Fiberia Accessories, a clothing retailer, is planning to introduce a new line of sweaters as part of the winter collection for $$65$ with an inventory of $1500.$ The main selling season is $60$ days between November and December. The store then sells the remaining units in a clearance sale at $65$ percent discount. Out of the $60$ main retail days, Fiberia sells the sweaters at full retail price for only $45$ days, while giving a discount of $25$ percent for the remaining $15$ days. The demand functions a$,$ and b are given as $79\mathrm{.}5$ and $1\mathrm{.}1$ respectively. $($Retail Price $$65,$ Inventory $1500,$ Selling Season $($days$)60,$ Days at Full Retail $45,$ Intermediate Markdown $25$ percent, Clearance Markdown $65$ percent, Demand Function: A $79\mathrm{.}5,$ B $1\mathrm{.}1).$