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Using the forecast for the New England Patriots, what is the optimal quantity to

Using the forecast for the New England Patriots, what is the optimal quantity to order for each player? For blank jerseys? What profit do you expect for Reebok? How much and what type of inventory is expected to be left over at the end of the season? What service level? Book info provided: Retailer wholesale price = $24 Retail sales price excess of $50 Blank jersey to Indianapolis distribution center (delivered) = $9.50 Dressed jersey to Indianapolis distribution center (delivered) = $10.90 Decorating cost for blank jerseys = $2.40 Leftover dressed jerseys discounted for = $7.00 Reebok’s cost holding cost = 11% Table below provides forecast for the New England Patriots. The six named players were the most popular in terms of jersey sales, futhermore these six players each had a demand forecast that was sufficent to cover the CM’s (contract manufactuers) minimum order quantity. Whereas Reebok did expect demand for other players, this demand was even harder to forecast and was not likely to excend the CM’s minimum order quantity. hence, Reebok developed an aggregate forecast of more than 23,000 jerseys for all other players. Players named jerseys = dressed jerseys Other players = blank jerseys. I worked up the overage and underage cost: Cost of blank overage = $9.50 x 11% = $1.045 Cost of blank underage = $24.00-9.50-2.40= $12.10 Cost of dressed overage = $10.90 -$7.00 = $3.90 Cost of dressed underage = $24.00-10.90= $13.10 Desc. Mean Std Dev. NEW ENG PATRIOT Total 87680 19211 BRADY,TOM #12 30763 13843 LAW,TY #24 10569 4756 BROWN,TROY #80 8159 3671 VINATIERI,ADAM #54 7270 4362 BRUSCHI,TEDY #04 5526 3316 SMITH,ANTOWAIN #32 2118 1271 Other Players 23275 10474