Linear Programming –Linear Programming –The MagicianThe Magician

Ian Fleming, Katie Bavinder, Ian Fleming, Katie Bavinder, Rachel AkeyRachel Akey

ProblemProblem

School has hired a professional School has hired a professional magicianmagician

Guaranteed audience of at least Guaranteed audience of at least 1000 people1000 people

Total ticket receipts of at least $4800Total ticket receipts of at least $4800Students = $4Students = $4Non-students= $6Non-students= $6Magician receives $2.50 and $4.50 Magician receives $2.50 and $4.50

Equation for the amount of Equation for the amount of moneymoney

4x+6y4x+6y≤4800≤48006y≤4800-4x6y≤4800-4xy≤800-(2/3)xy≤800-(2/3)x

Equation for the number of Equation for the number of peoplepeople

X+yX+y≤1000≤1000y≤1000-xy≤1000-x

GraphGraph

m= 2.50X+4.50Y

m ≤ $2,500

Points:

(0,800)(600,400)(1000,0)