: (a) Find the maximum value of 4x + 3y+ 2z subject to the constraints x+y+z < 100 and 4x + 2y +z < 160 with x, y and z > 0. 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.

: (a) Find the maximum value of 4x + 3y+ 2z subject to the constraints x+y+z < 100 and 4x + 2y +z < 160 with x, y and z > 0. 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.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...

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