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    bryant22's Avatar
    bryant22 Posts: 5, Reputation: 1
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    #1

    Apr 11, 2011, 02:10 PM
    cost function formula?
    IF I need 50,000 sq feet of fence and the fancy fence(x) along the road is $20 per linear foot and the fence on the other 3 sides is $5 per foot. Find a function for the cost of the fence in terms of x
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Apr 12, 2011, 11:03 AM

    I'm supposing that the area to be fenced is rectangular/square.

    Let x be the side along the road and y be the side next to the side x.

    The area is given by xy and 50000 = xy.

    The cost of the fence on the x side is 20x.
    The cost of the fence on the other sides is 5y + 5y + 5x

    The total cost (cost function in terms of x and y) is 20x + 5y + 5y + 5x

    Substitute y by x to get the cost function in terms of x only.
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