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Minimize z = 20 x + 10 y , subject...

Minimize ` z = 20 x + 10 y ` , subject to
` x + 2y le 40 , 3x + y ge 30, 4x + 3y ge 60, x ge 0 , y ge0 `.

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To solve the linear programming problem of minimizing \( z = 20x + 10y \) subject to the given constraints, we will follow these steps: ### Step 1: Write down the constraints The constraints given are: 1. \( x + 2y \leq 40 \) 2. \( 3x + y \geq 30 \) 3. \( 4x + 3y \geq 60 \) 4. \( x \geq 0 \) ...
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