SOLVED: (15 pts. A process tor refining sugar yields up to 1 ton of pure sugar per day; but the actual amount produced, Y , is a random variable because of machine breakdowns and other slowdowns Suppose that the density function of Y is given by f(y) 2y for 0 < y < 1 (and f(y) = 0 otherwise) The company is paid at the rate of 300 per ton for the refined sugar; but it also has a fixed overhead cost of100 per day: Therefore we can define the daily profit; Z, to be Z = 3Y 1 (in hundreds of dollar

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