$6.(20$p$)$ The City is considering two models of buses for its school system: the Eagle Cruiser, which runs on hybrid gas and hydrogen power, and the Diesel Runner, which operates solely on diesel fuel. The Eagle Cruiser costs $$120,000,$ has an operating cost of $$0\mathrm{.}26$ per mile, and achieves a fuel efficiency of $10$ miles per gallon. The Diesel Runner is priced very low at $$100,000,$ with an operating cost of $50\mathrm{.}30$ per mile, and a fuel efficiency of $8$ miles per gallon.

The distance traveled annually is determined to be $24,000$ miles, with the expected life of either bus to be $10$ years. The average lesel price is $$4\mathrm{.}00$ per gallon.

A$.$ Based on the life cycle cost which bus is cheaper?