A manufacturer estimates that its product can be produced at a total cost of ?(?)=45,000+100?+?3C(x)=45,000+100x+x3 dollars. If the manufacturer's total revenue for the sale of ?x units is ?(?)=5200?R(x)=5200x dollars, determine the level of production ?x that will maximize profit. [Hint; find the profit function first.] Answer units (Round to the nearest whole number.)   Find the maximum profit. $Answer (Round to the nearest whole number.)

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