The "Happy Cow" store sells skim milk that is delivered daily. The demand has a uniform distribution between 200 and 350 liters. The store buys milk for $ 1 a liter and sells it for $ 2.10 a liter. At the end of the day, the remaining nilk is sold to a chemical company for $ 0.25 a liter. If shortages occur customers will purchase milk from the competition at an additional cost, in addition to the lost profit of $ 0.5 per liter. It is requested: 1) What would be the optimal amount of milk to order? 5) What would be the expected number of liters of milk not sold? =) What would be the expected number of shortage liters?
The "Happy Cow" store sells skim milk that is delivered daily. The demand has a uniform distribution between 200 and 350 liters. The store buys milk for $ 1 a liter and sells it for $ 2.10 a liter. At the end of the day, the remaining nilk is sold to a chemical company for $ 0.25 a liter. If shortages occur customers will purchase milk from the competition at an additional cost, in addition to the lost profit of $ 0.5 per liter. It is requested: 1) What would be the optimal amount of milk to order? 5) What would be the expected number of liters of milk not sold? =) What would be the expected number of shortage liters?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
![The "Happy Cow" store sells skim milk that is delivered daily. The demand has a uniform distribution between 200
and 350 liters. The store buys milk for $ 1 a liter and sells it for $ 2.10 a liter. At the end of the day, the remaining
milk is sold to a chemical company for $ 0.25 a liter. If shortages occur customers will purchase milk from the
competition at an additional cost, in addition to the lost profit of $ 0.5 per liter. It is requested:
a) What would be the optimal amount of milk to order?
b) What would be the expected number of liters of milk not sold?
c) What would be the expected number of shortage liters?
d) What is the expected profit?
e) Find the expected profit if a quantity equal to the expected demand were to be ordered?
Quantity
and Expected profit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F324b7b24-605b-426b-97a0-60127c1f14c2%2F0cc463ba-286a-407e-8d24-90059c1c74cc%2Fz11zybi_processed.png&w=3840&q=75)
Transcribed Image Text:The "Happy Cow" store sells skim milk that is delivered daily. The demand has a uniform distribution between 200
and 350 liters. The store buys milk for $ 1 a liter and sells it for $ 2.10 a liter. At the end of the day, the remaining
milk is sold to a chemical company for $ 0.25 a liter. If shortages occur customers will purchase milk from the
competition at an additional cost, in addition to the lost profit of $ 0.5 per liter. It is requested:
a) What would be the optimal amount of milk to order?
b) What would be the expected number of liters of milk not sold?
c) What would be the expected number of shortage liters?
d) What is the expected profit?
e) Find the expected profit if a quantity equal to the expected demand were to be ordered?
Quantity
and Expected profit
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