A Buyer for a Large Sporting Goods Store Chain Must

question 4

Essay

A buyer for a large sporting goods store chain must place orders for professional footballs with the football manufacturer six months prior to the time the footballs will be sold in the stores. The buyer must decide in November how many footballs to order for sale during the upcoming late summer and fall months. Assume that each football costs the chain $45. Furthermore, assume that each pair can be sold for a retail price of $90. If the footballs are still on the shelves after next Christmas, they can be discounted and sold for $35 each. The probability distribution of consumer demand for these footballs (in hundreds) during the upcoming season has been assessed by the market research specialists and is presented below. Finally, assume that the sporting goods store chain must purchase the footballs in lots of 100 units.
-What is the optimal strategy for order quantity, and what is the expected profit in that case?

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Definitions:

Amphetamines

A class of stimulant drugs that increase activity within the brain and nervous system, often used to treat ADHD and narcolepsy but can be abused as performance-enhancing or recreational drugs.

Personal Goal

An individual’s aim or desired outcome that they work towards through action or behavior, often reflecting personal values and aspirations.

Endorphins

Chemicals naturally produced by the body that alleviate pain and enhance sensations of pleasure and well-being.

Opiates

A group of drugs derived from opium used for their analgesic, narcotic, and sedative properties.