## Calculus with Applications (10th Edition)

$C(x)=75x+550$
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 $m$= $\$ 75$(the cost to produce one item). Let$C(x)=$cost of producing$x$items.$C(x)=75x+b$We don't know$b$, but we were given$C(50)=4300$, so we solve (for$b$):$75(50) +b=43003750+b=4300b=550C(x)=75x+550\$