Formula Forensics-No. 036: Calculating Costs that Vary by Year and Age

Share

Facebook
Twitter
LinkedIn

Van Gysel asked in a recent post at Chandoo.org for a way to calculate the costs of running a plantation.  The twist is that the costs vary by year, and based on the age of the trees.

The following is a slightly simplified version of the solution I offered:

=SUM(IFERROR(LOOKUP(“Year”&MMULT(N($B$3:B$7>0),TRANSPOSE(COLUMN($B$3:B$7)^0)), $B$11:$I$11, $B12:$I12),0)*B$3:B$7)      Ctrl+Shift+Enter

Today I am going to try and explain how the formula works.

As always at Formula Forensics, you can follow along with a sample file: Download Here

 

The Problem

In a plantation, the costs for planting and maintaining trees vary based on the age of the trees and by year.  The table below shows the acres of trees planted per year and the yield and costs per year that vary based on the age of the trees.

FF36-02

Let us look at the calculations needed for each year.

Year 2013

  • 300 acres of trees were planted in 2013.  Calculations for 2013 are as follows.  (Only Yield calculation is shown, but the process is similar for Nursery costs, Fertilizers, etc.)
  • The trees do not yield any fruits in the first year.  As such, Yield for year1=300*0=0

That was easy!

 Year 2014

  • 700 additional acres of trees will be planted in 2014.  Calculations for 2014 are as follows.  (Again, only Yield calculation is shown, but others are calculated similarly.)

FF36-Year2Calc

  • 300 acres of trees are 2 years old.  700 acres are 1 year old.
  • The 300 acres from 2013 now yield fruit since it is year2.  However, the new trees (700 acres) do not yield any fruits yet.  So total yield for 2014=300*Year2Yield+700*Year1Yield=300*5+700*0

Year 2015

  • 1000 additional acres are to be planted in 2015.  Calculations for 2015 are as follows:

FF36-Year3Calc

  • 300 acres are from 2013 (3 years old); 700 acres are from 2014 (2 years old); 1000 acres are from 2015 (1 year old).
  • Yield for 2015=300*Year3Yield + 700*Year2Yield + 1000*Year1Yield = 300*10 + 700*5 + 1000*0

 Year 2016

  • 1000 additional acres are to be planted in 2016.  Calculations for 2016 are as follows:

FF36-Year4Calc

  • Yield for 2016=300*15+700*10+1000*5+1000*0

How do we simulate the above calculation in an Excel formula?

A Solution

Let us first look at how we performed the calculations above manually, using the 2016 Yield as an example.

  1. We took each acreage value in 2016, and determined its age by counting how many years it has been since that acreage was planted.  You might have observed that the age can be counted by the number of times a value has been repeated up to that point.  (In other words, if I planted 300 acres in 2013, I should see that same amount in 2014, 2015 and 2016.) As such, 300 acres is repeated 4 times.  700 acres is repeated 3 times.  1000 acres is repeated 2 times. And the latest planting of 1000 acres exists only once.
  2. Once we determine the age for a given acreage, we looked up the yield for that age in the second table
  3. We then multiplied the acreage with the corresponding yield value.

Calculation #1 can be expressed as follows:

  • Age for acreage 1 (first planted in 2013)=count of B3:E3 where value is greater than zero.  i.e. COUNTIF(B3:E3,”>0”)
  • Age for acreage 2 (planted in 2014)=count of B4:E4 where value is greater than zero.  i.e. COUNTIF(B4:E4,”>0”)
  • Age for acreage 3 (planted in 2015)=count of B5:E5 where value is greater than zero.  i.e. COUNTIF(B5:E5,”>0”)
  • Age for acreage 4 (planted in 2016)=count of B6:E6 where value is greater than zero.  i.e. COUNTIF(B6:E6,”>0”)
  • Age for acreage 5 is zero since nothing has been planted for 2017 yet in 2016

The above approach would work if we were calculating the age one row at a time.  However, that can become tedious really fast.  We need to perform the calculation for the full range (B3:E7) together, but return the counts for each row individually.

Excel’s MMULT function comes to the rescue!

