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Vivaan, a musician, frequently plays at large parties and nightclubs. Vivaan has musical equipment worth $8,000, and he takes precautions to prevent theft. The marginal benefit of these precautions is given by MB = 60 - 3A, where A is the number of precautions Vivaan takes. The marginal cost of preventing theft (i.e., the time, energy, and effort expended) is given by MC = 2A. Suppose Vivaan purchases full insurance that pays him $8,000 if his gear is stolen. What is Vivaan's optimal level of precautions?
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