Solve the following problem by DP: Maximize z = 1y1 + 222 + y2 y3 + 1y4

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Solve the following problem by DP:

Maximize z = 1y1 + 222 + y2 y3 + 1y4 - 522 subject to y1 + y2 + y3 + y4 … 5 yi Ú 0 and integer, i = 1, 2, 3, 4

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