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

Equation for the amount of money
4x+6y≤4800
 6y≤4800-4x
 y≤800-(2/3)x

Equation for the number of people
X+y≤1000
 y≤1000-x

Graph
Points:
(0,800)
(600,400)
(1000,0)
m= 2.50X+4.50Y
m ≤ $2,500