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Math Help - Really difficult linear optimization problem from my book

  1. #1
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    Unhappy Really difficult linear optimization problem from my book

    Here is the link to the problem
    http://i.imgur.com/3MDmG.jpg

    I really appreciate any help on this problem.
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  2. #2
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    Re: Really difficult linear optimization problem from my book

    Nevermind, I figured it out.

    10hrs (max possible) of tutoring at $15/hr = $150
    10hrs of delivery at $8/hr = $80
    for a total of $230.
    I would set up a function to be maximized, and then read through the constraints and list them:
    let y= pizza hours
    let x = tutor hours
    then we want max of 15x + 13y, where x+y <= 20 and x <= 10. (x , y > 0).

    Graph the equations, find vertices, plug vertex coordinates in to 15x +13y, find max altered vertex value.

    Should leave you with 230$ possible max profit.
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