Charles buysâ factory-reconditioned hedge trimmers for $40 each and sells them online for $68 each. He has a fixed cost of $300 per month. If x is the number of hedge trimmers he sells perâ month, then his revenue and costâ (in dollars) are given by Upper R left parenthesis x right parenthesis equals 68 xR(x)=68x and Upper C left parenthesis x right parenthesis equals 40 x plus 300C(x)=40x+300.

Find a formula for the function Upper P left parenthesis x right parenthesis equals Upper R left parenthesis x right parenthesis minus Upper C left parenthesis x right parenthesisP(x)=R(x)âC(x). For what values of x is his profitâ positive?

Question

Charles buysâ factory-reconditioned hedge trimmers for $40 each and sells them online for $68 each. He has a fixed cost of $300 per month. If x is the number of hedge trimmers he sells perâ month, then his revenue and costâ (in dollars) are given by Upper R left parenthesis x right parenthesis equals 68 xR(x)=68x and Upper C left parenthesis x right parenthesis equals 40 x plus 300C(x)=40x+300. Find a formula for the function Upper P left parenthesis x right parenthesis equals Upper R left parenthesis x right parenthesis minus Upper C left parenthesis x right parenthesisP(x)=R(x)âC(x). For what values of x is his profitâ positive?

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