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As the summer season approaches, BeyondBest a retail store is planning to stock a new model of ice cream maker at its store. The retail price for this ice cream maker will be set at $28. BeyondBest purchases this product directly from the manufacturer who sells each ice cream maker to BeyondBest for $20. Each ice cream maker costs the manufacturer $7.5 to make. The demand for this ice cream maker at BeyondBest for the upcoming summer season is estimated to be normally distributed with a mean of 100 and a standard deviation of 42. At the end of the summer season, BeyondBest will sell any remaining inventory of the ice cream maker at the clearance price of 75% Off from the original retail price. How many units of the ice cream maker should BeyondBest order to maximize its expected profit? What is the manufacturers profit (in $) if BeyondBest orders the quantity in above ?