How many cakes?

You own a catering business that makes specialty cakes. Your company has decided to create three types of cakes. To create these cakes, it takes a team that consists of a decorator, a baker, and a design consultant.
Cake A takes the decorator 9 hours, the baker 6 hours, and the design consultant 1 hour to complete.
Cake B takes the decorator 10 hours, the baker 4 hours, and the design consultant 2 hours.
Cake C takes the decorator 12 hours, the baker 4 hour, and the design consultant 1 hour.
Without hiring additional employees, there are 398 decorator hours available, 164 baker hours available, and 58 design consultant hours available. How many of each type of cake can be created?
A = The number of cake A that can be produced.
B = The number of cake B that can be produced.
C = The number of cake C that can be produced.


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