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Posted by on Sunday, January 23, 2011 at 10:06pm.

A rectangular box is to have a square base and a volume of 50 ft3. The material for the base costs 44¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 26¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.

  • calculus - , Sunday, January 23, 2011 at 10:14pm

    let each side of base be x
    let the height be y
    x^2y = 50
    y = 50/x^2

    cost = 44x^2 + 4(10)(xy) + 26x^2 , where cost is in cents
    =70x^2 = 40x(50/x^2)
    = 70x^2 + 2000/x

  • calculus - , Sunday, January 23, 2011 at 11:23pm

    which one is the answer?

  • calculus - , Monday, January 24, 2011 at 5:32am

    The question asked for the cost.

  • calculus - , Wednesday, January 23, 2013 at 7:13pm

    Damon the answer is wrong.

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