PLEASE ANSWER THE QUESTION answer Q $1$&$2$

Zamatia Ltd$.$ is an Italian upscale maker of eyewear. UV Inc., short for UmbraVisage, is one of their retailers in the United States. To match UV$$s stylishassortment, UV only operates small boutique stores located in trendy locations. Weconsider one particular store located in Miami Beach, Florida. Due to longreplenishment lead time, UV receives only one delivery of Zamatia glasses beforeeach season.Consider Zamatia$$s entry$-$level sunglasses for the coming season, the Bassano. UVpurchases each one of those pairs of sunglasses from Zamatia for $$75$ and retailsthem for $$115.$ Zamatia$$s production and shipping costs per pair are $$35.$ At the endof the season, UV generally needs to offer deep discounts to sell remaininginventory; UV estimates that it will only be able to fetch $$25$ per leftover Bassano atthe Miami Beach store. UV$$s Miami Beach store believes this season$$s demand forthe Bassano can be represented by a normal distribution with a mean of $250$ and astandard deviation of $125.$

Scenario A: Without Any Contracts$$ In this scenario, the supplier produces the products after it receives the order from the buyer$($MTO$).$ The supplier bears no risk.$$ The buyer bears all the risk $($too much or too little issue$).$ The buyer makes ordering decision.$$ Sunglass example$$ The retailer UV earns $115-75=$ $$40$ for each unit sold, and loses $75-25=$ $$50$ for eachunit unsold.$$ The supplier Zamatia earns $75-35=$ $$40$ for each unit sold to UV$.$

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QUESTION $1$

$$ Given the above information, apply newsvendor model to determine the optimal orderquantity and calculate UV$$s expected profit.$$

QUESTION $2$

$$ According to the order quantity determined above, calculate the profit of Zamatia.