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Today, we will discuss how depreciation affects the cumulative cost of machinery. Let's start with the first year's depreciation. Can anyone tell me how we calculate it?
We multiply the book value by the depreciation rate.
Exactly! In our case, the book value is 28,00,000 rupees and the rate is 0.4. What's our depreciation for the first year?
It would be 11,20,000 rupees.
Correct! So, we subtract this depreciation from our initial book value to find the new book value at the end of the year. What do we get?
The book value at the end will be 16,80,000 rupees!
Great job! Remember, 'D=0.4*BV'. D stands for depreciation, and BV stands for book value. This formula is crucial as we move forward.
Why do we need to find this new book value?
That's important for calculating further costs in subsequent years of operation. Let's summarize: the key steps to find depreciation include knowing the initial book value and applying the correct rate.
Now that we calculated depreciation, let's move to annual costs. Can anyone recall how we determine total annual costs for the machine?
We add depreciation to the operational and maintenance costs.
Precisely! For example, for the first year, we have 11,20,000 rupees as depreciation and 12,00,000 rupees as operational costs. What’s the total?
That would total 23,20,000 rupees!
Correct! So, what can we say about the annual cost for the second year if operational costs increase to 12,60,000 rupees?
It would be 19,32,000 rupees, since depreciation is now 6,72,000.
Great thinking! Remember, by summing these costs, we establish a foundation for calculating total cumulative costs in the future.
How do we keep track of those cumulative costs?
Good question! The cumulative cost is just the sum of all annual costs up to that point. Let’s take a quick quiz on calculating these costs before moving to cumulative calculations!
Let’s talk about calculating average annual cumulative costs. How do we derive this value?
We divide the cumulative cost by cumulative usage, right?
Exactly! So, if after two years, the cumulative cost is 42,52,000 rupees and usage is two, what would our average cost be?
It would be 21,26,000 rupees.
Well done! Now why is knowing this average cost important for decision-making?
It helps in determining the economic life of the machine.
Correct! Identifying the year where this cost is minimized is crucial for deciding to replace the machine.
What’s the next step after finding that year?
Great follow-up! After identifying that year, we compare costs with other machines to determine if replacement is economically justified. Let's summarize this concept: we average cumulative costs to aid decisions regarding machinery life.
A decrease in an asset's value over time due to its usage and age.
Calculated by dividing cumulative costs by cumulated usage; aids in decision-making regarding equipment replacement.
Identifies the most cost-effective duration for keeping machinery in operation.
Includes both operational and depreciation costs to provide a complete financial picture.
If a machine has a book value of 28,00,000 rupees with a 40% depreciation rate, depreciation for year one is calculated as 28,00,000 x 0.4 = 11,20,000 rupees.
To find the total annual cost for the first year, add operating costs of 12,00,000 rupees to the first year's depreciation of 11,20,000 rupees, which equals 23,20,000 rupees.
When machines lose their worth, time for calculations and rebirth.
Imagine a farmer who buys a tractor for 50,000 rupees. After years of work, he checks how much it's worth now after some repairs and learnings - he sees it’s worth 30,000 rupees now. This is depreciation in action!
Remember 'C.R.E.W' - Cumulative costs, Replace when, Economic life, Worth it.
DAVE - Depreciation, Annual costs, Value change, Economic life.
Term
Depreciation
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Term
Cumulative Cost
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Term
Economic Life
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Term
Annual Cost
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The reduction in the value of an asset over time, used to account for wear and tear.
The value of an asset according to the balance sheet of a company, calculated as the purchase price minus depreciation.
The total cost incurred over time, which is the sum of annual costs.
The period during which an asset is expected to be economically viable.
The total expenses incurred in one year, including depreciation, operating, and maintenance costs.
The section explains how to calculate the average annual cumulative cost of machinery by evaluating depreciation and operating costs over time.
In this section, the method for calculating average annual cumulative costs associated with machinery is outlined. It explains how depreciation impacts book value, how to sum annual operating and maintenance costs, and guidance for determining the best time for equipment replacement based on cost analysis.
This section details the calculation of average annual cumulative costs for machinery based on depreciation and operating costs across multiple years. The depreciation for the first year is calculated as a percentage of the machine's book value. Specifically, depreciation is determined by multiplying the book value by a depreciation rate of 0.4, demonstrating this with an initial machine purchase price of 28,00,000 rupees. The depreciation for the first year amounts to 11,20,000 rupees, resulting in a book value of 16,80,000 rupees at the end of that year.
In the subsequent year, the same method is applied to find the new depreciation value, which leads to adjustments in the cumulative costs as well. The total annual cost for each year is determined by adding depreciation to annual operating and maintenance costs. For instance, the total annual cost for the second year is calculated to be 19,32,000 rupees.
The average annual cumulative cost is then computed by dividing the cumulative cost by the cumulative usage of the machine. The section outlines the economic life of the machine, which is identified as the year when the average annual cumulative cost reaches a minimum. Additionally, guidelines for replacing machines are discussed, particularly focusing on cost comparisons relative to a proposed new loader based on Dr. James Douglas's methods, such as the minimum cost approach and maximum profit method. These methods help in establishing when to replace an old loader with a new one based on either cost-effectiveness or profitability.