Demand for devil’s food whipped-cream layer cake at a local pastry shop can be approximated using a Poisson distribution with a mean of six per day. The manager estimates it costs $9 to prepare each cake. Fresh cakes sell for $12. Day-old cakes sell for $9 each. 1. Assume one-half of the day-old cakes are sold, and the rest thrown out. What service level is achieved in this situation? 2. What stocking level is appropriate to achieve this service level?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Demand for devil’s food whipped-cream layer cake at a local pastry shop can be approximated using a Poisson distribution with a mean of six per day. The manager estimates it costs $9 to prepare each cake. Fresh cakes sell for $12. Day-old cakes sell for $9 each. 1. Assume one-half of the day-old cakes are sold, and the rest thrown out. What service level is achieved in this situation? 2. What stocking level is appropriate to achieve this service level?
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