g Question 3: LinearProgrammingPro3WSAlt1 The Hopscotch Bakery in Chicago bakes two types of muffins: energy muffins and happy muffins. Ingredients for both muffins are flour, sugar, nuts, and chocolate. Currently, the company has 210 kg of flour, 110 kg of sugar, 22 kg of nuts and 31 kg of chocolate in stock. The mixture of both muffins needs at least 30% flour. The mixture of energy muffin contains at least 20% nuts. The mixture of happy muffins contains at least 10% nuts and 25% chocolate. Assume that one kg of each ingredient contributes one kg to the final product. Energy muffins can be sold for $40/kg while happy muffins can be sold at $15/kg. Formulate an LP to maximize the revenue.

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.