MMULT (which stands for Matrix Multiply) multiplies two matrices and returns a third matrix based on rules for matrix multiplication.  I am planning to devote a whole article to explain the MMULT function.  As such, for this article, we will summarize the utility of the function as “take a 2-dimensional array, add each column’s value for each row, and return a 1-column array”.

MMULT requires that its arguments be numeric.

So to obtain the counts for the year 2016, we can use the following:

MMULT(N($B$3:E$7>0),TRANSPOSE(COLUMN($B$3:E$7)^0))

As you can see from the picture below, MMULT’s results are the addition of each column for each row.

FF36-TRUE FALSE to1s 0s

In the above formula, you may have noticed that the range uses absolute and relative referencing (signified by the $ sign or lack thereof).  This is to ensure that the range grows or shrinks as needed.  The upper left address is held constant ($B$3).  However, the lower right address for the range has columns that vary but row that is fixed on row #7.  This ensures that the formula would work if we copy to the left, right, etc. in the final results.

Now that we have the age for each acreage value, we can look up the corresponding yield value using (what else?) LOOKUP function.

But before we can use LOOKUP, we will need to convert the numeric values returned from MMULT into the strings Year1, Year2, etc. found in the Costs table.  Of course, you know how to do that… concatenate the string “Year” to the result from MMULT

“Year”&MMULT(N($B$3:E$7>0),TRANSPOSE(COLUMN($B$3:E$7)^0))

For the 2016 example, we get {“Year4″;”Year3″;”Year2″;”Year1″;”Year0”}

We can now use LOOKUP as follows:

LOOKUP(“Year”&MMULT(N($B$3:E$7>0),TRANSPOSE(COLUMN($B$3:E$7)^0)), $B$11:$I$11, $B12:$I12)

FF36-2016 calc

You may recall that LOOKUP looks up a value in the array indicated by the second argument, and returns the corresponding value from the third array argument.  In this case, instead of looking up a single value, we look up an array of values (supplied in the first argument) to the function.

The above formula translates to the following:

LOOKUP({“Year4″;”Year3″;”Year2″;”Year1″;”Year0”}, {“Year1″,”Year2″,”Year3″,”Year4″,”Year5″,”Year6″,”Year7″,”Year8”}, {0,5,10,15,20,25,30,35})

The result from LOOKUP is {15;10;5;0;#N/A}

(The last value is #N/A because there is no acreage value for 2017 yet (as of 2016 column).  The concatenation resulted in Year0 which does not exist in the “Age of The Trees” range (B11:I11) above.)

By using IFERROR(LOOKUP(…),0) we get {15;10;5;0;0}

We can now multiply the above result with the acreage values for 2016 to get {4500;7000;5000;0;0}

Finally, we SUM the values to get 16500

FF36-Final Calc

Putting it all together, we get the following formula (shown for Production for year 2016)

=SUM(IFERROR(LOOKUP(“Year”&MMULT(N($B$3:E$7>0),TRANSPOSE(COLUMN($B$3:E$7)^0)), $B$11:$I$11, $B12:$I12),0)*E$3:E$7)

One of the benefits of the above formula is that you can copy the same formula to calculate values for additional years, as well as other plantation costs.

Download

You can download a copy of the above file and follow along: Download sample file.

 

Let me know (using the comments below) what you think of the above approach and solution, as well as any other approaches you have utilized to solve a similar problem.  In the meantime, I wish you continued Excellence!

-Sajan.

 

 Other Posts in this Series

The Formula Forensics Series contains a wealth of useful solutions and information.

Visit the Formula Forensics Home Page to read other articles in this series.

Facebook
Twitter
LinkedIn

Share this tip with your colleagues

Excel and Power BI tips - Chandoo.org Newsletter

Get FREE Excel + Power BI Tips

Simple, fun and useful emails, once per week.

Learn & be awesome.

Welcome to Chandoo.org

Thank you so much for visiting. My aim is to make you awesome in Excel & Power BI. I do this by sharing videos, tips, examples and downloads on this website. There are more than 1,000 pages with all things Excel, Power BI, Dashboards & VBA here. Go ahead and spend few minutes to be AWESOME.

