Part $1$

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The Fast Fashion Group $($FFG$)$ is a fast fashion retailer company located in Spain and is one of the largest retailers in the country $($their overall sales has grown by about $50\%$ in five years$).$ FFG sells clothes and accessories. The customer is at the heart of its business model, which strives to link customer demand to manufacturing, and manufacturing to distribution. Kimberly Wood, the supply chain manager of the company, is concerned about fast moving products and high volatility. Since the number of SKUs has grown dramatically in the last year, she believes that the SKUs should be segmented and has asked you to run an ABC analysis on a sample of $60$ SKUs $($all of them are jeans$).$

You may download the data you need regarding the unit cost, unit sales price, weekly sales volume, and weekly sales standard deviation for each SKU. Each SKU is represented by its ID$,$ which is an alphanumeric code $($e$.$g$.$: J$81690).$ All currencies are in Euros.

Which SKU has the most volatile demand $($highest coefficient of variation$)?$ The coefficient of variation is defined as $.$ Just enter the SKU$\_$ID$.$

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Part $2$

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When Kimberly Wood saw the high volatility of this item, she asked you to analyze the volatility of the sample of $60$ SKUs in terms of Coefficient of Variation $($CV$).($Note: When calculating the CV of each item, please do not round it$.)$

What is the percentage of SKUs that have a CV greater than or equal to $0\mathrm{.}46?$

Just enter a value and do not include the $\%$ sign. For example, if you think the value is $35\mathrm{.}54\%,$ just enter $35\mathrm{.}5($round to nearest $1$ decimal places$)$

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Part $3$

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In addition to the volatility, Kimberly Wood also wants you to analyze the fast moving items. Kimberly believes that fast moving, highly volatile SKUs should be managed separately, with more time spent on improving forecasting capabilities. She has decided that the criteria for fast moving is to be selling $38$ or more units per week, and the criteria for highly volatile is to have a CV greater than or equal to $0\mathrm{.}46.($Note: When calculating the CV of each item, please do not round it$.)$

What percentage of the total profit is contributed by fast moving and highly volatile SKUs $($both criteria satisfied$)?$

Just enter a value and do not include the $\%$ sign. For example, if you think the value is $35\mathrm{.}54\%,$ just enter $35\mathrm{.}5($round to nearest $1$ decimal place$)$

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Part $4$

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Let$$s run now the ABC analysis based on profitability.

What percentage of the total profit is contributed by the top $12$ SKUs of the $60,$ as ranked by profit?

Just enter the value and do not include the $\%$ sign. For example, if you think the value is $35\mathrm{.}54\%,$ just enter $35\mathrm{.}5($round to nearest $1$ decimal place$)$

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Part $5$

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What percentage of the total profit is contributed by the bottom $31$ SKUs of the $60,$ ranked by profit?

Just enter the value and do not include the $\%$ sign. For example, if you think the value is $35\mathrm{.}54\%,$ just enter $35\mathrm{.}5($round to nearest $1$ decimal place$)$

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Part $6$

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Demand uncertainty, particularly in the fast fashion industry, is a significant concern. For this reason, Kimberly Wood has decided to take a closer look to the distribution of the demand of several items.

She has requested you to analyze the demand of one of the company's basic jeans, the "regular fit straight blue jeans" $($SKU J$87901$X$).$ The weekly demand for this item is found to be normally distributed, with a mean of $69$ units and a standard deviation of $25$ units. $($Note that this SKU is not in the data set.$)$

If you stocked $86$ units of the $$regular fit straight blue jeans$($SKU J$87901$X$)$ for week $1,$ what is the probability that the demand during week $1$ exceeds the stocking level?

Enter the probability as a number between $0$ and $1$ with $4$ decimal digits $($e$.$g$.$ for $12\mathrm{.}34\%,$ enter $0\mathrm{.}1234$ as your answer$).$

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