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Math Help - Differential calculus: Maxima and minima problem (project)

  1. #1
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    Red face Differential calculus: Maxima and minima problem (project)

    DIFFERENTIAL CALCULUS: MAXIMA AND MINIMA

    1. DESIGNING A POSTER
    You are designing a rectangular poster to contain 50in^2 of printing with a 4-in. margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?
    Can you show it to me how it looks like? -_-
    And how do you solve this problem using the maxima and minima? thanks in advanced!
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  2. #2
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    Re: Differential calculus: Maxima and minima problem (project)

    Let the paper be x inches wide and y inches high. Since you want 4 inch margins at top and bottom, and 2 inch margins at each sidea, what are the dimensions of the actual printing area? Set that area equal to 50. You want to minimize xy subject to that constraint.
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    Re: Differential calculus: Maxima and minima problem (project)

    can u demonstrate to me how to calculate this problem? )
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    Re: Differential calculus: Maxima and minima problem (project)

    Quote Originally Posted by HallsofIvy View Post
    Let the paper be x inches wide and y inches high. Since you want 4 inch margins at top and bottom, and 2 inch margins at each sidea, what are the dimensions of the actual printing area? Set that area equal to 50. You want to minimize xy subject to that constraint.
    can u demonstrate to me how to calculate this problem? )
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  5. #5
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    Re: Differential calculus: Maxima and minima problem (project)

    Start by drawing a sketch...
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