Second Year Obsolescence Cost - 2.1 | 17. Downtime Cost Calculation | Construction Engineering & Management - Vol 1
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Understanding Downtime Cost

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0:00
Teacher
Teacher

Today, we'll be discussing downtime costs, which are a critical aspect of equipment management. Can anyone tell me how we determine the downtime cost per hour?

Student 1
Student 1

Is it based on equipment cost and the percentage of downtime?

Teacher
Teacher

Exactly! Downtime cost per hour is calculated using the formula, which involves multiplying the equipment cost by the downtime percentage. For instance, if equipment costs 900 rupees per hour at a 3% downtime, what would that be?

Student 2
Student 2

That would be 27 rupees per hour.

Teacher
Teacher

Great job! Now, if the machine operates for 2000 hours in a year, how do we find the yearly downtime cost?

Student 3
Student 3

By multiplying 27 by 2000, we get 54,000 rupees.

Teacher
Teacher

Right! Remember this process with the acronym 'DOP' for Downtime Operating Cost. Let's summarize: identify the percentage, calculate the hourly cost, and then extend it to yearly figures. Any questions?

Calculating Cumulative Costs

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Teacher
Teacher

Now, let’s delve into cumulative costs. After calculating downtime for the first year, how would we track costs in subsequent years?

Student 4
Student 4

We add the costs from each year.

Teacher
Teacher

Exactly! If the second year's cost rises to 1,08,000 rupees, how do we find the total cumulative cost by the end of the second year?

Student 1
Student 1

It would be 54,000 plus 1,08,000, which totals 1,62,000 rupees.

Teacher
Teacher

Spot on! Remember this as 'ACC' for Annual Cumulative Cost. Keep track that these calculations help us understand costs better over time. Let's transition to the productivity adjustments next. Thoughts?

Productivity Adjusted Costs

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Teacher
Teacher

Continuing from cumulative costs, we also need to consider productivity adjustments in our calculations. Can someone remind me how we calculate those?

Student 2
Student 2

We take the cumulative cost and divide it by the productivity factor?

Teacher
Teacher

Exactly! If the second year's cumulative cost was 40.50 and productivity dropped to 0.98, what is our adjusted cost?

Student 3
Student 3

It would be 41.33 rupees per hour.

Teacher
Teacher

Correct! Let's record that as 'PAC' for Productivity Adjusted Cost. Tracking productivity is essential as we want to maintain efficiency while controlling our costs. Any additional questions?

Understanding Obsolescence Costs

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0:00
Teacher
Teacher

Next, we'll discuss obsolescence costs. How would you describe the implications of an old machine versus a new one?

Student 4
Student 4

Older machines become less productive and may incur higher maintenance costs.

Teacher
Teacher

Exactly! We calculate obsolescence as a percentage of the equipment cost. For instance, if it's 0.05 in the second year, what is our hourly obsolescence cost?

Student 1
Student 1

It would be 45 rupees.

Teacher
Teacher

Spot on! And when we multiply by 2000 hours, what do we get for yearly costs?

Student 2
Student 2

90,000 rupees.

Teacher
Teacher

Perfect! Always be aware of these escalating figures with time. Recap it using 'OC' for Obsolescence Cost. Brilliant teamwork, everyone!

Cumulative and Yearly Obsolescence Cost

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Teacher
Teacher

Lastly, let’s pull together everything about obsolescence costs. How do we determine cumulative obsolescence costs over the years?

Student 4
Student 4

By adding yearly costs together, right? Like for the third year?

Teacher
Teacher

Exactly! If we have 90,000 from the second year and 2,16,000 from the third, what do we total?

Student 3
Student 3

That would be 3,06,000 rupees.

Teacher
Teacher

Correct! This gives us a comprehensive understanding when assessing the costs of older machinery versus new options. Always remember the implications of outdated machinery as they can heavily impact cost efficiency. Excellent discussion today!

Introduction & Overview

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Quick Overview

This section discusses the calculation of downtime costs and obsolescence costs associated with aging equipment over multiple years.

Standard

The section details how to compute downtime costs based on machine operation hours and the impact of obsolescence as machines age, emphasizing the financial implications of maintaining outdated equipment. It introduces cumulative costs and highlights the significance of productivity adjustments.

Detailed

Detailed Summary

This section provides a comprehensive analysis of downtime and obsolescence costs related to machinery over multiple years. It begins by outlining the calculation of downtime costs, which is directly correlated to the equipment cost and the operating hours of the machine.

