Please note this is the third time I've posted this question because the same person has responded incorrectly twice now. Customer service said the expert should be responding to the question below and not anything else. The person answering it showed a graph for gasoline and responded in terms of economics and not operations management. Please respond to each portion of this question showing work as I am trying to understand and learn. Again, this question has nothing to do with the supply and demand curves of gasoline. This question has 15 parts and I need help on these 3 only. Customer service said I should ask that the expert respond next to each portion of this question, which are newsvendor quantity, supply chain perspective, and probability. Thank you so much to the expert who is able to respond to this question below.

You are a retailer. You buy a product at $3.00 from a supplier and sell it for $5.00. It costs the supplier $2.00. Unsold items can be marked down and sold for $1.50. Demand is normally distributed between with mean 200 and standard deviation 40. Answer the following and show all your work.

- Newsvendor quantity: How many units should you stock? Why? For your order quantity, will the average sales be greater than, smaller than, or equal to 200 units? Explain.

.- Supply chain perspective: How would the number of units stocked change if you look at the quantity decision from the perspective of the supply chain consisting of the supplier + retailer? Would the chains expected profit increase or decrease relative to the quantity choice in part 1 above? Explain the logic behind any change in expected profit. What lesson does this supply chain perspective on Newsvendor replenishment teach us? Make sure to answer all parts of this question.

- Profitability: Consider the independent-retailer situation above. A senior executive at your retail company asks the following: Suppose we were to stock 220 units. What is the probability that our realized profit will be at least $405? Explain and show your work. Note: You are concerned here with realized profit not expected profit; realized profit is the profit corresponding to the actual demand value that is realized (occurs) for this item over the selling season, while expected profit averages over all possible demand values.