Cumulative Cost Per Hour Calculation for Obsolescence - 2.4 | 17. Downtime Cost Calculation | Construction Engineering & Management - Vol 1
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Understanding Downtime Costs

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0:00
Teacher
Teacher

Today, we’ll begin with downtime costs. Can anyone tell me why we need to calculate these costs?

Student 1
Student 1

To understand how much we’re losing when equipment is not operational, right?

Teacher
Teacher

Exactly! Downtime costs are critical for operational efficiency. For instance, with an equipment cost of 900 rupees per hour, our downtime cost would be a percentage of that.

Student 2
Student 2

So how do we calculate that percentage?

Teacher
Teacher

Good question! We multiply the equipment cost by the downtime percentage. For example, if it’s 3%, the downtime cost per hour becomes 27 rupees. Let's calculate the yearly downtime cost.

Student 3
Student 3

Would that be 27 multiplied by 2000 hours?

Teacher
Teacher

Exactly! That gives us 54,000 rupees for the first year. Remember this: Downtime costs can be summarized as ‘D=E*C’ where D is the downtime cost, E is hourly equipment cost, and C is the percentage.

Student 4
Student 4

I see! So the formula helps in understanding the financial impact effectively. But what happens in the next years?

Teacher
Teacher

In the second year, the percentage increases to 6%, leading to an hourly downtime cost of 54 rupees. The yearly downtime becomes 108,000 rupees. This shows that as equipment ages, downtime costs can rise.

Teacher
Teacher

To recap, we calculate downtime costs based on equipment cost and operational hours. Knowing how to do this will help us manage equipment better.

Cumulative Cost and Productivity Impact

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Teacher
Teacher

Now let’s discuss cumulative costs. After two years, how do we find the cumulative downtime cost?

Student 1
Student 1

By adding the yearly costs together?

Teacher
Teacher

Exactly right! So after the second year, how much would that be?

Student 2
Student 2

54,000 from the first year plus 108,000 from the second year is 162,000, right?

Teacher
Teacher

Correct! Now, how do we calculate the cumulative cost per hour?

Student 3
Student 3

We would divide the cumulative cost by the total hours operated?

Teacher
Teacher

Precisely! For the first year, that's 54,000 divided by 2000, giving us 27 rupees per hour. In the second year, after summing 162,000 and dividing by 4000, we get 40.5 rupees. This reflects the cost per hour is increasing due to cumulative issues.

Student 4
Student 4

So we need to consider how productivity loss also affects costs?

Teacher
Teacher

Spot on! Lost productivity means we need additional resources to bring production back to normal. This needs to be factored into the cumulative costs.

Teacher
Teacher

In conclusion, cumulative costs provide a continuous view of our financial involvement with equipment over time, and understanding that is key to effective management.

Obsolescence Costs and Their Impact

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Teacher
Teacher

Next, let’s transition to obsolescence costs. Why is it crucial to factor this into our calculations?

Student 1
Student 1

Because old machines may become less efficient, leading to higher costs?

Teacher
Teacher

Exactly! The obsolescence factor is calculated as a percentage of the equipment cost too. Initially, it’s zero, but it increases as the machine ages. By the second year, it becomes 45 rupees per hour.

Student 3
Student 3

How do we compute the overall yearly cost for obsolescence?

Teacher
Teacher

You multiply the obsolescence cost per hour by the total operating hours. So, for the second year, that’s 45 rupees times 2000, equal to 90,000 rupees.

Student 4
Student 4

I see, and as this cost accumulates, what’s the impact on our overall cumulative costs?

Teacher
Teacher

As it accumulates, it significantly increases our cost per hour. For example, by the third year, it jumps to 108 rupees per hour affecting the overall financial picture tremendously.

Student 2
Student 2

So, understanding obsolescence helps us decide when to replace equipment!

Teacher
Teacher

Absolutely! Monitoring these costs ultimately aids in optimizing equipment replacement timing for better financial management.

Teacher
Teacher

To wrap up, remember that incorporating obsolescence into your calculations is crucial for effective decision-making in equipment management.

Economic Life of Equipment

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Teacher
Teacher

Finally, let's synthesize what we learned about the economic life of equipment. What does that mean?

Student 1
Student 1

It refers to the time frame wherein equipment costs are minimized?

Teacher
Teacher

Correct! The key is to note that economic life is where cumulative costs per operating hour are lowest. Beyond this point, costs tend to increase.

Student 2
Student 2

So when's the ideal time to replace our equipment then?

Teacher
Teacher

The fourth year, based on our observations in previous discussions, shows the lowest cumulative cost. After that, maintenance and obsolescence costs typically rise, indicating it's time to replace the equipment.

Student 3
Student 3

Can we summarize how we might make decisions based on this analysis?

Teacher
Teacher

Sure! Before deciding, always review maintenance costs, obsolescence rates, and productivity losses. We want to ensure we’re not left with inefficient machinery that drains resources.