  1. Downtime Cost Calculation:
  2. For year one, downtime costs are calculated as 3% of the equipment cost, leading to a total downtime cost of 54,000 rupees per year.
  3. The calculation for the second year involves a raised downtime percentage of 6%, resulting in a yearly downtime cost of 1,08,000 rupees.
  4. The cumulative downtime costs are calculated by adding yearly costs to assess the total financial impact over multiple years.
  5. Impact of Productivity:
  6. As machines become less productive due to age, additional costs arise when restoring productivity levels, represented by productivity adjusted cumulative costs. This includes multiplying the original costs by a productivity factor.
  7. Obsolescence Cost:
  8. This part defines obsolescence costs as related to the age of equipment and the increased costs due to lower productivity and the need for repairs. It illustrates how failing to upgrade can lead to significant financial drawbacks, emphasizing that the obsolescence cost is a percentage of the machine's initial cost.
  9. Cumulative Obsolescence Calculation:
  10. Yearly obsolescence costs are calculated and cumulatively added, providing insight into the increasing costs associated with aging machinery. The section underscores the pattern of escalating costs and highlights when it's financially prudent to replace old equipment to avoid excessive maintenance and low productivity costs.

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Understanding Downtime Cost

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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

In this section, we start by calculating the downtime cost for the equipment. The downtime cost per hour is determined as 3% of the hourly equipment cost. Given an equipment cost of 900 rupees per hour, the downtime cost is calculated to be 27 rupees per hour. This cost accumulates as the machine operates over a year for 2000 hours, resulting in a total downtime cost of 54,000 rupees for the first year.

Examples & Analogies

Imagine you own a taxi service, and one of your car's engine fails, making it unusable for a period. If your taxi brings in 900 rupees per hour, the loss from not using it is equivalent to the downtime cost. Just like how the taxi loses money each hour it cannot operate, machinery in a factory incurs downtime costs when it isn't functioning.

Calculating Second Year Downtime Cost

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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, we see an increase in the downtime percentage to 6%. This means that the downtime cost per hour now increases to 54 rupees. When we calculate the yearly cost based on 2000 operating hours, the total downtime cost for the second year escalates to 1,08,000 rupees. This highlights how maintenance issues can lead to increased costs as a machine ages.

Examples & Analogies

Consider an aging car—its wear and tear leads to more frequent breakdowns, causing more downtime. Instead of earning money, the car incurs costs during the time it sits idle, reflecting how machinery costs can rise when reliability decreases.

Cumulative Downtime Costs

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

So, 54,000 + 1,08,000 gives you 1,62,000.

Detailed Explanation

To understand the total financial impact, we calculate the cumulative downtime costs by adding the yearly costs. For the first year, the downtime cost was 54,000 rupees and for the second year, it was 1,08,000 rupees. Adding these numbers gives us a total cumulative downtime cost of 1,62,000 rupees over the two years. This method helps in keeping track of increasing costs over time.

Examples & Analogies

Think of it like saving money each month. If you save 54,000 rupees in the first month and then another 1,08,000 rupees the next, your total savings build up to 1,62,000 rupees. Similarly, downtime costs add up and affect overall financial health.

Calculating Cumulative Cost Per Hour

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

Similarly, for a second year, it is

Cumulative cost, end of the second year = 1,62,000 / 4000 = 40.5 rupees per hour

Detailed Explanation

After calculating the cumulative downtime costs, we evaluate the cumulative cost per hour. At the end of the first year, the cumulative cost is 27 rupees per hour. At the end of the second year, the cost increases to 40.5 rupees per hour, showcasing how the cost efficiency of operating the machine changes as it ages. This method of calculating cost per hour helps in analyzing the financial sustainability of using older machines.

Examples & Analogies

Just like in a team project, if a member completes their work in a short time, the group's overall efficiency becomes higher. However, if a member takes longer due to disruptions (like machine downtime), the group's efficiency and costs increase. It's similar to how cumulative costs per hour reflect an overall operational decline.

Impact of Productivity Loss

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Now, you have to account for the loss in productivity. So, the loss in productivity is also going to result in an increase in the downtime cost of the machine.

Detailed Explanation

As machinery experiences downtime, productivity loss contributes to rising costs. If a machine is frequently out of operation, it not only costs money due to repairs but also affects the overall production rate of operations. Companies must find ways to compensate for this lost productivity to maintain efficiency.

Examples & Analogies

Think of a student who misses class time because of illness. They fall behind in their studies and may need extra tutoring to catch up. Similarly, a machine that sits idle due to frequent repairs must have additional resources allocated to return to its prior productivity levels.

Productivity Adjusted Cumulative Cost

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So, I want to say 40.5 is my cost per hour, the productivity corresponding is 0.98. To bring back this productivity to 1, I need to spend some additional cost,

Productivity adjusted cumulative cost, first year = (41.33 rupees per hour)

Productivity adjusted cumulative cost, second year = (55.67 rupees per hour)

Detailed Explanation

To adapt to reduced productivity arising from downtime, we adjust the cumulative costs to reflect the efforts needed to restore maximum productivity. The analysis shows that adjusted costs per hour rise to 41.33 for the first year and 55.67 for the second year. Companies must prepare for these additional costs when machinery does not perform at optimal levels.

Examples & Analogies

Imagine a factory that needs to hire additional workers after one of its machines fails, just to meet production goals. Similarly, adjusting costs for machinery reflects increased risk and the need for more resources to compensate for downtime, much like needing more staff for projects due to an absent team member.

