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A client is looking to buy a European put option on a stock to as they say hedge a stock position

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A client is looking to buy a European put option on a stock to as they say hedge a stock position. The strike price is $50. Consider also that this call option costs $4.50. Under what circumstances will the holder of the option make a profit? Under what circumstances will the option be exercised? Assume now that the client instead sold the option for $4.50. Under what circumstances would they make a profit from this transaction? What is the maximum loss they can make in both scenarios. In your answer, use graphs as well as discussion, (max 500 words) (max 0p)