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Math Help - Cost function

  1. #1
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    Cost function

    This is an explore problem in the back of the chapter and I would like to know how to set this up. We were not assigned this problem but I think knowing how to do this one will help me later on. I would appreciate it is someone could show me how to go about setting this up and solving it.

    Thankx, Keith
    The problem is as follows:
    Cost of Trans-Atlantic Travel:
    This word problem gives us the following information: A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an air speed of 500 miles per hour. The cost C (in dollars) per passenger is given by
    C(x) = 100 + x/10 + 36,000/x Where x is the ground speed (airspeed + - wind).
    a. What is the cost per passenger for quiescent (no wind) conditions?
    b. What is the cost per passenger with a head wind of 50 miles per hour?
    c. What is the cost per passenger with a tail wind of 100 miles per hour?
    d. What is the cost per passenger with a head wind of 100 miles per hour?
    e. Graph the function C = C(x)
    f. As x varies from 400 to 600 miles per hour, how does the cost vary?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by keith View Post
    This is an explore problem in the back of the chapter and I would like to know how to set this up. We were not assigned this problem but I think knowing how to do this one will help me later on. I would appreciate it is someone could show me how to go about setting this up and solving it.

    Thankx, Keith
    The problem is as follows:
    Cost of Trans-Atlantic Travel:
    This word problem gives us the following information: A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an air speed of 500 miles per hour. The cost C (in dollars) per passenger is given by
    C(x) = 100 + x/10 + 36,000/x Where x is the ground speed (airspeed + - wind).
    a. What is the cost per passenger for quiescent (no wind) conditions?
    here x=500 mph

    b. What is the cost per passenger with a head wind of 50 miles per hour?
    here x=450 mph

    c. What is the cost per passenger with a tail wind of 100 miles per hour?
    here x=600 mph

    d. What is the cost per passenger with a head wind of 100 miles per hour?
    here x=400 mph

    e. Graph the function C = C(x)
    f. As x varies from 400 to 600 miles per hour, how does the cost vary?

    RonL
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