Inserting Logic inside an Array Formula

B

BMPeers

New Member
Joined
Nov 5, 2004
Messages
36
Dear Mr Excel Gurus,
<br />
<br />
Its nearly ten years since I have joined the board, and I still need your help and wisdom. I think this should be quite easy, but I have struggled with this problem. The problem essentially involves inserting an ‘if’ statement inside an array formula.
<br />
<br />
In column A is count of items distributed by age. The total is 389 items. I want to reduce this count by 55 in total. The current chance of an item being removed is shown by the distribution in column B, if this was applied I would lose 9.481 from the original count, as per column C.
<br />
<br />
To remove more items I have used a factor in C1 (currently set to 5), this increases the chance of an item being removed, ie. Column E = column B * 5. However the total being removed can never be greater than 1, see for example row 32.
<br />
<br />
This is why although the factor is 5 I still have not removed 55 items. What I could do is set a goal seek to change F34 to 55, by altering cell E2. However I can’t run a goal seek in this model.
<br />
<br />
Is it possible to find the factor required using only an array formula, with the array in column A, column B and the target 55??
<br />
<br />
Many Thanks in advance
Brian


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<td class=xl1511956>Factor</td>
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<td class=xl6511956>Original Count</td>
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<td class=xl7011956>0.257</td>
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<td class=xl7011956>0.310</td>
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<td class=xl7011956>0.324</td>
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<td class=xl7011956>0.416</td>
<td class=xl6711956>1.62</td>
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<td class=xl7011956>0.324</td>
<td class=xl7011956></td>
<td class=xl7011956>0.454</td>
<td class=xl6711956>1.62</td>
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<td class=xl7011956>0.100</td>
<td class=xl7011956>0.324</td>
<td class=xl7011956></td>
<td class=xl7011956>0.499</td>
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<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>22</td>
<td class=xl6411956>3</td>
<td class=xl7011956>0.111</td>
<td class=xl7011956>0.324</td>
<td class=xl7011956></td>
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<td class=xl7011956>0.125</td>
<td class=xl7011956>0.324</td>
<td class=xl7011956></td>
<td class=xl7011956>0.624</td>
<td class=xl6711956>1.62</td>
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<td class=xl7011956>0.138</td>
<td class=xl7011956>0.313</td>
<td class=xl7011956></td>
<td class=xl7011956>0.688</td>
<td class=xl6711956>1.56</td>
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<td class=xl7011956>0.160</td>
<td class=xl7011956>0.313</td>
<td class=xl7011956></td>
<td class=xl7011956>0.798</td>
<td class=xl6711956>1.56</td>
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<td class=xl7011956>0.190</td>
<td class=xl7011956>0.313</td>
<td class=xl7011956></td>
<td class=xl7011956>0.950</td>
<td class=xl6711956>1.56</td>
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<td class=xl6411956>1</td>
<td class=xl7011956>0.234</td>
<td class=xl7011956>0.313</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>1.33</td>
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<tr height=10 style='height:12.75pt'>
<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>28</td>
<td class=xl6411956>1</td>
<td class=xl7011956>0.306</td>
<td class=xl7011956>0.313</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>1.02</td>
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<tr height=10 style='height:12.75pt'>
<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>29</td>
<td class=xl6411956>1</td>
<td class=xl7011956>0.200</td>
<td class=xl7011956>0.142</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>0.71</td>
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<tr height=10 style='height:12.75pt'>
<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>30</td>
<td class=xl6411956>1</td>
<td class=xl7011956>0.250</td>
<td class=xl7011956>0.142</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>0.57</td>
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<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>31</td>
<td class=xl6411956>0</td>
<td class=xl7011956>0.333</td>
<td class=xl7011956>0.142</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>0.43</td>
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<tr height=10 style='height:12.75pt'>
<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>32</td>
<td class=xl6411956>0</td>
<td class=xl7011956>0.500</td>
<td class=xl7011956>0.142</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>0.28</td>
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<td height=10 class=xl6911956 style='height:12.75pt;border-top:none'>33</td>
<td class=xl6411956>0</td>
<td class=xl7011956>1.000</td>
<td class=xl7011956>0.142</td>
<td class=xl7011956></td>
<td class=xl7011956>1.000</td>
<td class=xl6711956>0.14</td>
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<td class=xl7111956>389</td>
<td class=xl1511956>SUM</td>
<td class=xl7011956>9.481</td>
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<td class=xl1511956>SUM</td>
<td class=xl6811956 align=right>45.21</td>
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<td class=xl1511956></td>
<td class=xl1511956></td>
<td class=xl1511956></td>
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<td class=xl1511956></td>
<td class=xl1511956></td>
<td class=xl1511956></td>
<td class=xl1511956></td>
<td class=xl1511956>TARGET</td>
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Hello Brian, assuming the result you want will be somewhere in the range 1 to 10 then try this "array formula"

=MATCH(55,MMULT(IF(ROW(INDIRECT("1:10000"))/1000*TRANSPOSE(B4:B33)>1,1,ROW(INDIRECT("1:10000"))/1000*TRANSPOSE(B4:B33)),A4:A33),1)/1000

confirmed with CTRL+SHIFT+ENTER

that effectively generates 10000 results with your factor set at every 0.001 from 0.001 to 10 then MATCH finds the nearest match to get 55. Because of the way it calculates it will only be accurate to the nearest 0.01. For your example I get 6.237
 
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