Calculating Obsolescence Cost

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Every year your obsolescence factor is increasing as the machine is becoming more obsolete. We are trying to calculate the cost increased resulting from retaining the old machine with us, which produces at a lower productivity rate.

Detailed Explanation

Over time, older machines become obsolete, leading to increased costs associated with their operation. As technology advances, maintaining older equipment typically results in needing more spending on repairs and lower productivity. This analysis helps quantify the cost of sticking with less efficient machines instead of upgrading to new models that may perform better and more cost-effectively.

Examples & Analogies

Consider your smartphone. If you hold onto an older model, you may find your apps are slower, and updates aren't available. As a result, it could cost you more in time and productivity compared to getting the latest model, which operates seamlessly.

Yearly and Cumulative Obsolescence Cost

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Obsolescence cost per hour = 0.05 × 900 = 45 rupees

Obsolescence cost for the second year = 45 × 2000 = 90,000 rupees

Obsolescence cost for the third year = 0.12 × 900 = 108 rupees

Obsolescence cost per third year = 108 × 2000 = 2,16,000 rupees

Detailed Explanation

In evaluating obsolescence costs, we look at two key years. For the second year, obsolescence costs amount to 90,000 rupees, while for the third year, these costs rise significantly to 2,16,000 rupees. This illustrates how costs related to the aging and inefficiency of machines can accumulate, affecting overall operational budgets.

Examples & Analogies

Imagine a car that has always worked well but is getting older. At first, you only incur minor maintenance costs, but as parts start to fail or technology in new cars advances significantly, those costs increase rapidly, reflecting higher obsolescence.

Understanding Cumulative Obsolescence Cost

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Now you find the cumulative obsolescence cost. You add it, and you know the cumulative usages for every year it is 2000 hours.

Obsolescence cumulative cost in second year = 90,000 rupees / 4000 = 22.50 rupees per hour

For the third year, it is

Obsolescence cumulative cost in third year = 3,16,000 / 6000 = 51 rupees per hour.

Detailed Explanation

As with downtime costs, cumulative obsolescence costs are tracked over time. By calculating the cumulative cost at the end of the second and third years, we see an increase in the cost per hour due to the added obsolescence of the machine. This helps visualize how retaining older equipment can lead to higher overall costs in the long run.

Examples & Analogies

Just like with your monthly subscription to an outdated software, the more you delay updating, the more money wasted while you maintain software that offers fewer features and leads to missed opportunities. The same principle applies to equipment, where outdated models drain financial resources.

Summarizing Costs and Economic Life

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When you add all the total costs, what is the trend we will see? ... at the end of 4th year, it is advisable to replace your machine.

Detailed Explanation

We summarize all expense types—depreciation, investment, maintenance, repair, downtime, and obsolescence—over each year to identify cost trends. Notably, costs initially drop then escalate again after a point, indicating the economic life of the machine. Recognizing this point guides decisions on whether to repair or replace machinery.

Examples & Analogies

Think of a car that you plan to keep for a long time. In the beginning, it might be low maintenance, but after several years, costs can accumulate rapidly for repairs. Recognizing when to sell this older vehicle before repair costs exceed the car's value is key—in essence, identifying optimal replacement times.

Definitions & Key Concepts

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Key Concepts

  • Downtime Calculation: The mathematical formula to determine losses due to equipment inactivity.

  • Cumulative Costs: The progressive addition of costs annually for comprehensive financial tracking.

  • Obsolescence Cost: An essential consideration in determining if machinery needs replacement.

  • Productivity Factor: A central aspect in evaluating machine performance and adjusting costs accordingly.

Examples & Real-Life Applications

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Examples

  • If a machine costs 900 rupees and has a downtime percentage of 3%, the downtime cost is 27 rupees per hour.

  • For the second year, with an equipment cost of 900 rupees and a downtime percentage of 6%, the yearly cost becomes 1,08,000 rupees.

Memory Aids

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

🎵 Rhymes Time

  • Old machines, oh what a plight, costs increase both day and night.

📖 Fascinating Stories

  • Imagine a hardworking farmer clinging to his old tractor, it starts breaking down more often and costs him sales. This represents the obsolescence costs he'd face if he doesn't invest in a new one.

🧠 Other Memory Gems

  • DOP for Downtime Operating Cost: Remember to calculate downtime using Downtime %, Operational hours, and Productive hours.

🎯 Super Acronyms

ACC for Annual Cumulative Cost; start with Year 1 cost and add Year 2 cost to see the big picture.

Flash Cards

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Glossary of Terms

Review the Definitions for terms.

  • Term: Downtime Cost

    Definition:

    The cost associated with the loss of productivity because machinery is not operational.

  • Term: Cumulative Cost

    Definition:

    The total cost accumulated over several time periods, including all previous costs.

  • Term: Obsolescence Cost

    Definition:

    The costs resulting from keeping an outdated machine in operation, often leading to lower productivity and higher maintenance costs.

  • Term: Productivity Factor

    Definition:

    A factor that represents how effectively a machine performs compared to expected output.