To find the profit, we need to subtract the cost from the revenue.
Profit = Revenue - Cost
Profit = (2x^2 + 55x + 10) - (2x^2 - 15x - 40)
Profit = 2x^2 + 55x + 10 - 2x^2 + 15x + 40
Profit = 70x + 50
Now, we can find the profit when 240 cell phones are sold by substituting x = 240 into the profit expression:
Profit = 70(240) + 50
Profit = 16800 + 50
Profit = $16,850
Therefore, the correct expression that represents profit is 70x + 50, and the profit when 240 cell phones are sold is $16,850.
The correct answer is:
70x + 50; $16,850
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
1 answer