[A] A bakery bakes two brands of birthday cakes: cake city and chocolate cake and sells them at a profit of Ksh 50 per cake city and Ksh 20 per chocolate cake. Each cake is processed on two automatic machines M1 and M2. Cake city requires 1 minute of processing time and 2 minutes on M2. Chocolate cake requires 1.5 minutes on M1 and 2.5 minutes on M2. The machines M1 and M2 are available for 6 hours 30 minutes and 9 hours respectively. Formulate this problem as a linear programming problem and solve by graphical method.
[A] A bakery bakes two brands of birthday cakes: cake city and chocolate cake and sells them at a profit of Ksh 50 per cake city and Ksh 20 per chocolate cake. Each cake is processed on two automatic machines M1 and M2. Cake city requires 1 minute of processing time and 2 minutes on M2. Chocolate cake requires 1.5 minutes on M1 and 2.5 minutes on M2. The machines M1 and M2 are available for 6 hours 30 minutes and 9 hours respectively. Formulate this problem as a linear programming problem and solve by graphical method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![[A] A bakery bakes two brands
of birthday cakes: cake city and
chocolate cake and sells them
at a profit of Ksh 50 per cake
city and Ksh 20 per chocolate
cake. Each cake is processed
on two automatic machines
M1 and M2. Cake city requires
1 minute of processing time
and 2 minutes on M2.
Chocolate cake requires 1.5
minutes on M1 and 2.5
minutes on M2. The machines
M1 and M2 are available for 6
hours 30 minutes and 9 hours
respectively. Formulate this
problem as a linear
programming problem and
solve by graphical method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F319889ab-3dd2-4868-9002-1e2dcd7cbcb3%2F1c460075-856e-4894-983d-6f05d7d85a1f%2Fyor701t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[A] A bakery bakes two brands
of birthday cakes: cake city and
chocolate cake and sells them
at a profit of Ksh 50 per cake
city and Ksh 20 per chocolate
cake. Each cake is processed
on two automatic machines
M1 and M2. Cake city requires
1 minute of processing time
and 2 minutes on M2.
Chocolate cake requires 1.5
minutes on M1 and 2.5
minutes on M2. The machines
M1 and M2 are available for 6
hours 30 minutes and 9 hours
respectively. Formulate this
problem as a linear
programming problem and
solve by graphical method.
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