$2)$You have produced $2$ design alternatives for a city bus. Which $($if either$)$ is the better deal $($assuming you are paying for it$)$ when considering a $10$ year operational window $($assuming a $10\%$ discount rate$)?$Show your work, and make sure to use the discount rate.

Option A:

Initial Cost $-$ $$100,000$Annual operating costs $-$ $$5000/$year$$80,000$ overhaul after $5$ years

Option B:

Initial Cost $-$ $$150,000$Annual operating costs $-$ $$5000/$yearNo overhauls