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No business like your business (Posted on 2024-03-12) Difficulty: 2 of 5
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?

No Solution Yet Submitted by Ady TZIDON    
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Solution Puzzle Answer Comment 1 of 1
Let  the respective number of cakes A, B, and C be x, y, and z.
Then, we must have: 
 
9x+10y+12z= 398
6x+ 4y+ 4z = 164
x+ 2y+ z = 58

Solving for x, y, and z, we have:
x=6, y=20, z=12
Therefore, the respective numbers of cake A, cake B, and cake C, that can be created is 6, 20, and 12.


Edited on March 12, 2024, 8:08 am
  Posted by K Sengupta on 2024-03-12 08:04:45

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