features.

Since your annual cost the estimated cost for the current loader for the next year is very much higher than the proposed loader. So, it implies that you have to replace immediately.

When evaluating the estimated annual costs of the current loader against the proposed new loader, if the former significantly exceeds the latter, this substantiates a prompt replacement decision. Hence, businesses should actively monitor these cost comparisons to stay efficient.

Imagine paying for an old gym membership that costs significantly more without offering improved services compared to a newer gym down the road. The high cost of the old membership suggests it's time to switch.

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