Problem #4: (a) Find the maximum value of 2x + 3y + 7z subject to the constraints x +y +z ≤ 123 and 4x + 2y + z ≤ 188 with x,y and z 20. Do this by determining the vertices of the feasibility set. Problem #4(a): Problem #4(b): (b) At what point does this maximum occur? If the point is (a, b, c) then enter the values of a, b, and c (in that order) into the answer box below, separated with a comma.

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