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Thread: Grade 11 Practice Exam Math Question

  1. #1
    s3a is offline
    Super Member
    Nov 2008

    Grade 11 Practice Exam Math Question

    Can someone explain to me how to do #12 please?
    Attached Thumbnails Attached Thumbnails Grade 11 Practice Exam Math Question-0008.jpg  
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  2. #2
    MHF Contributor
    Grandad's Avatar
    Dec 2008
    South Coast of England

    Maximum profit

    Hello s3a

    The maximum profit will occur at one of the vertices of the shaded polygon. You could begin by sketching on the graph a profit line, choosing a suitable value of P; e.g. P = 60 giving x + 3y = 60. Then any other profit line will be parallel to this one, and so you then move the line up the graph until it is at its highest point while still retaining at least one point within the shaded area.

    However, in this example, the easiest way to find out which vertex is best is probably by trial and error, since the arithmetic is simple. The only realistic possibilities are (60, 40) and (100, 0). So:

    • At (60, 40) he sells 60 bags of coffee and 40 boxes of chocolate. How much profit should he make? How much did he actually make?
    • Repeat for (100, 0).
    • Choose the best one. Don't forget to answer the question: write down the decrease in his earnings.

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