Solve maximization or minimization problems using the principles of linear programming. Interpret the feasible region of a linear programming and apply the simplex method to solve problems. Make sure to include correct mathematical procedures and provide clear and complete explanations and interpretations. In the case that the result is decimal, you will round it to two decimal places.
2. Big Round Cheese Company keeps 45 pounds of cheddar and 49 pounds of brie on hand each day. Make two Christmas packages: the “Holiday” box, which has 5 pounds of cheddar and 2 pounds of brie, and the “Noel” box, which contains 2 pounds of cheddar and 7 pounds of brie. The profit for each assortment of "Holiday" is $ 6 and the profit for each assortment of "Noel" is $ 8. Use the principles of linear programming to determine the resulting maximum profit.
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