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(a) Find the maximum value of 7x + 2y + 3z subject to the constraints x + y + z ≤ 69 and 4x + 2y + z ≤ 96 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 7x + 2y + 3z subject to the constraints x + y + z ≤ 69 and 4x + 2y + z ≤ 96 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the maximum value of 7x + 2y + 3z subject to the constraints x + y + z ≤ 69 and 4x + 2y + z ≤ 96 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.
Transcribed Image Text:(a) Find the maximum value of 7x + 2y + 3z subject to the constraints x + y + z ≤ 69 and 4x + 2y + z ≤ 96 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.
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