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Homework Help: Find the cost function C(x)

  1. Dec 1, 2004 #1
    I was wondering if anyone can help me on this problem...

    A truck burns fuel at the rate of G(x) gallons per mile. Where

    [tex] G(x) = \frac {1} {32} \left(\frac {64}{x} + \frac {x}{50} \right) [/tex]

    a. Find the cost function C(x) if the truck takes a 400 mile trip. Assume that the cost of fuel is $1.60 per gallon.

    b. What is the speed that will produce minimum cost on this trip?

    So....if anyone can help me with this...Please..please do so, I would be very very appreciative. Thanks
     
  2. jcsd
  3. Dec 1, 2004 #2

    HallsofIvy

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    Science Advisor

    What does x represent?????


    At first I thought it was the distance which makes (a) easy but then (b) makes no sense. Is x the speed? No, that way (a) makes no sense!
     
  4. Dec 1, 2004 #3
    oh sorry....x represents miles per hour
     
  5. Dec 4, 2004 #4
    How can i determine the cost function? Anyone?
     
  6. Dec 5, 2004 #5
    nobody can help?
     
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