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Max. value of 2m+7n

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August 29, 2010
functionalgebra unsolvedalgebra

Problem Statement

Find the maximum value that the quantity 2m+7n2m+7n can have such that there exist distinct positive integers xi (1≤i≤m),yj (1≤j≤n)x_i \ (1 \leq i \leq m), y_j \ (1 \leq j \leq n) such that the xix_i's are even, the yjy_j's are odd, and ∑i=1mxi+∑j=1nyj=1986.\sum_{i=1}^{m} x_i +\sum_{j=1}^{n} y_j=1986.
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