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(a) Find the maximum value of 3x+7y+5z subject to the constraints x+y+z113 and 4x+2y+z164 with x,y and z0. Do this by determining the vertices of

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(a) Find the maximum value of 3x+7y+5z subject to the constraints x+y+z113 and 4x+2y+z164 with x,y and z0. Do this by determining the vertices of the feasibility set. (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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