Star$2$ 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, Star$2$ 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.

Marked Down Pricing Model for Star$2$ Accessories's new sweater

Data

Retail Price

$$65$

Inventory

$1500$

Selling Season $($days$)$

$60$

Days at Full Retail

$45$

Intermediate Markdown

$25$ percent

Clearance Markdown

$65$ percent

Demand Functions

a

$79\mathrm{.}5$

b

$1\mathrm{.}1$

A$.$ What is the average daily sales during the full retail sales period?

B$.$ Calculate the total number of units sold during the full retail sales period.

C$.$ Calculate the total revenue for the new line of sweaters.