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Show that the minimum of Z occurs at mor...

Show that the minimum of Z occurs at more than two points : Minimise and Maximise `Z = x + 2y`subject to `x+2ygeq100 ,2x-ylt=0,2x+ylt=200 ;x ,ygeq0`.

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To solve the problem of minimizing and maximizing \( Z = x + 2y \) subject to the constraints given, we will follow these steps: ### Step 1: Write down the constraints The constraints provided are: 1. \( x + 2y \geq 100 \) 2. \( 2x - y < 0 \) (or \( y > 2x \)) 3. \( 2x + y < 200 \) (or \( y < 200 - 2x \)) 4. \( x \geq 0 \) ...
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