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

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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.

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42 Responses to “Prevent Duplicate Data Entry using Cell Validations”

  1. Jair says:

    Hi Chandoo, I need you help in the following problem.
    I'm trying to get a direccion from a found result. With this dirreccion I will want the before cell value. For example, If result of a find is 38 localized in cell $C$2, I need to get previus value (cell $B$2 ), maybe Andrés.

    Do you know some way to do that?

    Thank you for you help.

  2. Lincoln says:

    Hi Chandoo

    Thanks for this. One thing though: In my pre-2007 version of Excel, the COUNTIF function doesn't recognise a semicolon (;), but requires a comma.

    Is the semicolon an Excel 2007 thing?

  3. Chandoo says:

    Jair... I am not sure I understand what you want. what do you mean by Dirreccion?

    @Lincoln: I am sorry, often I forget that I am using European version of excel where the delimiter is ; instead of ,. I have corrected the formula now.

  4. subbu says:

    Thanks for this nice tip, i used to do a find all after filling every new items which was cumbersome.

    Do you know a way to extend this validation search to other tabs/sheets ?

  5. Jair says:

    Thanks for you attention. I'm trying to get of value continue from a found value. Let me show a example:

    Name Years
    John 35
    Maria 28
    Teresa 32

    If I search the max years, the result is 35, but I need that result to be John. Do you know how I can do it?

  6. Chandoo says:

    @Subbu.. you can easily extend the validation to other sheets by pasting the data validations. See the latest article here: http://chandoo.org/wp/2009/10/28/copy-data-validations/

    @Jair.. you can use the large() or small() formulas to do this. for eg. =index(A1:A3,large(B1:B3,1)) will get you the name of the person with highest "years". More help here: http://chandoo.org/excel-formulas/large.html

  7. Jair says:

    Hi, I don't know if I'm using bad the formula or its performance is diferent for my Office version. Large() formula return the value in the cell, in my example 35. The index() formula use a range, row and column. I'm using the large() as number of row, and it is bad because into the range don't have row 35. This is my perception. What do you think?

  8. Chad says:

    Hello,
    I am trying to attempt data validation in Excel Mobile, but the DV tool isnt available. I want to prevent duplicates is all, any advice on acheiving this in Excel Mobile? Thanks..

  9. Chandoo says:

    @Jair... my french aint that good. it starts at "merci" and ends at "beau coup".

    Anyhow, you need to merge the large with vlookup to do this. I am not sure if you have solved the problem. Otherwise let me know with details and I can write the formula in comments.

    @Chad... I have never used excel mobile, so I have no idea. May be they have not implemented data validations in excel mobile.

    Any excel mobile users out there?

  10. Jair says:

    Hi Chandoo, the proposed solution by JlD is interesting. He created a macro to get values when the matrix is not one dimensional, how on my problem. This fuction for me.
    I would like to share you my work, how can I upload?

  11. Chandoo says:

    @Jair.. sorry for such a delayed reply.. you can upload the files to skydrive and link them here. Or you can email them to me at chandoo.d @ gmail.com and I will upload them somewhere. But it could take forever if you email files to me as I am a bit lazy.

  12. [...] Day 31: Advanced Data Validation Tricks in Excel – Part 2 [...]

  13. Muhammad Moin says:

    Hi,

    Can you help me in Microstrategy?

    Br,
    Moin

  14. Ramprasad says:

    really wonderful article. I feel it is implementing Primary Key concept into spreadsheets.

  15. sriram says:

    Hi article on data validation. Excel is a very versatile platform to work with and we use it for all kinds of data tabulation. In fact this must have been the most rudimentary data management tools I must have worked with and knowing such tips only adds functuionality to our user experience. Great article. looking forawrd to read more.

  16. Vasanth says:

    Hi Chandoo,

    Thanks for such a nice idea.

    I tried copy paste the data into the validated area, but the pop-up msg (warning msg) doesn't came. Is it something that we need to update the data manually each time,.

    Do we have any option where we can bulk upload the number and it throws a warning message that the data already exits and do we want to continue with this ?

    Please do reply me.

    Thank you.

    Regards,
    Vasanth.

  17. kochu says:

    It was really useful chandoo...thanks a lot...

