Question

I really need help on this Calc II problem!
(pic attached)
A high-tech company purchases a new computing system whose initial value is V. The system will depreciate at the rate f = f(t) and will incur maintenance costs at the rate g = g(t), where t is the time measured in months. The company wants to determine the optimal time to replace the system.

Answer 1

I think they want you to integrate
V/17 - V*t/578
from 0 to T
set this equal to V
solve for T