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There is a town with exactly 1,000 residents. 75% of the residents make healthy choices, and 25% of the residents consistently make unhealthy choices, but the health insurance company in town cannot tell who is healthy and who is unhealthy. A healthy person has an average of $600 in medical expenses each year and is willing to pay $800 for insurance. An unhealthy person has an average of $1,600 in medical expenses each year and is willing to pay $2,000 for insurance. The health insurance provider can offer insurance at only one price.a. In equilibrium, what is the minimum price of insurance?b. In equilibrium, who will buy insurance?