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July 31, 2014

July 31, 2014

Posted by **Angel** on Thursday, September 22, 2011 at 8:02am.

a. 1.00

b. 0.43

c. 0.00

d. 2.00

e. 1.44

- calculus -
**MathMate**, Thursday, September 22, 2011 at 9:04amThe question did not define x, which is probably shown in a diagram.

Let us define x as the distance downstream of the power station across the river, to which point the under-river power line connects.

Then the cost function

C(x)=15*(5-x)+23*sqrt(0.5^2+x^2)

You need to minimize C(x) with respect to x.

Can you take it from here?

- calculus -
**Angel**, Thursday, September 22, 2011 at 9:14amI will try but there is no diagram.

- calculus -
**MathMate**, Thursday, September 22, 2011 at 8:04pmThe solution for x does fit one of the answers. So the interpretation should be correct.

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