# In Problem 34 in Chapter 1, when Tracy McCoy wakes up Saturday morning, she remembers that she

## Question:

In Problem 34 in Chapter 1, when Tracy McCoy wakes up Saturday morning, she remembers that she promised the PTA she would make some cakes and/or homemade bread for its bake sale that afternoon. However, she does not have time to go to the store to get ingredients, and she has only a short time to bake things in her oven. Because cakes and breads require different baking temperatures, she cannot bake them simultaneously, and she has only 3 hours available to bake. A cake requires 3 cups of flour, and a loaf of bread requires 8 cups; Tracy has 20 cups of flour. A cake requires 45 minutes to bake, and a loaf of bread requires 30 minutes. The PTA will sell a cake for $10 and a loaf of bread for$6. Tracy wants to decide how many cakes and loaves of bread she should make.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.

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