a$)$ Over the past $5$ weeks, demand for wine at Winston$$s Winery has been $2400,1300,1700,1900,$ and $800$ bottles. Winston has placed weekly orders for glass bottles of $2600,1000,2000,2500,$ and $700$ units.$(10$ Points$)$

i$.$ What is the variance of demand for Winston$$s Winery?

ii$.$ What is the variance of orders from Winston$$s Winery for glass bottles?

iii. What is the bullwhip measure for glass bottles for Winston$$s Winery?

iv$.$ Is Winston$$s Winery providing an amplifying or smoothing effect?

b$)$Century Outlet has total end$-$of$-$year assets of $$10$ million. The first$-$of$-$the$-$year inventory was $$600,000,$ with a year$-$end inventory of $$800,000.$The annual revenue was $$25$ million, and the annual cost of goods sold was $$13$ million. The owner wants to evaluate his supply chain performance. $$Pease calculate the following SC performance measures: $(10$ Points$)$

$$

$$ Gross Margin Percentage $=$

$$ Average Inventory Investment $=$

$$ Percentage of Assets invested in inventory $=$

$$ Inventory turnover $=$

$$ Weeks of supply $=$

Reference Notes:

Gross Margin in $ $=$ Revenue $$ Cost of Goods Sold

Average Inventory Investment in $ $=($Beginning Inventory $+$ Ending Inventory$)/2$

Percentage of Assets invested in inventory $=($Average inventory investment$/$Total assets$)$ x $100$

Inventory turnover in units $=$ Cost of goods sold$/$Average Inventory investment

Weeks of supply in Inventory in weeks $=52/($Inventory turnover$)$