A cable runs along the wall from C to P at a cost of $14 per meter, and straight from P to M at a cost of $50 per meter. Let x be the distance from C to P. If M is 96 meters from the nearest point A on the wall where P lies, and A is 211 meters from C, find x such that the cost of installing the cable is minimized and find this cost. 211 A 96 M

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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A cable runs along the wall from C to P at a cost of $14 per meter, and straight
from P to M at a cost of $50 per meter. Let x be the distance from C to P. If M is
96 meters from the nearest point A on the wall where P lies, and A is 211 meters
from C, find x such that the cost of installing the cable is minimized and find this
The cost is minimized when x is
meters.
cost.
211
96
M
A,
Transcribed Image Text:A cable runs along the wall from C to P at a cost of $14 per meter, and straight from P to M at a cost of $50 per meter. Let x be the distance from C to P. If M is 96 meters from the nearest point A on the wall where P lies, and A is 211 meters from C, find x such that the cost of installing the cable is minimized and find this The cost is minimized when x is meters. cost. 211 96 M A,
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