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Linear Programming – The Magician

Linear Programming – The Magician. Ian Fleming, Katie Bavinder, Rachel Akey. Problem. School has hired a professional magician Guaranteed audience of at least 1000 people Total ticket receipts of at least $4800 Students = $4 Non-students= $6 Magician receives $2.50 and $4.50.

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Linear Programming – The Magician

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  1. Linear Programming –The Magician Ian Fleming, Katie Bavinder, Rachel Akey

  2. Problem • School has hired a professional magician • Guaranteed audience of at least 1000 people • Total ticket receipts of at least $4800 • Students = $4 • Non-students= $6 • Magician receives $2.50 and $4.50

  3. Equation for the amount of money • 4x+6y≤4800 • 6y≤4800-4x • y≤800-(2/3)x

  4. Equation for the number of people • X+y≤1000 • y≤1000-x

  5. Graph Points: (0,800) (600,400) (1000,0) m= 2.50X+4.50Y m ≤ $2,500

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