Mathematics
Grade10
Easy

Question

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 straight x squared plus 180 straight x. The cost, in dollars, of producing the televisions can be modeled by 3 straight x squared minus 160 straight x plus 300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?

  1. $ 56000
  2. $ 50700
  3. $ 48000
  4. $ 65000

The correct answer is: $ 50700


    Profit = Revenue – Cost
    Revenue =3 straight x squared plus 180 straight x
    Cost =3 straight x squared minus 160 straight x plus 300
    Profitequals left parenthesis 3 straight x squared plus 180 straight x right parenthesis – left parenthesis 3 straight x squared – 160 straight x plus 300 right parenthesis
    3 x squared plus 180 x minus 3 x squared plus 160 x minus 300
3 x squared minus 3 x squared plus 180 x plus 160 x minus 300
    = 340x – 300
    If x = 150, profit = 340*150 – 300 = $50,700

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