Question

int math 2a pringle adding and subtracting polynomials 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? 70x + 50; $28,800 70x + 50; $16,850 40x - 30; $2,400

Explanation:

Step1: Find profit - polynomial subtraction

Profit = Revenue - Cost. Given Revenue = $2x^{2}+55x + 10$ and Cost = $2x^{2}-15x - 40$. Then Profit=$(2x^{2}+55x + 10)-(2x^{2}-15x - 40)$. Remove parentheses: $2x^{2}+55x + 10-2x^{2}+15x + 40$. Combine like - terms: $(2x^{2}-2x^{2})+(55x + 15x)+(10 + 40)=70x + 50$.

Step2: Calculate profit for $x = 240$

Substitute $x = 240$ into the profit polynomial $70x+50$. We get $70\times240+50=16800 + 50=16850$.

Answer:

$70x + 50; \$16,850$