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If ?(?) = 20000 + 400? − 5.2?^2 + .002??^3 is the cost function and ?(?)...

If ?(?) = 20000 + 400? − 5.2?^2 + .002??^3 is the cost function and ?(?) = 2800 − 9? is the demand function, find the production level that will maximize profit. In order to receive full credit, I expect to see the domain, the testing method (closed interval method, first derivative test or second derivative test), as well as all work related to the testing method.

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