Calculus with Applications (10th Edition)

$C(x)=30x+100$
Assuming a linear cost function, $C(x)=mx+b$, where m represents the marginal cost and b represents the fixed cost. Here, b= $\$ 100$(fixed cost) and m=$?$(the cost to produce one item). Let$C(x)=$cost of producing$x$items.$C(x)=mx+100$We don't know m, but we were given$C($50$)=1600$, so we solve (for m):$m(50)+100=160050m=1500\qquad/\div 50m=30$. So,$C(x)=30x+100\$