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.
66 Responses to “Budget vs. Actual Charts – 14 Charting Ideas You can Use”
[...] Update: Check out the results at Budget vs. Actual Charts [...]
Hi there:
I'm interested in understanding exactly how contestants #'s 1, 8 got their surplus or shortfall to show up at the top of the bar (is this overlapped or stacked somehow) and change colour? I hope this makes sense. I've tried to find samples and I can see contestant 8 (cuboo) may have used something called graphomate but I can't use this.
I need to create a bar chart that shows budget, and actual variance whether it be a surplus or a shortfall and I would like make it look like option 1 or 8 above but haven't a clear idea how to do it...any help would be greatly appreciated!
Regards..Linwe
[...] heute können alle Beiträge auf “Pointy Haired Dilbert” gesichtet und bis zum 12.04. bewertet werden. Falls mein Vorschlag - Nr. 8 - gefällt, freue ich [...]
Danken Sie Excel friend!
#6 is the best here. Simple, no extraneous visual effects.
I was all set to vote for #9...until I noticed its lack of y-axis labels. So I have to go with #6 also.
I think #6,#9 is enough .
#9 is my favorite
Nice data/ink ratio 😉
I agree with Jon - #6 for me.
8 & 14
I go for # 9 (simple) and #14 (complete)
I go for cuboo #8
cheers
#6 for overview at a glance / top management
#8 for deeper analysis / those who need more detailed information
#14 although I think you only need the bottom panel and I then would stack the Center charts vertically to make Center comparisons easier.
#10 gets my vote.
If there is a second place, then #14
denise
Hi, if I was not wrong, Samples 3,4 and 5 were created using Tableau software and not Excel. For more information on Tableau you might want to visit http://www.tableausoftware.com/. It was initially designed by Prof. Pat Hanrahan and his PhD students. I am not their salesperson but I thought someone might want to know more about this particular technology.
Hi Tin Seong Kam:
Thanks - I have looked at Tableau before. I have also found the means to reproduce something similar to chart 8 without using graphomate, and also chart 7. I proposed chart 9 as well but the overlap is confusing to some.
I am really not too concerned about showing actual budget figures but the variance in $ and % is important for my particular use. That is why I gravitate to the charts that seem to easily tell us that we have a surplus or a shortfall.
Thanks!
Linwe
11, 6, 9 (presque pareil)
7 pour la clarté
cuboo #8 ist my favorite
best regards...
8
8 is fantastic
I prefer N#8 - N# 1,7 & 8 use the settings of Rolf Hichert...
6 : The GURU (read "Jon Peltier ") has spoken,
SOO easy on eyes!
Hi Chandoo,
I liked Cuboo's submission. So #8 gets my vote.
Regards,
Sumit
Number 8 by far. Even though it's not part of the data display, the comments feature sells me. Variance explanations are as important as the actual variances.
I visually prefer #8, but #3 is really easier to understand, even if it lacks a lot of information (inverting budget/actual), legend, etc...
[...] All in all there are several great entries suggesting a good variety to present budget vs. actual performance. Go check them out. [...]
[...] reshape, zoo by learnr A reader of a Pointy Haired Dilbert blog enquired about best ways to visualise budget vs. actual performance. In response PHD challenged his blog readers to contribute their visualisations made using Excel or [...]
anyone willing to post their xls for these? Some really excellent exmaples.
To avoid the summary execution of the person presenting these to an executive team these charts must handle overspending as well as underspending, be comprehensible in 5 seconds and show the key fact clearly. The key fact isn't budget or actual - it's the magnitude of the gap!
Therefore:
#14 for nailing the key fact and being able to handle overspending. The winner therefore.
#6 for nailing speed-reading and being able to handle overspending, but somewhat obscuring the key fact. Second place.
#8 for nailing information depth and aesthetics. Third place.
I really wanted #8 to win, but that's the technician's view not the end-user's.
[...] Todas as contribuições podem ser vistas no seguinte endereço: Budget vs. Actual Charts – 14 Options You can Use Posted on April 5th, 2009 http://chandoo.org/wp/2009/04/05/budget-vs-actual-charts/ [...]
Social comments and analytics for this post...
This post was mentioned on Twitter by NancyJHess: I like to explore fav tweets of those I follow. Here is one from DutchDriver http://twurl.nl/17eiap Creative visual charts: Budget vs Actual...
number 8
clean, full of info, qualitative as well as quantitative
Hi,
I Like 4 chart in above as per the following ratings:-
no 1# -> 14***
no 2# -> 7***
no 3 # -> 8**
no 4# -> 1.3**
I will be greateful if someone can send me the process of making all above 4 charts.
Virender
[...] Budget vs. Actual Values in Charts – 14 more options [...]
