Question: Set up the following problem into a single variable max or min problem, but do not solve. Be certain to define your variables, identify your one-variable objective function, and identify the reasonable domain of your objective function. Again, do not solve the problem.

A gas pipeline is to be constructed from a storage tank, which is right on a road, to a house which is 600 feet down the road and 300 feet back from the road. Pipe laid along the road costs $8.00 per foot, while pipe laid off the road costs $10.00 per foot. What is the minimum cost for which this pipeline can be built?

Don’t forget: You don’t need to solve.