SOLUTION: CAN ANYONE HELP ME?? Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fenc

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Question 969085: CAN ANYONE HELP ME?? Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is $8 per linear foot; the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river.
(a) Write a function C(x) that describes the cost of the project.
(b) What is the domain of C?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Area = ft2
Let the length parallel to the river = ft
I can say:


ft
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The perimeter of the rectangular are is:



-------------------------------

can be any number
Also can be any number
-----------------------------------
The domain is:
0 < C(x) < infinity
-------------------------
Here's the plot of

After the curve takes a dip, it looks like a straight line almost
Hope this helps



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