Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3 x squared plus 180 x The cost, in dollars, of producing the televisions can be modeled by 3 x squared minus 160 x plus 300 The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?
Profit equals revenue minus cost: (3x² + 180x) − (3x² − 160x + 300) = 340x − 300. For 150 televisions, the profit is 340(150) − 300 = 50,700 dollars, so the correct choice is $50,700.
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