[...] Budget vs. Actual – 14 charting options [...]
Does anyone know what type of chart #6 is (chart name?)? Also, how do I create this is Excel 2007?
@Shazbot
I'd call it a Column and Bar chart, but don't get hungup on names
To make it try this:
Setup the chart as a Clustered Column Chart
Change the Series so there is 100% overlap, ie: One column is in front of the other
Change the Budget series to a line chart
Set the line color to none
Set the marker style to a Flat Line
Change the marker width to make it the same width as the bar
Change colors and other chart properties to suit
Does anyone have an idea on how to create chart #1?
Thanks
Caroline, please see the german page: http://www.hichert.com/de/software/exceldiagramme/55
there you can find the original example for nr1.
best regards,
stefan
Caroline
This is a Clustered Stacked Column Chart
Which has the column under the Shortfall/Excess colored the same as the Budget
Have a look here
http://chandoo.org/forums/topic/question-about-budget-v-actual
&
http://peltiertech.com/WordPress/clustered-stacked-column-charts/
Hi,
Is it possible to get the source files like the other visualisation challenge (on sales).
Thanks,
Vijay
Dear Chandoo,
I discovered your site by pure chance and I am really thrilled about it and I am learning a lot.
Is it possible to post the source file for this visualisation challenge?
Thanks,
Vijay
[...] Budget vs. Actual Charts in Excel [...]
Dear Chandoo,
How do I create Chart #10 (comparing Budget vs Actual Performaces) by cost center by quarter without the cumulative performance. Do you have an actual example that I could use?
Thanks,
Greg
HI
Does anyone can help me to a to create chart #7? I'm beginer in excel , I started to work two weeks ago and my boss ask me to follow the budget/actual until the end of the year.
SO I really need your help.
Thanks in advance
p.s Sorry for my english ( i'm french)
@OKI, Greg
I have made a mockup of #7 and #10
It is available at:
http://chandoo.org/wp/wp-content/uploads/2009/04/Bud-Act-visualizaion-challenge-7+10..xlsx
#10 is a straight, Pivot Chart/Table but the data has been rearranged to get it into the pivot table
#7 is 2 charts, being a simple Bar Chart and a Scatter Chart with 100% Error Bars
I have used Named Formulas for the two charts.
HELLO Hui
Thanks you very much for your hepl , i really appreciate
Have I nice week
Hi,
I was wondering how can you replicated chart 1.3? The bars looked like there overlapped on two different axis?
Tony
I think 1 & 3 are good.
Hi Chandoo,
Please can you provide a link of the excel sheet for 1. Chart "3 colors and everything is clear"
I would like to drill into the spreadsheet and learn the secrets as how the chart was made.
Many thanks,
Sawan
@Sawan
It is probably 12 seperate charts, I will assume snapped to the underlying cells to ensure they are the same size
The left 3 Charts have a vertical Axis
The bottom 4 Charts have a horizontal Axis
The remainder have no axis
The remaining text maynot be part of the charts but is probably cell content
Saludos,
Como puedo descargar estos maravillosos ejemplos para estudiarlos y analizarlos deseo aprender a realizar este tipo de graficas en Excel.
Gracias,
Dear Chandoo and Hui,
Please would you help me (step by step if possible) to create Chart #8?
Many thanks in advance!
Dear Chandoo,
I think chart #8 is really great. Would really appreciate if you can show basic step to create it.
Thanks 🙂
Hi all,
Is there any step by step tutorial to recreate the the chart #1 please?
Would really appreciate if someone could show me how it done.
Regards
Sawan
Can someone tell me how do you create chart number 2? Thanks!
Am I the only one that can not display any of the images? Would love to take a look at these. This is the ONLY page on the whole website I have had this issue with. 🙁
Dear All,
how can i create chart # 7? is there any link where i can subscribe to your website by paying a certain amount. i want to learn some good excel techniques.
please let me know.
Cant see the images 🙁
Where can I find the link to download some of the above charts?? these are extremely usefull chart and would like to utilize the same.
Waiting for the reply.
Thanks..
I am interested for # 1,6,7,8,9,10,11 its very exciting for me .
Hi,
Just wanted to check, is there any possibility that pivot table or drop down work in power point?
Regards
Satyapal
@Satyapal... you can only use static images or slide animations in Power Point. Not features like pivot tables or drop downs. However, you can embed the entire workbook (or sheet) in a presentation. When clicked this will just open Excel so your users can play with the data.
Is there any instalment kind of facility available for joining the online course of Rs.12000/-.
Regards
Ramesh N
Hi,
I badly want to replicate #10. Can someone help me.. I've checked google to help but I can't figure out how to add the total 🙁
Regards,
Tim