Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones soldProfit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold. What expression represents the profit, and what is the profit if 240 cell phones are sold

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Answer:

  • Expression for Profit is 70x+50
  • Profit when 240 phones are sold is $16,850

Step-by-step explanation:

Revenue function (R(x)) is given as  [tex]R(x)=2x^2+55x+10[/tex]

Cost function (C(x)) is given as  [tex]C(x)=2x^2-15x-40[/tex]


To find the expression for profit, we use Revenue - Cost = Profit

We simply substitute the functions given above into this word equation.

Let's call Profit as P(x).

[tex]P(x)=R(x)-C(x)\\P(x)=2x^2+55x+10-(2x^2-15x-40)\\P(x)=2x^2+55x+10-2x^2+15x+40\\P(x)=70x+50[/tex]

The expression for Profit function is  70x+50


Since x represents the number of phones sold, and we want to find the PROFIT when number of phones sold is 240, we plug in 240 into x in the profit function just found above. Thus:

[tex]P(x)=70x+50\\P(240)=70(240)+50\\P(240)=16,850[/tex]

Thus the profit if 240 phones are sold is $16,850

Answer:

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones soldProfit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold. What expression represents the profit, and what is the profit if 240 cell phones are sold

Step-by-step explanation:

Answer:

Expression for Profit is 70x+50

Profit when 240 phones are sold is $16,850

Step-by-step explanation:

Revenue function (R(x)) is given as  

Cost function (C(x)) is given as  

To find the expression for profit, we use Revenue - Cost = Profit

We simply substitute the functions given above into this word equation.

Let's call Profit as P(x).

The expression for Profit function is  70x+50

Since x represents the number of phones sold, and we want to find the PROFIT when number of phones sold is 240, we plug in 240 into x in the profit function just found above. Thus:

Thus the profit if 240 phones are sold is $16,850