Read my storyFREE Excel tips book

Overall I learned a lot and I thought you did a great job of explaining how to do things. This will definitely elevate my reporting in the future.
Rebekah S
Reporting Analyst
Excel formula list - 100+ examples and howto guide for you

From simple to complex, there is a formula for every occasion. Check out the list now.

Calendars, invoices, trackers and much more. All free, fun and fantastic.

Advanced Pivot Table tricks

Power Query, Data model, DAX, Filters, Slicers, Conditional formats and beautiful charts. It's all here.

Still on fence about Power BI? In this getting started guide, learn what is Power BI, how to get it and how to create your first report from scratch.

28 Responses to “Pimp your comment boxes [because it is Friday]”

  1. Jeff Weir says:

    This borders on Excel soft-cell...er, soft-core...porn. My favorite kind.

  2. Tim says:

    Wow, that is pimp-TASTIC! I have a question, as a VBA n00b: additional comment boxes stay plain unless I "run" the macro. Is there a way to change all comments, going-forward?

  3. laguerriere says:

    hi Chandoo, well, I like the macro approach. For those who don't like it, there is another way: just add the "draw" toolbar to the shapes toolbar (via Custom etc), click on "edit comment", click on the auto-shape and then choose "draw" drop-down, --> modify auto-shape --> then you even can have a heart or a banner (I like the horizontal banner in in purple :-)) . in excel 2007, you have to add this custom menu that you choose via Excel Options --> Custom --> it is called "change/ modify auto-shape"!!!
    best,

  4. Tom says:

    @Chandoo. Great Post 🙂
    @Tim : the way the macro is coded, it must be run very time.
    @Community: If someone has an idea to perform it when opening an existing excel, it should be nice.
    @Community: if someone has some code to revamp the commentboxes on all sheets, please share it. 🙂
    @Microsoft Excel-progammers: some pimpoptions for the commentboxes should be great.

    Cheerio
    Tom

  5. Yukikomi says:

    For the auto run, please add the codes in workbook:

    Private Sub Workbook_SheetActivate(ByVal Sh As Object)

    Call Comments_Tom

    End Sub

  6. Debra says:

    Wow, that was a lot of fun... Thanks Tom!

  7. Chandoo says:

    @Jeff... Now, 5000 people know about your favorite porn... 😛

    @Tim ... you can write an event to handle the new comments. I wouldnt recommend it as it is really painful. another option is to use the macro suggested by Yukikomi. It will update comments everytime you activate the sheet.

    @laguerriere: very cool 🙂

  8. Johnnie says:

    @Chandoo ... Thanks! This is good stuff. I combined your tip with a tip from Mark O'Brien, then assigned it to a button on Excel 2010's Quick Access Toolbar, to format comments AS I add them. I also like how Mark's code saves me the trouble of backspacing my name out of new comments:

    Sub AppendToExistingComment()
    'Source: Mark O'Brien at http://www.mrexcel.com/forum/showthread.php?t=57296
    Dim oRange As Range
    Dim oComment As Comment
    Dim sText As String

    'Use object variable to hold range.
    Set oRange = ActiveCell
    'Use object variable for comment
    Set oComment = oRange.Comment
    'text to be added to the comment box
    sText = InputBox("Type text to be added:", "APPEND TO COMMENT TEXT")
    If Len(sText) = 0 Then End
    'If Active Cell has a comment then append new text to the end of the comment text
    If Not oComment Is Nothing Then
    sText = oComment.Text & vbNewLine & sText
    oRange.Comment.Delete
    End If

    'Add a comment with the contents of sText
    oRange.AddComment sText

    DoEvents
    Comments_Tom

    End Sub

  9. Nick says:

    Thank you very much for the code, it seems to be working for the most part; I am having a problem however. Once the routine makes the corrections to the comment, the comment becomes invisible. By invisible, I mean that when I highlight my mouse over it, nothing appears. However, when I right click the cell and click 'edit comment' then the comment becomes visible and I enter edit mode. Upon clicking out of the comment, it simply vanishes again. I've tried to fix this problem by adding a .shape.visible = msoTrue but then every comment is always visible. o_O please advise...

