A cable runs along the wall from C to P at a cost of ​$4 per​ meter, and straight from P to M at a cost of ​$5 per meter. If M is 12 meters from the nearest point A on the wall where P​ lies, and A is 75 meters from​ C, find the distance from C to P such that the cost of installing the cable is minimized and find this cost. The cost is minimized when the distance from C to P is _______ meters.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.1: Multiplication Properties Of Exponents
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A cable runs along the wall from C to P at a cost of ​$4 per​ meter, and straight from P to M at a cost of
​$5 per meter. If M is 12 meters from the nearest point A on the wall where P​ lies, and A is 75
meters from​ C, find the distance from C to P such that the cost of installing the cable is minimized and find this cost.
The cost is minimized when the distance from C to P is
_______ meters.
Part 2
The minimum installation cost is
​$__________                                                       
 
75
P
A
12
M
Transcribed Image Text:75 P A 12 M
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