Solve the following problem by Dynamic Programming: Maximize z = (y1 + 2)^2 + y2 * y3...

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Advance Math

Solve the following problem by DynamicProgramming:
Maximize z = (y1 + 2)^2 + y2 * y3 + (y4 - 5)^2
subject to
y1 + y2 + y3 + y4 <= 5
yi >= 0 and integer, i = 1, 2, 3, 4

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