    Thank you,

    Nick

  10. Shailyog says:

    @Nick- That is because the font color of the comment is white and when you select the color of selection is also white hence you can not see anything. Try to change the color code in the routine to something else. would work

  11. Michael says:

    Thanks for that! The code works perfectly!

  12. [...] look at Format Excel Comment Boxes using VBA Macros | Chandoo.org - Learn Microsoft Excel Online [...]

  13. Sunny says:

    @ Chandoo - code works great and the comments look super cool. But I have ran into a small issue. In the comments, I am inserting pictures. When I run the macro, for all comments which already have pictures; pictures are deleted. Pls help me retain the pics in comments.

  14. […] posted some code one of his readers submitted, it "pimps" your comment boxes from those boring black-text-on-yellow rectangles to something more professional and eye-pleasing. […]

  15. mohammad mal says:

    love in it

  16. Deepak says:

    Hi Tom,

    This looks really excellent. I am however relatively new to macros / VBA codes so having copy pasted your code in the Developer mode of an Excel file, what are the next steps to use them? Can you please help? Just to recap, I opened a blank Excel workbook, clicked on Developer, copy pasted the comments code and saved the file to the desktop.

    Now how do I go about using it to add comments to an existing file? My apologies for asking a question which may be basic to you great geniuses, but I am not there yet and aspire to get there.

    Many thanks for helping me with next steps that I need to take so that I can now use the code.

    Best Wishes

    Deepak Dave, CMA, MBA, PMP
    Senior Management Consultant

  17. Tom says:

    Dear Dave,

    The best thing to do is to copy the macro in the personal.xls(x) file. The personal excel file will always be launched when you open excel so you can use it with every excelworkbook.
    Read all about it on the page of Microsoft.
    https://support.office.com/en-us/article/Copy-your-macros-to-a-Personal-Macro-Workbook-aa439b90-f836-4381-97f0-6e4c3f5ee566

    Once you have the macro in the personal, you can 'call' the macro by the keyboardcombination 'alt+f8' and klik on the macroname.

    Hope this clarifies the 'how to'. Good luck with your first steps in the wonderfull world of macro's.
    Tom

    • Deepak says:

      Hi Tom,

      Many thanks. I will try that out. Learning is fun and learning this stuff is even more amazing.

      Best Wishes

      Deepak Dave

  18. Gary says:

    There is a line 'Dim LArea As Long' which does not appear to be used. Have I missed something?

  19. Luis says:

    Excellent hack!
    For some reason when I opened my file after using LibreOffice Calc, all comment boxes had changed to some arrow shape.
    So this macro helped me from manually changing more than 5000 comments in a worksheet, or having to install some Excel extension.
    I used it with the following attributes to get back old style comments:

    It helped me from manually changing more than 5000 comments in a worksheet, or having to install some Excel extension.

    .Shape.AutoShapeType = msoShapeRectangle
    .Shape.TextFrame.Characters.Font.Name = "Calibri"
    .Shape.TextFrame.Characters.Font.Size = 10
    .Shape.TextFrame.AutoMargins = True
    .Shape.TextFrame.AutoSize = True

    Thanks a lot!

  20. Mark Blackburn says:

    This was helpful, thank you

  21. loana says:

    I think this is among the most significant
    information for me. And i am glad reading your article.
    But wanna remark on some general things, The site style is great,
    the articles is really great : D. Good job, cheers

  22. Jen says:

    Is there code to add to this that will format a particular part of the comment (i.e. make the last sentence in the comment bold and in italics)?

  23. Phil says:

    This is fantastic!
    How would I add auto-sizing to it?
    I tried adding this:
    .Shape.AutoSize = True but it gives me an error and as a novice at VBA I can't figure it out.

  24. site de promos says:

    Hello I am so glad I found your web site, I really found you by accident,
    while I was browsing on Bing for something else, Nonetheless I am here now and would
    just like to say thanks a lot for a remarkable post and a all round entertaining blog (I also love the theme/design), I don’t have time to
    read it all at the moment but I have book-marked
    it and also added in your RSS feeds, so when I have time I will be back to read a lot more,
    Please do keep up the fantastic work.

  25. E.H. says:

    This is GREAT!

    How should the code be changed in order to tun once for all worksheets in a workbook?

Leave a Reply