A cable runs along the wall from c to p at a cost of 7 per m

A cable runs along the wall from c to p at a cost of $7 per meter, and straight from p to m at a cost of $25 per meter. Let x be the distance from c to p. If m is 48 meters from the nearest point a on the wall where p lies, and a is 106 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.
The cost is