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Math Help - Graphing Linear Equations, Word Problem

  1. #1
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    Graphing Linear Equations, Word Problem

    A factory assembles two types of motors, small and large.
    The cost of material is $15 for a small motor, and $30 for a large motor.
    Two hours of labor are needed to assemble a small motor and six hours for a large.
    The cost of labor is $8/hour.
    The owner can allocate at most $1500/day for material and $2000/day for labor.
    Find the largest daily profit that the owner can make if the small motors are sold for $40 each and the large motors for $104 each. Assume every motor produced is sold.

    So far I have :

    x=small motors y=large motors

    x > 0
    y > 0

    15x+30y < 1500
    y < -1/2x+50

    Currently I'm stumped on the part of the equation that would determine the cost of labor.
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  2. #2
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    Quote Originally Posted by Blue54 View Post
    Currently I'm stumped on the part of the equation that would determine the cost of labor.
    Two hours of labor are needed to assemble a small motor and six hours for a large.
    The cost of labor is $8/hour.

    8(2x + 6y)<2000

    x+3y<2000/16

    y< (125-x)/3
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