superspreaders. Superspreaders do not get sick, but will always be infected. Out of the remaining infected people, 50% do not get sick, and do not isolate, but will spread the disease for a week and then will no longer be infected. 35% will self-isolate and get better. The remaining 15% get sick and are admitted to hospital. Within a week, a superspreader will infect 0.1% of the population. A spreader is only infected for a week but will infect 0.01% of the population. Everyone in self-isolation will recover within a week. 50% of people in hospital will die, while the other 50% make a

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In a certain city, with a population of 1,000,000 people, 17 people have been infected with a disease. Five of these people are superspreaders. Superspreaders do not get sick, but will always be infected.

Out of the remaining infected people, 50% do not get sick, and do not isolate, but will spread the disease for a week and then will no longer be infected. 35% will self-isolate and get better. The remaining 15% get sick and are admitted to hospital.

Within a week, a superspreader will infect 0.1% of the population. A spreader is only infected for a week but will infect 0.01% of the population. Everyone in self-isolation will recover within a week. 50% of people in hospital will die, while the other 50% make a full recovery.

Question: A vaccination takes at least 20 weeks to produce. Given that one is produced, and 2.5% of the population can be vaccinated in 1 week, when will be the best time to begin vaccinating the population?

Note 1 - You cannot vaccinate the population while in lockdown.
Note 2 - The disease is continually evolving and as a consequence can infect the same person multiple times.

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