7. SBS Juices sell orange juice. Every morning (7am) the manager has to decide on the amount (liter) of juice to make for customers arriving between 8am and 9am. Demand for the juice follows a normal distribution with a mean of 20 liters per day and a standard deviation of 5 liters per day. Price per liter is $48.067, material cost per liter is $40, and salvage value per liter is $10. What is the optimal level of juice to make each morning to maximize expected profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
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7. SBS Juices sell orange juice. Every morning (7am) the manager has to decide on the amount (liter) of
juice to make for customers arriving between 8am and 9am. Demand for the juice follows a normal
distribution with a mean of 20 liters per day and a standard deviation of 5 liters per day. Price per liter is
$48.067, material cost per liter is $40, and salvage value per liter is $10. What is the optimal level of juice
to make each morning to maximize expected profit?
Transcribed Image Text:7. SBS Juices sell orange juice. Every morning (7am) the manager has to decide on the amount (liter) of juice to make for customers arriving between 8am and 9am. Demand for the juice follows a normal distribution with a mean of 20 liters per day and a standard deviation of 5 liters per day. Price per liter is $48.067, material cost per liter is $40, and salvage value per liter is $10. What is the optimal level of juice to make each morning to maximize expected profit?
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