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 $3\mathrm{.}8$ ?per day. The manager estimates it costs $ $14$ ?to prepare each cake. Fresh cakes sell for $ $17.$ ?Day $-$ old cakes sell for $ $14$ ?each. Use Table C $.$

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a $-1.$ ?Assume one $-$ half of the day $-$ old cakes are sold, and the rest thrown out. What service level is achieved in this situation? $($ Round your answer to $2$ ?decimal places. $)$

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a $-2.$ ?What stocking level is appropriate to achieve this service level?

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