Question

deled 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

Answer 1

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  $R(x)=2x^2+55x+10$

Cost function (C(x)) is given as  $C(x)=2x^2-15x-40$

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).

$P(x)=R(x)-C(x)\\P(x)=2x^2+55x+10-(2x^2-15x-40)\\P(x)=2x^2+55x+10-2x^2+15x+40\\P(x)=70x+50$

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:

$P(x)=70x+50\\P(240)=70(240)+50\\P(240)=16,850$

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