Answer:
Equivalent annual cost = $16,502.89
Explanation:
Equivalent annual cost = Present Value of cost / Annuity factor
Present value of cost:
PV of additional cost =50,000 ×1.05^(-10)=30,695.66
PV of maintenance cost
First four years= 5,000× (1-1.05^(-4))/0.05=17,729.75
From year 5 to infinity = (8,000/0.05)× 1.05^(-4)=131,632.39
PV of maintenance cost = 17,729.75 + 131,632.396= 149,362.14
PV of costs = 150,000 + 30,695.66 + 149,362.14= 330,057.8112
Annuity factor = 1/r = 1/0.05= 20
Equivalent annual cost = 330,057.8112
/20=$16,502.89
Equivalent annual cost = $16,502.89