Student 4
Student 4

This concept really shows how understanding costs helps us optimize performance and efficiency.

Teacher
Teacher

Exactly! By reviewing the economic life regularly, we can ensure our decisions are informed and advantageous.

Teacher
Teacher

To conclude, the economic life of machinery should always be a essential consideration in operational planning and financial decision-making.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section discusses the calculation of cumulative costs related to downtime and obsolescence in equipment maintenance over time.

Standard

It outlines how to compute downtime costs based on machine usage, the impact of productivity fluctuations, and obsolescence costs due to old equipment. The section also explains how cumulative costs can guide optimal equipment replacement decisions.

Detailed

Cumulative Cost Per Hour Calculation for Obsolescence

This section covers the process of calculating cumulative costs associated with downtime and obsolescence of equipment over time, particularly focusing on how costs increase due to equipment aging and inefficiency.

  1. Downtime Cost Calculation:
  2. The downtime cost is calculated as a percentage of the equipment cost, set at 900 rupees per hour. Initially, downtime costing 27 rupees per hour accumulates 54,000 rupees in the first year.
  3. The second year sees an increase to 54 rupees per hour, resulting in 108,000 rupees for that year. Cumulative downtime costs are then summed across years to find the cumulative cost per hour.
  4. Productivity Impact:
  5. The section describes how downtime affects productivity. Specifically, loss in productivity leads to increased costs, resulting in higher cumulative costs per hour. For example, productivity adjusted costs for the first year are calculated as 41.33 rupees per hour.
  6. Obsolescence Cost:
  7. Obsolescence costs are also a major factor, calculated as a percentage of equipment cost. In the second year, the obsolescence cost per hour is 45 rupees, increasing to 108 rupees by the third year, leading to yearly cumulative costs.
  8. Ultimately, tracking these costs reinforces the importance of deciding when to replace equipment based on total cost trends informing operators of the optimal replacement period. The concept of economic life is introduced, suggesting that the fourth year represents a suggested point for replacement due to the minimum cumulative costs incurred.
  9. Conclusion:
  10. Understanding cumulative costs informs equipment replacement timing, ultimately supporting effective financial and operational decision-making.

Audio Book

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Understanding Downtime Costs

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So, downtime cost per hour equal to 3% of your equipment cost. Equipment cost is nothing but 900 rupees per hour.

Downtime cost per hour = (3/100) × (900) = 27 rupees per hour

Your machine is going to operate in a year for 2000 hours. So, what is your yearly downtime cost? Yearly downtime costs for the first year is,

Downtime cost per year = 27 × 2000 = 54,000 rupees

Detailed Explanation

The downtime cost is calculated as a percentage of the equipment cost. In this case, 3% of the equipment cost of 900 rupees per hour results in a downtime cost of 27 rupees per hour. If the machine operates for 2000 hours in a year, the total downtime cost for that year is calculated by multiplying the downtime cost per hour (27 rupees) by the total hours (2000 hours), which gives 54,000 rupees for the first year.

Examples & Analogies

Imagine you own a vending machine that costs you 900 rupees to maintain daily. If it breaks down for repairs, costing you 3% of that maintenance cost, you lose 27 rupees every hour it's out of service. If the machine is unavailable for a total of 2000 hours in a year, your total loss is like losing a monthly subscription fee for being unable to use the machine.

Calculating Yearly Downtime for Subsequent Years

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Similarly, calculate the downtime costs, let us calculate for the second year, in the second year the downtime percentage is 6%. So, downtime cost is 6% of your equipment cost,

Downtime cost per hour = (6/100) × (900) = 54 rupees per hour.

Downtime cost per year = 54 × 2000 = 1,08,000 rupees.

Detailed Explanation

In the second year, the downtime percentage increases to 6%. Therefore, the downtime cost per hour becomes 54 rupees (which is 6% of 900). The annual downtime cost is then calculated again by multiplying this new hourly cost by the number of operational hours (2000), resulting in a total downtime cost of 1,08,000 rupees for that year.

Examples & Analogies

Think of a delivery service that uses the same van. In the second year, due to more breakdowns and maintenance needs, the service incurs higher costs (6% of the van's cost). If the van is unavailable for another 2000 hours due to these issues, the company would be losing significantly more money just like a business losing revenue when their delivery service is unavailable.

Cumulative Downtime Cost Calculation

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Now, you find the cumulative downtime cost. Everything is done on cumulative basis. So, find the cumulative downtime cost by adding it.

54,000 + 1,08,000 gives you 1,62,000 for cumulative downtime cost.

Detailed Explanation

To find the cumulative downtime cost, you sum the downtime costs from all previous years. Starting with the first-year cost of 54,000 rupees, you add the second-year cost of 1,08,000 rupees, resulting in a cumulative downtime cost of 1,62,000 rupees up to that point.

