Please show step-by-step solutions and explanations. Thanks!

A young, recently employed assistant professor is considering replacing their old- and-busted white pickup truck with a new truck (possibly with flames painted on the side). They are considering two mostly equivalent options, a and b, to be used over a 10-year period and an assumed discount rate of 8%. Important details: Truck Purchase Price Average fuel economy a $33,000 20 mpg b $37,000 25 mpg Assume that the truck will be driven 10,000 miles every year, and that fuel is approximately $2.50/gallon. Let's perform a life-cycle cost analysis to help this completely hypothetical professor out: a) What are the annual costs of fuel for each truck? b) What are the total life-cycle costs for the two trucks over the 10 year period? c) Based on the life-cycle costs, which truck should be purchased? How much is saved? d) Assuming the price of fuel grows at 3% each year, repeat parts a) through c)