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.
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.)
- 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:
- 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:
- 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.
- 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.
- Once we determine the age for a given acreage, we looked up the yield for that age in the second table
- 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.
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)
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
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.
32 Responses to “More than 3 Conditional Formats in Excel”
Dude,
Long time... whts up , I see that urs is the only business which is posting a "Excel" lent growth in this recessionary market....
Still alive ... so you will be able to reach me if make an attempt... 🙂
V E R Y N I C E !!!!
Hi Chandoo.
When I use your macro in my file, I keep getting a Compile Error because the "cell" variable is not defined.
Any suggestions?
@Lincoln: Did you have "option explicit" on?
I am sorry, I didn't define the cell variable.
you can add this line to the code just below the line "dim i"
dim cellLet me know if you still get this error...
Ah. I've simply declared cell as a range.
All good now
Noob at work.
Thanks for the article. Very helpful. 🙂
very, very helpful. I didn't know what "define named ranges" meant. one of my colleagues figured it out. I suggest you add the instruction "go to menu - insert/name/define and then make sure the cells at the bottom of the box change to reflect new values if you redefine the range." thanks.
Quite Intresting. If anyone could help. I am trying to do something like this but i want to define values and colours of the value in a range of cells ( Similiar) but i want the other cells to change colour when the value is same as the range defined. ANy help. I want instantaneous( Like conditional formatting) not like running macro.
@Jahabar: Welcome to PHD and thanks for the comments.
If your source range and target range have same dimensions and source range has 4 different formats (conditional formatting limitation, unless you are using excel 2007) you can do this. If you have more than 4 formats then you may have to use VBA (and create an event like worksheet_change and monitor the range).
Let me know if you come across a simple non-vba solution for this. 🙂
very nice post...
May I suggest a little modification of the code?
Adding "Application.ScreenUpdating = False" at the beggining of the macro and "Application.ScreenUpdating = True" at the end speeds up significantly the whole procedure. As well as omitting "Operation:=xlNone, SkipBlanks:=False, Transpose:=False".
Not a big deal in this example, but when formatting a larger range of cells, the difference is marked. I've tried to format the number 1457 of cells and the formatting was done 11 seconds faster. :-O
[...] you can overcome the conditional formatting limitation using VBA macros (again, if you are new to excel, you may want to wait few weeks before plunging in to [...]
Hi Chandoo
Thanks for this macro. I have done few changes to this macro to suit my needs. I had removed the defined names data2use and conditions2use to ActiveWindow.RangeSelection.Address
This way I can select the cells that require conditional formatting and then run the macro.
Kind Regards,
Vasanth
Chandoo, I am using 2007. I noticed the conditional formatting options are different - and they have some built in funtictions for stop light displays, and other dashboard type elements. My question is this, I need to display more colors in the stop light than the standard 3. The World Health Org (WHO) has a Pandemic Flu alert level between 0-6, so i wanted to drive a sharepoint dashboard using excel based on 7 distinct levels. Suggestions?
@ASM: very good idea. you can use font based symbols instead of excel traffic light icons to achieve this. the character "=" becomes a small circle when you change the font to "webdings". So you just need to insert a bunch of = signs and use conditional formatting to change the font color. If you need to combine numbers with symbols, then you can use 2 columns instead of one and format them accordingly. Let me know if you need some more help with this.
Also, if possible, share with us your dashboard when it is ready.
[...] Once we calculate values for all team members using the above formula, we can apply conditional formatting to make the heat map. In Excel 2007, this is one step. In earlier versions of excel, you need to specify 3 conditions to make the heatmap look hot enough or use a macro to get over the 3 conditional formats limitation. [...]
Chandoo,
Why do you use the "conditions2use" since you can change the VBA and replace "conditions2use" with "data2use" and you won't have to create a zone for conditional formating equal to the data zone.
The Data will be formated according the "formats2use". Just one thing, if you plan to have some "0" on your data zone, they will be formated like the first cell above your "formats2use" (the green cell with "Formats" inside in your exemple".
That's why you should leave a white empty cell above the first cell of the "formats2use" zone.
Regards,
Pitichat
Seeing as no one has posted what they actually might use something like this for here's my 2cents;
I used the same concepts to build a heatmap of a casino gaming floor, with each populated cell representing a gaming machine (Slot Machine), some simple metric bucketing to determine different shades for the cells, user selectable colours, ability to pick a 'machine' (click on a cell) and repaint the 'floor' showing only machines with similar charateristics, select a value range and repaint the 'floor' showing only the 'machines' within the value range. Users could switch between metrics and repaint the the floor.
