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I'm not sure how to formulate that in terms of maths.

I have four input variables whose value is arbitrary (among positive integers):

  • nOpposition
  • nGovernment
  • nCrossbenchers
  • nSpeaker

I have four output variables (with positive integer values):

  • wingRows
  • wingCols
  • crossRows
  • crossCols

I have a set of constraints that need to be satisfied:

  • nOpposition <= wingRows * wingCols
  • nGovernment <= wingRows * wingCols
  • nCrossbenchers <= crossRows * crossCols
  • crossRows <= wingRows*2 + 2
  • nSpeaker <= wingRows*2 + 2

I want to find a formula that will give me, for a set of given input values, the set of output values that will minimize :

  • | (2 + wingCols + crossCols) / (2 * wingRows + 2) - 2 |

(Yes, it's an absolute value.)

I have no idea how to go about this.

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  • $\begingroup$ what about brute force? $\endgroup$ Commented Sep 6 at 15:22

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