Relevant costing for the opportunity cost


Explanation of Spreadsheet:

Primarily this question is one that resolves around incremental revenues and costs. According to my textbook, relevant information involves "costs or benefits that are different for each course of action". Horngren in another textbook on management accounting highlights that an "incremental cost is the additional cost incurred for an activity" (i.e, telemetry units). Incremental revenue is defined in an analogous manner - the additional revenue form an activity.

In this analysis, I have decided to leave out the standard room rate of $120 per day when calculating the revenue from the addition of the telemetry units. By only including the $80 or $120 incremental revenue from the telemetry units, I believe (but want your advice) that the revenue will be better matched to the costs as outlined in the question. As we can see in the question, the costs that are stipulated are only related to the telemetry units (incremental costs of this activity), not the actual standard room revenue.

I believe therefore that we will have a more accurate differential margin to base our Return On Equipment calculation (as seen in the attached solution) as the income figure I have derived (made up of only incremental revenues and incremental costs) is directly related to the initial investment amount ($44,570).

I was a little concerned about the effect on the 'bad debts and insurance estimate' of 10%. But in reality if we think back to the basics, we are only interested in the effect of the 10% on the differential revenue, not the entire room rate...

The Return On Capital percentages are much more realistic as well, ranging between 16.95% to over 252.81%.

The second part of the question to this problem asks us to "advice management as to the alternative to choose explaining why you think this is the right choice".

This is where the opportunity cost comes into play: Basing our answer only on the return on capital, we could deduce that charging $120 per day at a 60% usage rate is the best alternative (alternative D - the obvious choice) as it has the highest return on capital. But by including the opportunity cost, the whole story changes!

Because of the inherent opportunity costs of committing to this project (Forgone revenue from the cardiac rooms), we find that option C is actually the best alternative. In my answer of course, I would have to reveal that there are numerous qualitative issues to consider as well.

So what is your interpretation of this? Do you think I'm right here?

I know that in the end it makes no difference to the final alternative chosen but nevertheless the lecturer stipulated that if asked this sort of question in the exam to only include relevant information to the question at hand because in generating information in the workplace is a costly process, requiring time and effort and it is a requirement of the management accountant to simplify and shorten the data-gathering process so as to enhance decision-making within an organisation.

 1. Average Cost   Year 1   Year 2   Year3   Year 4   Year 5   Total 
 Cost of Machine     44,570.00



   44,570.00
 Service Contract Costs 
     3,060.00      3,366.00      3,702.60    4,072.86    14,201.46
 Service Call Costs 
     2,400.00      2,640.00      2,904.00    3,194.40    11,138.40
 Supplies       2,800.00      3,136.00      3,512.32      3,933.80    4,405.85    17,787.97
 Personnel     59,000.00    59,000.00    59,000.00    59,000.00  59,000.00  295,000.00
 Total   106,370.00    67,596.00    68,518.32    69,540.40  70,673.11  382,697.83







 Average Cost     76,539.57












 Option A   Option B   Option C   Option D 

 Number of Units                 8                8                8                8

 Rate of utilisation  40% 60% 40% 60%

 Number of Units Utilised Per Day               3.2              4.8              3.2              4.8

 No of Days in Year              365             365             365             365

 Number of Units Utilised Per Year           1,168          1,752          1,168          1,752

 Incremental Revenue Per Unit           80.00          80.00        120.00        120.00

 Expected Differential Revenue     93,440.00  140,160.00  140,160.00  210,240.00

 Discount / Bad Debts (10%) on Incremental Revenue       9,344.00    14,016.00    14,016.00    21,024.00

 Net Revenue Received     84,096.00  126,144.00  126,144.00  189,216.00

 Average Cost     76,539.57    76,539.57    76,539.57    76,539.57

 Differential margin (Accounting)       7,556.43    49,604.43    49,604.43  112,676.43

 Opportunity Cost of Cardiac Unit (See Below)   350,400.00  525,600.00  350,400.00  525,600.00

 Differential Margin  -342,843.57 -475,995.57 -300,795.57 -412,923.57

 Return On Investment  16.95% 111.30% 111.30% 252.81%








 Opportunity Cost 





 Number of Beds utilised per year           1,168          1,752          1,168          1,752

 Lost Cardiac care revenue per bed  300 300 300 300

 Lost Cardiac care revenue per year       350,400      525,600      350,400      525,600

 Total Opportunity Cost        350,400       525,600       350,400       525,600

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Accounting Basics: Relevant costing for the opportunity cost
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