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Grape, a clothing retailer, has started selling through its online channel along with its retail stores. Management has to decide which products to carry at

Grape, a clothing retailer, has started selling through its online channel along with its retail stores. Management has to decide which products to carry at the retail stores and which products to carry at a central warehouse to be sold only via the online channel. Grape currently has 900 retail stores in the United States. Weekly demand for size large khaki pants at each store is normally distributed, with a mean of 800 and a standard deviation of 90. Each pair of pants costs $30. Weekly demand for purple cashmere sweaters at each store is normally distributed, with a mean of 50 and a standard deviation of 50. Each sweater costs $100. Grape has an annual holding cost of 25 percent. Grape manages all inventories using a continuous review policy, and the supply lead time for both products is five weeks. The targeted CSL is 95 percent. How much reduction in holding cost per unit sold can Grape expect on moving each of the two products from the stores to the online channel? Which of the two products should Grape carry at the stores, and which should it carry at the central warehouse for the online channel? Why? Assume demand across stores and from one week to the next to be independent.

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