Sam’s Cat Hotel operates 52 weeks per year, 7 days per week,and uses a continuous review inventory system. It purchaseskitty litter for $10.75 per bag. The following information isavailable about these bags.Demand = 95 bags>weekOrder cost = $58>orderAnnual holding cost = 25 percent of costDesired cycle@service level = 90 percentLead time = 4 weeks 128 working days2Standard deviation of weekly demand = 16 bagsCurrent on-hand inventory is 315 bags, with no open ordersor backorders. a. Suppose that the weekly demand forecast of 95 bags isincorrect and actual demand averages only 65 bags perweek. How much higher will total costs be, owing to thedistorted EOQ caused by this forecast error?b. Suppose that actual demand is 65 bags but that orderingcosts are cut to only $10 by using the Internet to automateorder placing. However, the buyer does not tell anyone,and the EOQ is not adjusted to reflect this reduction in S.How much higher will total costs be, compared to whatthey could be if the EOQ were adjusted?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Sam’s Cat Hotel operates 52 weeks per year, 7 days per week,
and uses a continuous review inventory system. It purchases
kitty litter for $10.75 per bag. The following information is
available about these bags.
Demand = 95 bags>week
Order cost = $58>order
Annual holding cost = 25 percent of cost
Desired cycle@service level = 90 percent
Lead time = 4 weeks 128 working days2
Standard deviation of weekly demand = 16 bags
Current on-hand inventory is 315 bags, with no open orders
or backorders.

a. Suppose that the weekly demand forecast of 95 bags is
incorrect and actual demand averages only 65 bags per
week. How much higher will total costs be, owing to the
distorted EOQ caused by this forecast error?
b. Suppose that actual demand is 65 bags but that ordering
costs are cut to only $10 by using the Internet to automate
order placing. However, the buyer does not tell anyone,
and the EOQ is not adjusted to reflect this reduction in S.
How much higher will total costs be, compared to what
they could be if the EOQ were adjusted?

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