High School

Minimize \(-Z + 5x_1 + 2x_2 + 3x_3 + Mx_6^- = 0\)

Given that:
\[ 9x_1 + 3x_2 + 5x_3 + x_4 = 50 \]
\[ 5x_1 + 4x_2 + x_5 = 35 \]
\[ 3x_1 + 2x_2 + x_6^- - x_7 = 15 \]

Answer :

Final answer:

To minimize the expression, substitute values from the given equations into the expression and solve the system of equations.

Explanation:

To minimize the expression −Z+5x₁​+2x₂+3x₃​+Mx₆ˉ​=0, we can use the given set of equations to determine the values of the variables. From the equations

9x₁ + 3x₂ + 5x₃ + x₄ = 50
5x₁ + 4x₂ + x₅ = 35
3x₁ + 2x₂ + x₆ˉ​ - x₇ = 15

we can substitute the values of x₁, x₂, x₃, and x₆ˉ​ into the expression to find the minimum value. Solving the system of equations will provide us with the values. Once we have the values, we can substitute them into the expression to find the minimum value.

Learn more about Minimizing an expression here:

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