8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x cans of soda in one day, his profit (in dollars) is give P(x) = -0.001x2+3x-1800.

a) How many cans would be sold for his profit to be equal to zero (0)?

b) What is his maximum profit per day, and how many cans must he sell for maximum profit?

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