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I have to produce coke cans. The cost for producing X cans per day is 1/4x 2 +35x+25. The price for selling each unit is

I have to produce coke cans.

The cost for producing X cans per day is 1/4x2+35x+25.

The price for selling each unit is 50-x/2.

How can I figure out how many can I have to produce daily to obtain the max benefits.

It is equal to important to understand why this way of solving the problem

Thanks

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