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Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 3x + 20y subject to 14x + 7y < 42 5x + 5y < 60.

Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 3x + 20y subject to 14x + 7y < 42 5x + 5y < 60.

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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Tutorial Exercise Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 3x + 20y subject to 14x + 7y < 42 5x + 5y < 60. Step 1 We want to use the simplex method to maximize the function f = 3x + 20y subject to the constraint inequalities below. 14x + 7y < 42 5x + 5y < 60 We start by converting the inequalities to equations with slack variables. 14x + 7y + s1 = 42 %3D 5x + 5y + S2 = 60 We also need to rewrite the objective function so that all the variables are on the left. This gives us the following. -3x - y + f =
Transcribed Image Text:Tutorial Exercise Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 3x + 20y subject to 14x + 7y < 42 5x + 5y < 60. Step 1 We want to use the simplex method to maximize the function f = 3x + 20y subject to the constraint inequalities below. 14x + 7y < 42 5x + 5y < 60 We start by converting the inequalities to equations with slack variables. 14x + 7y + s1 = 42 %3D 5x + 5y + S2 = 60 We also need to rewrite the objective function so that all the variables are on the left. This gives us the following. -3x - y + f =
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