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The owner of a ski apparel store in Winter Park, Colorado, must make a decision in July regarding the number of ski jackets to order

The owner of a ski apparel store in Winter Park, Colorado, must make a decision in July regarding the number of ski jackets to order for the following ski season. Each ski jacket costs $54 and can be sold during the ski season for $145. Any unsold jackets at the end of the season are sold for $45. The demand for jackets is expected to follow the Poisson distribution with an average rate of 80. The store owner can order jackets in lot sizes of 10 units.
(1) How many jackets should the store owner order to maximize expected profit?
(2) When maximizing expected profit, what are the best-case and worst-case outcomes?
(3) When maximizing expected profit, how likely is it that the store owner will make at least $7,000?
(4) When maximizing expected profit, how likely is it that the store owner will make betwen $6,000 to $7,000?
Check figures: (1) Order quant. =90
(2) Best case about 8,190
(3) About 57%
(4) About 33%

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