Video: https://use.vg/AMALzz

For the following word problem, show organized work/steps that at least resemble what was done in a corresponding video.

What distance in earth and rock will give a minimum cost for excavation of a pipe line to run between points A and B (it is advised that you draw a line that resemble the one provided in corresponding video).

580 feet apart horizontally and 120 feet apart vertically? Earth excavation is 7 per running foot and rock is 22 per foot. What is the cost?

Make sure that you identify clearly what specific answer goes for rock, what specific answer goes for earth, and what specific answer goes with cost. Do not forget units in final answers.