Use the simplex method to solve the following problem. Find y1 ??0, y2 ? ?0, and y3 ? 0 such that
2 y1 + 7 y2 + 3 y3 ? 11?,
2 y1 + 14 y2 + 8 y3 ? 1010?,
and
w = 12 y1 + 42 y2 + 59 y3 is minimized.
The minimum value w = ___ occurs when y1 = ___?, y2 = ___?, andy3 = ___.
?(Simplify your? answers.)
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