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Introduction to Management Science 12th Edition by Bernard Taylor
Edition 12ISBN: 978-0133778847Introduction to Management Science 12th Edition by Bernard Taylor
Edition 12ISBN: 978-0133778847 Exercise 21
In Problem, how much flour and sugar will be left unused if the optimal numbers of cakes and Danish are baked
Problem
The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available, and the demand for coffee cakes is 5. Five pounds of flour and 2 pounds of sugar are required to make a pan of coffee cakes, and 5 pounds of flour and 4 pounds of sugar are required to make a pan of Danish. A pan of coffee cakes has a profit of $1, and a pan of Danish has a profit of $5. Determine the number of pans of cakes and Danish to produce each day so that profit will be maximized.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
Problem
The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available, and the demand for coffee cakes is 5. Five pounds of flour and 2 pounds of sugar are required to make a pan of coffee cakes, and 5 pounds of flour and 4 pounds of sugar are required to make a pan of Danish. A pan of coffee cakes has a profit of $1, and a pan of Danish has a profit of $5. Determine the number of pans of cakes and Danish to produce each day so that profit will be maximized.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
Explanation
Verified
Verified
The four steps are as follows:
1. Identi...
Introduction to Management Science 12th Edition by Bernard Taylor
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