Can I please get some help here? A retail store in Hanes Mall in Winston$-$Salem purchases computer software from a distributor for resale. For an upcoming promotion, the retailer needs to determine the best order size for a one$-$time purchase. One of the products is a word processing program that will have a special sale price of $\backslash (\backslash$$ $350\backslash ).$ The retailer estimates the following demand schedule: A$.$ The program can be purchased from a distributor for $\backslash (\backslash$$ $250\backslash )$ each, but there is a restocking charge of $\backslash (20\backslash \%\backslash )$ of the purchase price for the return to the distributor of any unsold programs, that is$,$ the distributor would only refund $\backslash (\backslash$$ $200\backslash )$ to the retail store for any returned program. As such, the retailer makes a loss of $\backslash (\backslash$$ $50\backslash )$ on every unsold program. $(80$ points$)$ i$)$ What should be the optimal order size for the retailer? ii$)$ What will be the expected optimal profit for the retailer? B$.$ Consider the following change made by the distributor. In order to reduce its risk, the distributor would refund $\backslash (\backslash$$ $200\backslash )$ back to the store for only $\backslash (80\backslash \%\backslash )$ of the returned items. For the remaining $\backslash (20\backslash \%\backslash )$ of the returned items, the restocking charge is $\backslash (40\backslash \%\backslash ),$ that is$,$ the distributor would only return $\backslash (\backslash$$ $150\backslash )$ to the store. Re solve the question to find the new optimal order quantity for the retailer and the new expected optimal profit. $(20$ points$).$