profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes…

profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial $2x^{3}+30x - 130$. the cost, in dollars, of producing the skateboards can be modeled by $2x^{3}-3x - 520$. the variable $x$ represents the number of skateboards sold. what expression represents the profit?\n$27x - 650$\n$27x + 390$\n$33x - 650$\n$33x + 390$

profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial $2x^{3}+30x - 130$. the cost, in dollars, of producing the skateboards can be modeled by $2x^{3}-3x - 520$. the variable $x$ represents the number of skateboards sold. what expression represents the profit?\n$27x - 650$\n$27x + 390$\n$33x - 650$\n$33x + 390$

Answer

Explanation:

Step1: Escribir la fórmula de ganancia

La ganancia $P$ se define como $P = R - C$, donde $R$ es el ingreso y $C$ es el costo. Aquí, $R=2x^{3}+30x - 130$ y $C = 2x^{3}-3x - 520$.

Step2: Sustituir los polinomios en la fórmula

$P=(2x^{3}+30x - 130)-(2x^{3}-3x - 520)$.

Step3: Eliminar los paréntesis

$P=2x^{3}+30x - 130 - 2x^{3}+3x + 520$.

Step4: Combinar términos semejantes

$P=(2x^{3}-2x^{3})+(30x + 3x)+(-130 + 520)$. $P = 33x+390$.

Answer:

D. $33x + 390$