Question

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. What expression represents the profit, and what is the profit if 420 cell phones are sold?

Answer 1

The profit can be calculated by subtracting the cost function from the revenue function. The profit function is 70x+50. When 420 cell phones are sold, the profit is 29450 dollars.

Step-by-step explanation:

The profit can be calculated by subtracting the cost function from the revenue function. In this case, the revenue function is given as 2x²+55x+10 and the cost function is given as 2x²-15x-40. To find the profit, we subtract the cost function from the revenue function: (2x²+55x+10) - (2x²-15x-40). Simplifying this expression gives us the profit function: 70x+50. To find the profit when 420 cell phones are sold, we substitute x=420 into the profit function. So the profit would be 70(420)+50 = 29450 dollars.