Optimization: A pipeline is to be constructed to connect a point P�on the shore of one side of a straight river...

[Marysa]

A pipeline is to be constructed to connect a point P�on the shore of one side of a straight river to a point Q�which is located on the shore on the other side of the river and 137137metres down the river. The cost per meter of constructing the pipeline over water is 22times the cost of constructing the pipeline over land.

The plan is to run the pipeline from point P�along the shore x�metres and then cross the river at an angle so as to connect directly to point Q�. The river is 7979metres wide. For what choice of distance x�is the cost minimum.

Write your answer in exact form.

 

[stapel]

A pipeline is to be constructed to connect a point P�on the shore of one side of a straight river to a point Q�which is located on the shore on the other side of the river and 137137metres down the river. The cost per meter of constructing the pipeline over water is 22times the cost of constructing the pipeline over land.

The plan is to run the pipeline from point P�along the shore x�metres and then cross the river at an angle so as to connect directly to point Q�. The river is 7979metres wide. For what choice of distance x�is the cost minimum.

Write your answer in exact form.

I strongly suspect that, when you did the copy-n-paste from your homework or other online assessment, you didn't proof the text; hence, the odd diamonds with query marks within. Also, I suspect that at least some of the numbers are in error (possibly doubled up).

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