An experiment is conducted with two bacterial colonies, each of which initially has a population of 100,000. In the first colony, a mild toxin is introduced that restricts growth so that only 50 new individuals are added per day and the fraction of individuals that survive at least t days is given by f(t) = e^−0.011t. The growth of the second colony is restricted indirectly, by limiting food supply and space for expansion, and after t days, it is found that this colony contains

thousand individuals. Which colony is larger after 50 days? After 100 days? After 300 days?

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P(t) 5,000 1+ 49e 0.009t