1. When Tracy McCoy wakes up Saturday morning, she remembers that she promised the PTA Would make some cakes and/or homemade bread for its bake sale that afternoon. However, ha 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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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PTA would make some cake
does not have time t0 g0 to the store t0 get ingredients_ and she has only & 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 hours available to bake A cake requires flour; a.d cups
Of loaf of bread requires 8 cups; Tracy has 20 cups of flour: A cake requires 45 t0 bake, and miulcs
loaf of bread requires 30 minutes. The PTA will sell cake for IObread for6. Tracy wants [0 decide
how and loal of many cakes Formulate and loaves Of bread she should make; linear = programming
model for this problem; Solve this model by using graphical analysis.
%3D
Problems
1./When Tracy McCoy wakes up Saturday morning, she remembers that she promised the PTA
would make some cakes and/or homemade bread for its bake sale that afternoon. However che
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.
Transcribed Image Text:PTA would make some cake does not have time t0 g0 to the store t0 get ingredients_ and she has only & 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 hours available to bake A cake requires flour; a.d cups Of loaf of bread requires 8 cups; Tracy has 20 cups of flour: A cake requires 45 t0 bake, and miulcs loaf of bread requires 30 minutes. The PTA will sell cake for IObread for6. Tracy wants [0 decide how and loal of many cakes Formulate and loaves Of bread she should make; linear = programming model for this problem; Solve this model by using graphical analysis. %3D Problems 1./When Tracy McCoy wakes up Saturday morning, she remembers that she promised the PTA would make some cakes and/or homemade bread for its bake sale that afternoon. However che 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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