Consider a snowfall falling into a city at a rate 2 inches per hour. The duration of the snowstorm is expected to be 10 hours. Denote the accumulated snow on the ground by Sg. Suppose now that the rate of traffic accidents per hour, a, is proportional to the snow on the ground and is given by the relationship: a=10Sg. Suppose that you are working for the snow removal agency of the city. You are allowed a single “sweep” of the streets during the snowstorm. You are also allowed to clean the streets as soon as the snowstorm ends. When should you sweep the streets if you want to minimize the total number of traffic accidents?

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A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…