The Key to Success

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The Key to Success

• By Joey Haney

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IMPORTANT INFORMATION

• Area of the parking lot is 600 square meters
• A car requires 6 square meters
• A bus requires 30 square meters
• 60 vehicle limit
• Car-2.50
• Bus-7.50

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Question??????

• HOW MANY OF EACH VEHICLE SHOULD WE ACCEPT TO
  MAXIMIZE INCOME?

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DEFINE YOUR VARIABLES

• X REPRESENTS THE NUMBER OF CARS
• Y REPRESENTS THE NUMBER OF BUSES

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SYSTEM OF CONSTRAINTS

• X Y ? 60
• 6X 30Y ? 600

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INCOME FUNCTION

• I(X,Y) 2.5X 7.5Y

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TO FIND THE AMOUNT OF CARS AND BUSES THAT WILL
MAXIMIZE INCOME

• SUBSTITUTE THE VERTICES OF THE FEASIBLE REGION
  INTO THE INCOME FUNCTION
• I(0,0)2.5(0) 7.5(0)0
• I(0,20)2.5(0) 7.5(20)150
• I(50,10)2.5(50) 7.5(10)200
• I(60,0)2.5(60) 7.5(0)150

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SUMMARY

• FOR OUR COMPANY TO MAXIMIZE INCOME, THE
  ATTENDANTS WILL NEED TO ACCEPT 50 CARS AND 10
  BUSES FOR A TOTAL OF 200.