## Calculus with Applications (10th Edition)

$C(x)=120x+12,500$
Assuming a linear cost function, $C(x)=mx+b$, where m represents the marginal cost and b represents the fixed cost. Here, $b$= $?$(fixed cost) and $m$= $\$ 120$(the cost to produce one item).$C(x)=120x+b$Now,$C(x)=96,500$when$x=700$. We don't know$b$, but we were given$C(700)=96,500$, so we solve (for$b$):$120(700)+b=96, 50084,000+b=96, 500b=12, 500C(x)=120x+12,500\$