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 sold. What expression represents the profit, and what is the profit if 240 cell phones are sold?

40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800

-The expression represents the profit= P(x)=70x+50 and profit on selling of 240 cell phones =$16850.

Explanation :-

Given: Revenue function=

Cost function=

As profit is the difference between revenue and cost.

Thus Profit function = Revenue function-Cost function

Now, if 240 cell phones are sold , then put x=240 in the profit function such that

Profit=P(240)=70(240)+50=16800+50=$16850.

Thus, the expression represents the profit= P(x)=70x+50 and profit on selling of 240 cell phones =$16850.