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? a) 40x – 30; $2,400 b) 40x – 30; $9,570 c) 70x + 50; $16, 850 d) 70x + 50; $28,800

c) 70x + 50; $16, 850

Step-by-step explanation:

Profit = Revenue - Cost

Given:

Revenue = 2x^2 + 55x + 10

Cost = 2x^2 -15x - 40

Now plug in profit expression, we get

Profit = 2x^2 + 55x + 10  - (2x^2 -15x - 40)

Distributing the negative sign, we get

= 2x^2 + 55x + 10 - 2x^2 + 15x + 40

Combining the like terms, we get

= 55x +15x +10 + 40

= 70x + 50

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.

c) 70x + 50; $16, 850

Thank you.

C: 70x + 50; $16, 850

Step-by-step explanation:

Just took the test. Good luck!