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Math Help - Really could use some help with this one...

  1. #1
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    Really could use some help with this one...

    A clothing manufacturer has 100m of silk and 180m of wool. To make a suit requires 2m of silk and 3m of wool, and to make a dress requires 1m of silk and 2m of wool. If the profit on a suit is $108 and the profit on a dress is $60, how many suits and dresses should the manufacturer make to maximize the profit?


    I can't seem to get it. I tried the following but I get stuck big time:

    silk = 100 m
    wool = 180 m



    suit = 2 meters of silk and 3 meters of wool
    dress = 1 meters of silk and 2 meters of wool

    profit = (108)*(# of suit sold) + (60)*(# of dress sold)
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  2. #2
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    Consider the following, make D = the number of dresses made and S = the number of siuts made

    Silk: D+2S \leq 100

    Wool: 2D +3S \leq 180

    Sketch these on a cartesian plane with S and D axis.

    Then check corner points for P = 60D+108S
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