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Simplify the Rational Expression C=500n1/3+1200C = 500 n ^ { 1 / 3 } + 1200

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Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
-A manufacturer's cost is given b C=500n1/3+1200C = 500 n ^ { 1 / 3 } + 1200 , where C is the cost in dollars and n is the number of parts produced. Find the cost when 729 parts are produced.


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