As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula
v = 302,000 + 1,010t^2 (t ≥ 5)
where t is the number of years from now. You anticipate a continuous inflation rate of 5% per year, so that the discounted (present) value of an item that will be worth $v in t years' time is
p = ve−0.05t.
When would you advise the dealership to sell the vehicles to maximize their discounted value? (Round your answer to one decimal place.)
years from now

Question

As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula
v = 302,000 + 1,010t^2     (t ≥ 5)
where t is the number of years from now. You anticipate a continuous inflation rate of 5% per year, so that the discounted (present) value of an item that will be worth $v in t years' time is
p = ve−0.05t.
When would you advise the dealership to sell the vehicles to maximize their discounted value? (Round your answer to one decimal place.)
years from now