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Calculate the maximum value of the cost function given below, taking into account the other constraint functions given. z = 3 x 1 + 2

Calculate the maximum value of the cost function given below, taking into account the other constraint functions given.

z = 3 x_{1} + 2 x_{2} - 2 x_{3}

4 x_{1} + 2 x_{2} + 2 x_{3} 20

2 x_{1} + 2 x_{2} + 4 x_{3} 6

x_{1}, x_{2} 0

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