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Lily's Gourmet Cream Shop offers a variety of gourmet ice cream and shakes. Although Lily's competes with other ice cream shops and frozen yogurt stores, none of them offer gourmet ice creams with a...

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Lily's Gourmet Cream Shop offers a variety of gourmet ice cream and

shakes. Although Lily's competes with other ice cream shops and frozen yogurt stores, none of them offer gourmet ice creams with a wide variety of different flavors. The shop is also located in an upscale area and therefore can command higher prices. The owner is a culinary school graduate without much business experience and has engaged the services of one of her friends who has recently obtained an MBA to assist her with financial analysis of the business and evaluation of the profitability of introducing a new product. The shop is open during the spring and summer, with higher sales in the summer season. Based on past observation, Lily has defined three sales scenarios for the new product:Summer:               High = 3,000 units               Most likely = 2,500 units               Low = 2,100 units Spring:                High = 2,500 units               Most likely = 1,500 units               Low = 1,000 units The expected price is $3.00. However, the unit costs is uncertain, and driven by costs of the ingredients she has to buy for the product. This is estimated to be between $1.40 and $2.00, with a most likely value of $1.50 in the summer, but in the spring, the most likely cost is $2.00 because the ingredients are more difficult to obtain then. Fixed costs are estimated to be $2,600. Find the distribution of profit for each season and the annual profit distribution using 200 trials for each. Professor hint: you need separate cells for the standard uniform random draws for each of the three variables.Professor adds (not on the textbook): What is the sample average and the sample standard deviation from the sample you generated?

Answered 168 days After Dec 03, 2021

Solution

Prateek answered on May 21 2022
119 Votes
To determine the sample average and sample standard deviation, first we need to determine the profit in various scenarios in summer (high, most likely, low) and then for spring. The profit will be determined by subtracting fixed cost and variable cost in each scenario of summer from the product of sales and sale price for each scenario. Thus, the profit in Summer in case of High is $1900, in most likely is $1,150 and in low is $550.
Similarly, the profits for spring will be determined which are:
a. High: -100
. Most likely: -350
c. Low: -1,100
Now determine the expected profit in summer by taking the average of all the scenarios in summer, which turned out to be $1,200. Similarly, in spring, it is -$933.33. Same thing will be done for standard deviation in summer and spring. These are $552 and 623, respectively. Finally average of profit in both...
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