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A Midwestern factory has been studying there costs and estimates the total costs for an upcoming...

A Midwestern factory has been studying there costs and estimates the total costs for an upcoming production run can be modeled by C(x)=36000+90x+x3C(x)=36000+90x+x3 dollars. The total revenue from the sale of x units is R(x)=2610xR(x)=2610x dollars. Find the profit function and determine the level of production xx that will maximum the profit of the factory.

a)The profit function is P(x)=P(x)=      syntax error

b) The production level per week that results in the maximum profit is

c)The maximum profit is $

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