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Each unit of a product can be made on either machine A or machine B. The...

Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ.

Machine A: 30+ (x^2) / 6

Machine​ B: C (y) =180 + (y ^3) / 9

Total cost is given by ​C(x,y)= C(x)+ C(y). How many units should be made on each machine in order to minimize total costs if x+y=14,520 units are​ required?

The minimum total cost is achieved when ----------? units are produced on machine A and --------------? units are produced on machine B. ​(Simplify your​ answer.)

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