Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 7x + 3y subject to 8x + 5y < 800 X + 6y s 350.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
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Set up the simplex matrix used to solve the linear programming problem. Assume all variables are
nonnegative.
Maximize f = 7x + 3y subject to
8x + 5y < 800
x + 6y s 350.
Step 1
We want to set up the simplex matrix that would be used to maximize f = 7x + 3y subject to the following
constraints.
8x + 5y < 800
x + 6y < 350
We start by converting the constraint inequalities into equations by using ---Select---v variables, s1 and s2.
This gives
---Select---
8x + 5y + S1
= 800
dynamic
x + 6y +
= 350.
slack
static
Transcribed Image Text:Tutorial Exercise Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 7x + 3y subject to 8x + 5y < 800 x + 6y s 350. Step 1 We want to set up the simplex matrix that would be used to maximize f = 7x + 3y subject to the following constraints. 8x + 5y < 800 x + 6y < 350 We start by converting the constraint inequalities into equations by using ---Select---v variables, s1 and s2. This gives ---Select--- 8x + 5y + S1 = 800 dynamic x + 6y + = 350. slack static
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