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# Liner Interpolation Problem for Balanced Scorecard

Can anyone assist my problem?

I have a balanced scorecard which I made and is almost perfect.

The following criteria are crucial:

Last Year - This is 50% of the allotted points

Plan - This is 75% of the allotted points

Stretch - This is 100% of the allotted points

So, If we look at Profit Margin, and the allotted point value is 35 where an increase is what you want, my formula which Ingeborg Hawighorst made for me works as seen below:

=IF(ytd>=stretch,weighted_value,IF(ytd>=plan,((weighted_value-((weighted_value/ytd)*plan))+weighted_value)*0.75, IF(ytd>=last_year,((35-((35/ytd)*last_year))+35)*0.5)))

However, for Safety Accidents, Less is better and doesn't seem to calculate properly. Im thinking it is a BEDMAS issue maybe?

Safety Accidents Data

Last year 200        Plan 150         Stretch 100

Safety Accidents (Lets us 35 as the allotted points for example)

Last year 200 accidents. In the formula, this should reflect 17.5 out of 35 points

Plan 150 accidents. In the formula, this should reflect 26.25 points

Stretch 100 accidents. In the formula, this should reflect 35 points

The formula above seen in the Profit Margin does not work if the values are decreasing. It may be an order of operations error because the values are decreasing not increasing.

I have tried the following formula which is EXTREMELY close to working:

=IF(YTD>=Last_Year,0.5*Weighted_Value,IF(YTD<=Stretch,Weighted_Value,((Weighted_Value-0.5*Weighted_Value)/(Last_Year-Stretch))*(YTD-100)))

These are the values I get with the above formula if I enter the following data in the YTD cell:

Safety Accidents (Lets us 35 as the allotted points for example)

(Last year = 500. Plan = 400. Stretch = 300)

500 accidents. In the formula, 17.5 out of 35 points (Correct)

450 Accidents. In the formula, 30.63 out of 35 points (Incorrect)

400 accidents. In the formula, 26.25 out of 35 points (Correct)

350 Accidents. In the formula, 21.88 out of 35 points (Incorrect)

300 accidents. In the formula, 35 out of 35 points (Correct)

6 Replies

# Re: Liner Interpolation Problem for Balanced Scorecard

Would like to finally complete this. Can anyone assist?

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# Re: Liner Interpolation Problem for Balanced Scorecard

Perhaps, no one can imagine such a complex situation without attaching your sample file. The absence of your sample file also explains why you received no conceivable response until now.
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# Re: Liner Interpolation Problem for Balanced Scorecard

Thank you for your response. I will try to upload tomorrow. I wasn’t aware I could add a file in here
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Solution

# Re: Liner Interpolation Problem for Balanced Scorecard

@Will_Sarty01 , if you mean this thread https://techcommunity.microsoft.com/t5/Excel/Balanced-Scorecard-Sliding-Scale-formula-problem/m-p/29... where @Ingeborg Hawighorst  answered, I guess you shall just revert your formula in opposite direction, like

```=IF(ytd<=stretch,
35,
IF(ytd<=plan,
26.25+(plan-ytd)/(plan-stretch)*(35-26.25),
IF(ytd<=last_year,
17.5+(last_year-ytd)/(last_year-plan)*(26.25-17.5),
17.5)
)
)```

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# Re: Liner Interpolation Problem for Balanced Scorecard

this solved everything! Thank you so much!!

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# Re: Liner Interpolation Problem for Balanced Scorecard

@Will_Sarty01 , you are welcome