Consider the following linear programming problem. Maximize P = 5x + 7y + 8z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + z ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P = subject to ≤ 900 ≤ 350 ≤ 400 x ≥ 0 y ≥ 0 z ≥ 0 (b) Write the initial simplex tableau. x y z w u v P Constant 900 350 400 0

Consider the following linear programming problem. Maximize P = 5x + 7y + 8z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + z ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P = subject to ≤ 900 ≤ 350 ≤ 400 x ≥ 0 y ≥ 0 z ≥ 0 (b) Write the initial simplex tableau. x y z w u v P Constant 900 350 400 0

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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Question

Consider the following linear programming problem.

Maximize

P = 5x + 7y + 8z

subject to the constraints

2x	+	3y	+	z	≤	900
3x	+	y	+	z	≤	350
4x	+	2y	+	z	≤	400

x ≥ 0, y ≥ 0, z ≥ 0.

(a) Write the linear programming problem as a standard maximization problem.

Maximize

subject to

	≤	900
	≤	350
	≤	400
x ≥ 0
y ≥ 0
z ≥ 0

(b) Write the initial simplex tableau.

x	y	z	w	u	v	P	Constant
							900
							350
							400
							0

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