Minimize f = x + 2y + 3z subject to the following constraints. x + z < 40 x + y > 70 y + z < 40 X = y = = Z f = II ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Help!! I was told to use the simplex method or Excel and Assume that all variables are nonnegative.

Minimize f = x + 2y + 3z subject to the following constraints.

 

Minimize \( f = x + 2y + 3z \) subject to the following constraints:

\[ 
x + z \leq 40 
\]

\[ 
x + y \geq 70 
\]

\[ 
y + z \leq 40 
\]

Below these constraints, there are fields to input the values for:

\[ 
x = \, \_\_\_\_ 
\]

\[ 
y = \, \_\_\_\_ 
\]

\[ 
z = \, \_\_\_\_ 
\]

\[ 
f = \, \_\_\_\_ 
\]

This section is used to solve linear programming problems by finding the values of \( x \), \( y \), and \( z \) that minimize the objective function \( f \).
Transcribed Image Text:Minimize \( f = x + 2y + 3z \) subject to the following constraints: \[ x + z \leq 40 \] \[ x + y \geq 70 \] \[ y + z \leq 40 \] Below these constraints, there are fields to input the values for: \[ x = \, \_\_\_\_ \] \[ y = \, \_\_\_\_ \] \[ z = \, \_\_\_\_ \] \[ f = \, \_\_\_\_ \] This section is used to solve linear programming problems by finding the values of \( x \), \( y \), and \( z \) that minimize the objective function \( f \).
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