Maximizing the Sum of Array Values while Limiting the other

tadisc

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Hi all - new to the forum so thanks in advance for any help. I have a interesting problem I came a cross in building a spreadsheet recently. Essentially, I'm trying to maximize values in a data set with certain limitations. I'm fairly good with math overall and in college took all kinds of advanced math classes, but that was 6 years ago and I'm not entirely certain where to start. Can anyone help point me in the right direction here? Note that I am trying to build a general formula in excel for larger data sets with similar limitations. So the objective is to come up with a formula or methodology rather than an answer here. Thanks!


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Hi all - new to the forum so thanks in advance for any help. I have a interesting problem I came a cross in building a spreadsheet recently. Essentially, I'm trying to maximize values in a data set with certain limitations. I'm fairly good with math overall and in college took all kinds of advanced math classes, but that was 6 years ago and I'm not entirely certain where to start. Can anyone help point me in the right direction here? Note that I am trying to build a general formula in excel for larger data sets with similar limitations. So the objective is to come up with a formula or methodology rather than an answer here. Thanks!


View attachment 22755
I do not understand the objective at all! Can you please provide an example using the data-set above?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
Did you see the attached picture? That has the data set and the problem written out.
 
I have copied it below for convenience:

Select 4 pairs of X & Y, and 2 pairs of W & U from the arrays below. Solve the following problem: Determine the pairs to select in order to maximize the sum of the Ys and the Us, while keeping the sum of the Xs and Ws under 6000.

X11050Y1250W1982U1250
X21040Y2225W2968U2210
X31033Y3220W3950U3200
X41000Y4215W4957U4180
X5989Y5190W5953U5155
X61021Y6185W6940U6110
X7990Y7183W7937U770
X81015Y8181W8949U850
X91010Y9175W9936U930
 
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