It took a while to put together, but once in use was rolled out to four casinos and used for 4 years. It provided a portable (i.e. no custom software), easy to understand way to manage product from individual machine to groups / classes of product and made it very easy to see how products were performing in geographic relation to each other (something that tables & graphs can't easily do)
Needless to say it "wowed" many people who only saw Excel as a tool for managing numbers and table based reports
Being excel just about any user could maintain spreadsheet.
@ Justin B - Hey Justin, that counds AWESOME! Can I get a copy of the casino tracker, I work within a similar industry and would love to see how you've constructed it.
Also, from using this heatmap, I think I'm getting confused. To make the map change color, I thought you had to change the DATA2USE cells, but I see it only changes if you change the vales of thew cells within the CONDITIONS2USE cells. Am I thinking this wrong?????
Thanks all, this is REALLY making my life easier!!
Hi Dude,
Thanks for this very useful macro. That was very helpful.
Kepp up the good work.
Cheers.
Explanation like yours is so important to everyone that want to learn more and more in Excel. Thanks a lot. You are the man ! 🙂
[...] http://chandoo.org/wp/2008/10/14/more-than-3-conditional-formats-in-excel/ [...]
Chandoo,
If I wanted to replace the numbers 1-9 with text A-I, what would I need to do to the macro to make it work correctly?
Thanks!
@Lee
If the numbers are alone and not part of larger numbers >10 or with text you can simply use this formula
=CHAR(A1+64)Change A1 to your cell
Copy Down/Across as required
Then select the new cells and copy/paste as Values over themselves.
I'm trying to do a drop down list that will allow me to select a color and when I select that color it will change my cell to that color. i cannot use contion formating because I have 5 colors. Can you help me with this?
thanks
This tool was great. Can you please suggest a way to include conditions like if value in a cell lies in a range color some other cell red.
What do I need to change in the programing if I have a mix of numbers and letters. Example; 5003, 2B01, W005, 1020. I think the problem is the CInt code but I'm not sure.
EXCELlent - was able to use your macro with no problems. Found that modifying it to use the DATA2USE range achived the same result as using the condition2use range. If the two ranges were equal, your way allows the data range to have completely different values and still have the same color format at the end.
My data is a little different
I have an irregular shaped building with students in it.
I have a list of students assigned to the rooms with the courses they are on
and a color code for the courses
would there be a way of using indirect to translate the student names to color code the rooms to what courses they are on?
[...] hi Check below link More than 3 Conditional Formats in Microsoft Excel - How to? | Chandoo.org - Learn Microsoft Excel O... [...]
The ability to conditional format a range of cells based on criteria in a different, but matching for size, range of cells is exactly what I've been looking for. Unfortunately the macro falls over at the line conditions (i) = CInt (cell.value). I have specified the 3 rangenames, working in excel 2003 but cannot get it to work. Any ideas. I've checked rangenames several times (0-16 being used) but no luck. Thanks
Hello you also can use this code to force ur worksheet to run with more then on condition.
in this case the condition = case like in example if u want to format something between of the range 0 to 100 for a color
Set I = Intersect(Target, Range("B2:B8")) <-- thatch the rage u want to work with just set it up for range of cell u want to use to format
the second formula will show u Interior color nr index just time it and when u format the cell with a color it will show nr in the cell
enjoy
Private Sub Worksheet_Change(ByVal Target As Range)Set I = Intersect(Target, Range("B2:B8"))
If Not I Is Nothing Then
Select Case Target
Case 0 To 100: NewColor = 37 ' light blue
Case 101 To 200: NewColor = 46 ' orange
Case 201 To 300: NewColor = 12 ' dark yellow
Case 301 To 400: NewColor = 10 ' green
Case 401 To 600: NewColor = 3 ' red
Case 601 To 1000: NewColor = 20 ' lighter blue
End Select
Target.Interior.ColorIndex = NewColor
End If
End Sub
Private Sub Worksheet_SelectionChange(ByVal Target As Range)
Range("F1:F1") = Range("F1:F1").Interior.ColorIndex
End Sub
Hi Chandoo,
I tried to add the "More than 3 conditional formats for Excel" VBA macro
to my Excel 2008 for Mac and it didn't work. Would this VBA macro work
with Excel 2011 for Mac? Does it have to be a certain version: Student,
Home & Office, or Standard?
Thanks for your help.
Tom
[…] here is one vba macro that might be better if need lots of cases http://chandoo.org/wp/2008/10/14/more-than-3-conditional-formats-in-excel/ […]