Answer:
Diesel engine taxis should be chosen.
Explanation:
Useful life = 5 years
Annual distance covered = 80000 km
For a diesel car
Annual fuel cost = (80000/16)*.88 = $4400
Present value of total cost = vehicle cost + present value of the fuel cost + present value of annual repair cost + present value of annual premium – present value of resale value
Present value of total cost = 24000 + 4400*(1-1/1.06^5)/.06 + 900*(1-1/1.06^5)/.06 + 1000*(1-1/1.06^5)/.06 - 4000/1.06^5
Present value of total cost = $47548.86
Let, uniform annual cost = EUAC1
Then, EUAC1 = 47548.86/((1-1/1.06^5)/.06)
EUAC1 = $11287.93
For a gasoline car
Useful life = 4 years
Annual fuel cost = (80000/11)*.92 = $6690.91
Present value of total cost = vehicle cost + present value of the fuel cost + present value of annual repair cost + present value of annual premium – present value of resale value
Present value of total cost = 19000 + 6690.91*(1-1/1.06^4)/.06 + 700*(1-1/1.06^4)/.06 + 1000*(1-1/1.06^4)/.06 - 6000/1.06^4
Present value of total cost = $43322.83
Let, uniform annual cost = EUAC2
Then, EUAC2 = 43322.83/((1-1/1.06^4)/.06)
EUAC2 = $12502.6
Conclusion: The diesel engine taxis should be chosen because it offers relatively lower uniform annual cost compared to the gasoline engine taxis
