Consider the ease of a bookstore in a small town, where the owner needs to deeide how man}.r eopies of a new bestsdler to order. Bestseller's prioe equation is given by P = 24- Q, where Q is hundreds of copies sold per month. The book prioe charged by the publisher is to the bookstore is P = If? per eopy. Help the manager making the Following deeisious: 721. How many copies should the manager order, and what priee should she charge? {Ihere is plenty of unused shelf space to sea-d1 the best seller). (Ema-3) 12. Now SUPPOSE shelf spare is severely limited and stocking the best seller will take shelf space away from odlerboolts. The manager estimates that there is a 54prot on the sale ofa book stoeked. {The best sdler will take up the same shelf space as the wilesl book.) Now what are the optimal priee and order quandgr? (2mm; 1.3. fter receiving the order in Question 2, the manager is disappointed to nd that sales of the best seller are considerably lower than predicted. Actual demand is P = 13 - 20. The manager is now mnsidering returning some or all of the copies to the publisher, who is obligated to refund $6 For each cop]: returned. How mart}r oopies should be returned {if any}, and how mart}r should be sold and at what prioe? (2M)