  18. Leo says:

    Tried this in excel 2010 and it did not work?
    Could the newer excel have changed that much?

    • Hui... says:

      @Leo

      It works fine in Excel 2010

      The formula used above =COUNTIF($B$4:$B$11,B4)<=1

      only applies to the range B4:B11

      Did you adjust the range to your data?

  19. Tariq Khan says:

    This page helped me accurately to find solution of my question. thanx

  20. Murli says:

    we want to prevent duplicate entries in three columns combined, using data validation, i.e. say, column A has first name and Column B has middle name, Column C has last name. the first name can be duplicate, middle name can be duplicate, last name can be duplicate, but not all three at the same time.

  21. Murli says:

    I want to prevent duplicate entries in three columns combine, using data validation, i.e. say, column A has first name and Column B has middle name, Column C has last name. the first name can be duplicate, middle name can be duplicate, last name can be duplicate, but not all three at the same time.

  22. KokTiong says:

    Hi, I've tried above validation method to prevent duplicate value from entering into the cells. It's work, when user key in the data into the selected range. However, it's not working when user copy-&-paste the info into the same range.

    Please advice. Thanks. 

  23. ZAMEER SHAIKH says:

    Hi Chandoo,
     
    Does it work in Excel 2007?
     
    Please Reply

  24. mahavir says:

    thanks chandoo........

  25. SUSHOBH says:

    it does not work when data is copy pasted...any solution for this??

  26. shaloo says:

    hi i m shaloo and i want to know in excel if i write duplicate no.then it says or show about we are write duplicate no.

  27. Kris says:

    Hi Chandoo

    I've tried using this with a Named Range, which is actually a column in a Table as DV wont accept a table reference, and it wont work.
    Also tried using Offset to specify the Named Range, but that wont work either.

    Is it possible to use Named Ranges with DV?

    Thanks
    Kris

  28. Paula says:

    I have tried the above formula on a table column. The Error box does not pop up, there is only the small ! next to the cell with the duplicate. The column I am working with is formulas that produce a date. Is the reason it doesn't work that the cells contain formulas rather than data?

  29. Ken says:

    The formula works but only if I enter data in cell above it. So for example, if I have "123" in B11 it does not allow me to enter "123" in B10, B9, B8, etc. But I can still enter "123" in B12. Please help! 🙂

  30. Karan says:

    Great tip.. thanks a lot

  31. I have 21 years of experience working as data entry assistant. I constantly read several blogs to keep myself up-to-date with the advances in data entry profession. I really enjoyed this blog post. From my several years of experience, I agree with you 100% when you say, “ We all know that data validation is a very useful feature in Excel. You can use data validation to create a drop-down list in a cell and limit the values user can enter. ”

    Keep blogging. I will come here again.

    --data entry assistant

  32. HaroonRashid says:

    Hi,
    This is really very helpful.
    Thank you

  33. Junaid says:

    how can i assign two validation on a single cell
    one is for list validation (means the data should be from that range)
    second i want to prevent them from repetition

    how can i do this ?
    P7 to P506 have GR# which are for list
    i want to prevent C column to not to repeat and should be from the P column

  34. Gaurav says:

    friend can any one tell me the formula
    exname location qty
    gaurav 1 1
    rofan 2 5
    sandeep 3 6
    gaurav 4 3
    rofan 5 4
    sandeep 6 8
    gaurav 7 9

    If this is a data.
    if i want a formula by which if i type gaurav then all the location and qty should be shown in a new page.
    i had 5,00,000 sku so if i punch one name i can get the entire details

  35. Gaurav says:

    IF(ISERROR(INDEX($B$3:$C$9,SMALL(IF($B$3:$B$9=$B$12,ROW($B$3:$B$9)-ROW($C$2)),ROW(A1:C1)),2)),"",INDEX($B$3:$C$9,SMALL(IF($B$3:$B$9=$B$12,ROW($B$3:$B$9)-ROW($C$2)),ROW(A1:C1)),2))
    please explain

  36. MD. RASEL SARDER says:

    YOUR COUNTIF FORMULA IS REALLY HELPFUL AND WORKS. I TRIED SEVERAL SITES BUT THEIR FORMULA DOES NOT WORK. ONLY YOU HAVE GIVEN A RIGHT FORMULA!
    THANK YOU!!!!!

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