Problem $20-8($Algo$)$

Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple pies is a random variable with $($discrete$)$ distribution, based on past experience, given by

Demand $51012182226$

Probability $10\%20\%22\%18\%12\%18\%$

Each apple pie costs the bakery $$10\mathrm{.}50$ to make and is sold for $$27.$ Unsold apple pies at the end of the day are purchased by a nearby soup kitchen for $90$ cents each. Assume no goodwill cost.