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. If M is 96 meters from the nearest point A on the wall where P lies, and A is 104 meters from C, find the distance from C to P such that the cost of installing the cable is minimized and find this cost. 104 P A 96 M The cost is minimized when the distance from C to P is meters. The minimum installation cost is $

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