A telephone company is asked to provide cable service to a customer whose house is located 3 km away from the road along which the cable lines run. The nearest cable box is located 7 km down the road. As shown in the figure below let 7 - x denote the distance from the box to the connection so that x is the distance from this point to the point on the road closest to the house. If the cost to connect the cable line is $400 per kilometer along the road and $700 per kilometer away from the road, where along the road from the box should the company connect the cable line so as to minimize construction cost?

 

Transcribed Image Text:

7-x 7-x

Answer rating: 100% (QA)

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