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.
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
Problem 1BGP
Related questions
Question
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
$__________
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