2. The following model represents an optimization problem. Determine the maximum solution. Restrictions: Constraints: Objective function: IER 120 Q - 3y + 2x FOR 720 r+ 32 12 13 -3 -2 -NJ 34 5 8 7 8 9 10 1 12 13 144. A coffee shop makes muffins and cookies. Muffins sell for $2 and cookies sell for $1.50. The werner noticed that they always sell at least twice as many cookies as muffins, but never more than 100 muffins or 300 cookies. Let I represent the number of muffins sold. Let y represent the number of cookies sold. Write a system of linear inequalities to describe the constraints. Then, write an objective function that represents the profit made from the sale of muffins and cookies. Find the maximum profit that can be made. Restrictions: Constraints: Objective function: IEW FEW 409 300 200 100 20105. A publisher sells Math and Science books. Math books sell for $9 and Science books sell for $7 50. The publishers noticed that each month they sell at least three times as many Math books as Science books, but never more than 1500 books a month. Let x represent the number of Math books sold. Let y represent the number of Science books sold. Write a system of linear inequalities to describe the constraints. Then, write an objective function that represents the profit made from the sale of books. Determine the maximum profit possible from the sale of Math and Science books. Because the intersection point is difficult to read from the graph, find the intersection point algebraically. Hint: you will need to use elimination or substitution for a system of equations. Restrictions: Constraints: Objective function: JEW FEW -1010 140 -1280 $ 1030 200 400 830 800 1000 1200 1400 1820