Concept explainers
22. Installing Cable TV MetroMedia Cable is asked to provide service to a customer whose house is located 2 miles from the road along which the cable is buried. The nearest connection box for the cable is located 5 miles down the road. See the figure.
(a) If the installation cost is S500 per mile along the road and per mile off the road, build a model that expresses the total cost C of installation as a function of the distance x (in miles) from the connection box to the point where the cable installation turns off the road. Find the domain of .
(b) Compute the cost if mile.
(c) Compute the cost if miles.
(d) Graph the function . Use TRACE to see how the cost C varies as x changes from 0 to 5.
(e) What value of x results in the least cost?
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