A cable runs along the wall from C to P at a cost of ​$3 per​ meter, and straight from P to M at a cost of ​$5 per meter. Let x be the...?

A cable runs along the wall from C to P at a cost of ​$3 per​ meter, and straight from P to M at a cost of ​$5 per meter. Let x be the distance from C to P. If M is 8 meters from the nearest point A on the wall where P​ lies, and A is 18 meters from​ C, find x such that the cost of installing the cable is minimized... show more A cable runs along the wall from C to P at a cost of ​$3 per​ meter, and straight from P to M at a cost of ​$5 per meter. Let x be the distance from C to P. If M is 8 meters from the nearest point A on the wall where P​ lies, and A is 18 meters from​ C, find x such that the cost of installing the cable is minimized and find this cost.

The cost is minimized when x is
_____ meters.
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