Examples & Analogies

Imagine that over two years, you misplace a significant amount of money due to a flawed accounting software. The first year your loss is 54,000 rupees and in the second year's accounting, you lost an additional 1,08,000 rupees. Your total losses accumulate to 1,62,000 rupees which reflects how repeated losses add up over time.

Calculating Cumulative Usage Cost Per Hour

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Cumulative cost, end of the first year = 54,000 / 2000 = 27 rupees per hour.

Similarly, for second year, it is

Cumulative cost, end of the second year = 1,08,000 / 4000 = 40.5 rupees per hour.

Detailed Explanation

The cumulative cost per hour at the end of each year is calculated by dividing the total cumulative cost by the total operational hours. After the first year, the cumulative cost is 54,000 rupees, and dividing this by the operational hours (2000) gives a cost of 27 rupees per hour. By the end of the second year, the costs are compounded, and with a total cumulative cost of 1,62,000 rupees over 4000 total hours, the cost per hour rises to 40.5 rupees.

Examples & Analogies

If every month you track how much you spent and how much you used an appliance, by the end of the year, you can see that the per-use cost has increased as the total costs have added up, reflecting on a bill that shows how much you actually spend on each use of the appliance over time.

Productivity Adjusted Cumulative Costs

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Now, you have to account for the loss in productivity. ... So, to bring back the productivity to the original production rate, we need to engage the machine for more number of operating hours or we need to increase the number of machines or workers.

Detailed Explanation

Loss in productivity refers to additional costs incurred because the machine is down for repairs. To restore productivity levels, you may need to either increase the total operating hours or even add more machines or personnel to compensate for the productivity loss. This additional cost is then factored into the total costs, resulting in a new category called 'productivity adjusted cumulative downtime costs.'

Examples & Analogies

Picture a restaurant that loses business because of equipment failure. In response, they increase staff hours or bring in additional staff to make up for lost productivity during busy hours. This requires extra funds and also reflects an increase in overall operating costs, reminding us that every time equipment fails, the impacts extend beyond just immediate repairs.

Understanding Obsolescence Costs

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So, here we are trying to calculate the cost increased resulting from retaining the old machine with us, ... what is the increasing cost we are facing that is what is the obsolescence cost.

Detailed Explanation

Obsolescence costs refer to the expenses incurred by not upgrading to newer models of machinery or technology that offer better productivity or lower costs. As machines age, they may become less efficient and require more maintenance, which increases overall operational costs. Understanding these costs is crucial for deciding whether to maintain older equipment or invest in new, more efficient machinery.

Examples & Analogies

Consider a smartphone that gradually becomes outdated. Holding onto an older model is akin to paying more for repairs as it becomes less functional compared to newer models that not only operate faster but also consume less energy. This concept of outdated technology explains why it may make more sense economically to replace old machines sooner rather than later.

Definitions & Key Concepts

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Key Concepts

  • Downtime Costs: Costs incurred due to equipment being non-operational, calculated as a percentage of the equipment cost over time.

  • Cumulative Costs: Total accumulated costs over years, helping determine optimal replacement timing.

  • Obsolescence Costs: Expenses due to maintaining outdated equipment, impacting productivity and efficiency.

  • Economic Life: The period where the combined costs of equipment are at their lowest, signaling ideal replacement timing.

Examples & Real-Life Applications

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Examples

  • For equipment costing 900 rupees per hour, if downtime is 3%, the downtime cost would be 27 rupees per hour.

  • In the second year, if the downtime cost increases to 54 rupees per hour, the yearly total would be 108,000 rupees for that year.

  • If obsolescence costs are calculated at 0.05 of the equipment cost in the second year, it equals 45 rupees per hour.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • If your machine's on the shelf, its productivity is low, / Costs rise and obsolescence will grow.

📖 Fascinating Stories

  • Once a heavy machine worked hard for four years. After that, it started to slow down. Each year, its costs climbed higher till it needed a replacement. Remember to replace it before the costs soar!

🧠 Other Memory Gems

  • D.O.C.E. - D for Downtime, O for Obsolescence, C for Cumulative, E for Economic life.

🎯 Super Acronyms

P.O.C. - Productivity, Obsolescence, Costs are the key drivers behind equipment decisions.

Flash Cards

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Glossary of Terms

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  • Term: Downtime Cost

    Definition:

    The cost incurred when equipment is not operational, calculated as a percentage of its hourly cost.

  • Term: Obsolescence Cost

    Definition:

    The additional costs incurred from retaining old equipment that has become less efficient over time.

  • Term: Cumulative Cost

    Definition:

    The total costs accumulated over time, factoring in downtime and obsolescence.

  • Term: Economic Life

    Definition:

    The period during which the total ownership and operating costs of equipment are minimized.

  • Term: Productivity Factor

    Definition:

    A coefficient that reflects efficiency levels in production or overall machine performance.