video games sold: x\nrevenue function: r(x) = 60x\ncost function: c(x) = 12 + 7x\nprofit function: p(x) =

video games sold: x\nrevenue function: r(x) = 60x\ncost function: c(x) = 12 + 7x\nprofit function: p(x) =

video games sold: x\nrevenue function: r(x) = 60x\ncost function: c(x) = 12 + 7x\nprofit function: p(x) =

Answer

Explanation:

Step1: Recall profit - revenue formula

Profit function $P(x)$ is given by $P(x)=R(x)-C(x)$.

Step2: Substitute given functions

Substitute $R(x) = 60x$ and $C(x)=12 + 7x$ into the profit - formula: $P(x)=60x-(12 + 7x)$.

Step3: Simplify the expression

$P(x)=60x-12 - 7x$. Combine like - terms: $P(x)=(60x-7x)-12=53x - 12$.

Answer:

$53x - 12$