Pipe is going to be laid from point A to point B and going through point C as shown in the picture. Distances are in miles and as indicated in the picture. The position of point C is up to the pipe layers but point C must lie on the straight line shown in the picture. Laying the pipe from point A to point C involves laying the pipe under water and costs 3 million dollars per mile. Laying the pipe from point C to point B involves laying the pipe over land and costs 1 million dollars per mile. Find the value of x in the picture to minimize the total cost of laying the pipe. Assume the angle that looks like a right angle is a right angle. CB = 4- x. Clx) = 2k Jx²+4 +K (4-x) A 2 B

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