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5.3. Tire Cost Estimation

Interactive Audio Lesson

Session 1: Initial and Annualized Costs

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Sarah
SarahInstructor

Today, we are going to learn how to calculate the initial costs of a machine and convert them into annualized costs using a formula. Can anyone tell me what we mean by annualized costs?

Noah
Noah

Is that like spreading the cost over the years to see how much it costs each year?

Sarah
SarahInstructor

Exactly! We use the formula A=I×i(1+i)n(1+i)n−1A = I \times \frac{i(1+i)^n}{(1+i)^n - 1} where 'I' is the initial cost, 'i' is the interest rate, and 'n' is the number of years. Let's plug in ₹2,89,00,000 for 'I', 0.08 for 'i', and 12.5 for 'n'. What do you get?

Isabella
Isabella

When I calculate, I get ₹ 37,41,844.41 per year.

Sarah
SarahInstructor

That's correct! Remember this as it is crucial for budgeting in projects. An acronym to recall is 'AC' for Annualized Cost!

Akash
Akash

So, AC helps us know the yearly financial impact rather than just the upfront cost?

Sarah
SarahInstructor

Exactly right! You’ve nailed it. Let’s move on to annualizing the salvage value.

Session 2: Salvage Value and Its Calculation

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Robert
RobertInstructor

Now, let's look at salvage values. Why do we estimate the salvage value in terms of an annual figure?

Ananya
Ananya

I guess it helps us understand what we can expect to recover when the machine is no longer used?

Robert
RobertInstructor

Precisely! We convert this future value into annual costs too using the formula Asalvage=S×i(1+i)n(1+i)n−1A_{salvage} = S \times \frac{i(1+i)^n}{(1+i)^n - 1}. So, if our salvage value is 20% of ₹2,89,00,000, how much do we get?

Noah
Noah

That’s ₹57,80,000. So when I apply the formula, I get an annual cost of about ₹2,85,968.88.

Robert
RobertInstructor

Great job! That means for planning purposes, this is the amount we should factor into our costs yearly. Remember, the concept 'SV' stands for Salvage Value might help!

Session 3: Depreciation Calculation

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Sarah
SarahInstructor

Let’s discuss how we calculate hourly depreciation. Who can remind the class what elements come into play here?

Isabella
Isabella

We subtract the annualized salvage from the annualized initial cost and then divide by the total hours of operation for the machine!

Sarah
SarahInstructor

Right! If we take the annualized cost of ₹37,41,844.41 and subtract ₹2,85,968.88 and divide it by 1600 hours, what do we get as our depreciation cost per hour?

Akash
Akash

That works out to ₹2,159.92/hr.

Sarah
SarahInstructor

Excellent! Remember DS as Depreciation Schedule which can help you relate such concepts in calculations!

Session 4: Total Ownership Cost

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Robert
RobertInstructor

Now let’s get into total ownership costs known as TOC. We include components like depreciation, insurance, and taxes. Can anyone tell me the percentages used for these?

Ananya
Ananya

I think it's 2% for insurance and 3% for taxes, both based on the initial cost!

Robert
RobertInstructor

That’s correct! By calculating those into hourly values, we can understand the financial situation better. Who can calculate the hourly insurance?

Noah
Noah

Using your amounts, it would be ₹36.12/hr.

Robert
RobertInstructor

Awesome job! It’s important to sum these components diligently. Remember ‘TOC’ to stand for Total Ownership Cost!

Session 5: Operating Costs and Final Calculations

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Sarah
SarahInstructor

Finally, we estimate our operating costs! Who remembers the fuel consumption factor we mentioned earlier?

Isabella
Isabella

It's 0.14 liters per horsepower per hour!

Sarah
SarahInstructor

Exactly! If we adjust for our working conditions along with the operating factor, how do we calculate fuel consumption?

Akash
Akash

By multiplying the operating factor, horsepower, and the fuel consumption factor, we get the fuel consumed.

Sarah
SarahInstructor

Well explained! At the end of it, we combine all these operational and ownership costs to derive a total cost per hour. Don't forget 'OC' for Operating Cost as a quick memory tool!