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Math Help - Can anyone help me? Im having trouble with linear programming.

  1. #1
    Junior Member
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    Can anyone help me? Im having trouble with linear programming.

    A reptile farm houses new lizards and frogs. The amount of space required and the total space available, the cost for food per month and the total food budget per month, as well as the profit for each reptile is given in the table. How many lizards and how many frogs should the farm sell in order to maximize the profit?
    Lizard Frog Total available
    Space required 2 sq. ft 2 sq. ft. 400 sq. ft

    Food budget
    per month $6 $1 $600

    Profit $17 $6

    Let x= # of lizards?
    Let y= # of frogs?

    Objective function: no idea

    Constraints: I dont know either

    Can someone please help?
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  2. #2
    Senior Member
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    Let x= # of lizards
    Let y= # of frogs

    we need to maximize the profit, that is 17x + 6y
    with constraints :

    2x + 2y \leq 400
     6x + y \leq 600
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  3. #3
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    Okay and your sure about that
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  4. #4
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    Now what would the vertices be?
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