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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 s 42 5x + 5y s 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 s 42 5x + 5y < 60 We start by converting the inequalities to equations with slack variables. 14x + 7y + S1 = 42 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 - 20 20 y + f = 0 Step 2 The next step is to form the simplex matrix from the set of equations above. Put the coefficients of the constraint equations in the order in which they were presented. Remember to put the coefficients from the objective function in the last row. S1 S2 f first constraint second constraint objective function Enter an exact number.

Tutorial Exercise Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 3x + 20y subject to 14x + 7y s 42 5x + 5y s 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 s 42 5x + 5y < 60 We start by converting the inequalities to equations with slack variables. 14x + 7y + S1 = 42 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 - 20 20 y + f = 0 Step 2 The next step is to form the simplex matrix from the set of equations above. Put the coefficients of the constraint equations in the order in which they were presented. Remember to put the coefficients from the objective function in the last row. S1 S2 f first constraint second constraint objective function Enter an exact number.

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 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 - 20 20 y +f= 0 %3D Step 2 The next step is to form the simplex matrix from the set of equations above. Put the coefficients of the constraint equations in the order in which they were presented. Remember to put the coefficients from the objective function in the last row. S1 S2 first constraint second constraint objective function Enter an exact number.
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 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 - 20 20 y +f= 0 %3D Step 2 The next step is to form the simplex matrix from the set of equations above. Put the coefficients of the constraint equations in the order in which they were presented. Remember to put the coefficients from the objective function in the last row. S1 S2 first constraint second constraint objective function Enter an exact number.
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