[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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