In Exercises 51 through 54, an initial population P₀ is given along with a renewal rate R(t) and a survival function S(t). In each case, use the given information to find the population at the end of the indicated term T.

P₀ = 200,000; R(t) = 50e^0.12t; S(t) = e^−0.017t ; t in hours; term T = 20 hours