M4.1 Ingalls Markets sell its own brand of canned corn as well as several national brands. The store makes a profit of $0.32 per can for its own corn and a profit of $0.22 for each can of corn for the national brands. The store can use up to 10 square feet of shelf space for canned corn and each can of corn takes up 10 square inches of shelf space. Ingalls brands always sell less than half as many cans compared to the national brand. The store manager wants to put no more than 80 cans on national brands of the shelf and she wants at least 25 cans of Ingalls brands on the shelf. How many cans of Ingalls brand and national brands should they stock each week to maximize profit

Dan mcclure is trying to decide on how many copies of a book to purchase at the start of the upcoming selling season for his bookstore. the book retails at $28.00. the publisher sells the book to dan for $20.00. dan will dispose of all the unsold copies of the book at 75 percent off the retail price, at the end of the season. dan estimates that demand for this book during the season is normal with a mean of 100 and a standard deviation of 42. a. how many books should dan order to maximize his expected profit? b. given the order quantity in part a, what is dan's expected profit? c. the publisher's variable cost per book is $7.50. given the order quantity in part a, what is the publisher's expected profit?