Charles buys​ factory-reconditioned hedge trimmers for $20 each and sells them online for $42 each. He has a fixed cost of $200 per month. If x is the number of hedge trimmers he sells per​ month, then his revenue and cost​ (in dollars) are given by R(x)=42x and C(x)=20x+200. Find a formula for the function P(x)=R(x)−C(x). For what values of x is his profit​ positive?

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ISBN:9781337282291
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
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Charles buys​ factory-reconditioned hedge trimmers for $20 each and sells them online for $42 each. He has a fixed cost of $200 per month. If x is the number of hedge trimmers he sells per​ month, then his revenue and cost​ (in dollars) are given by R(x)=42x and C(x)=20x+200. Find a formula for the function P(x)=R(x)−C(x). For what values of x is his profit​ positive?
 
The formula is ​P(x)=......
 
His profit is positive for x≥......
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