alloy steel ships to customer using an LTL carrier that charges $$100+0\mathrm{.}01$x$,$ where $\text{'}$x$\text{'}$ is the number of pounds oof steel shipped on the truck. currently alloy practices response time of $2$ days $..$ but the manager is considereing to increase it up to $4$ days. however each day increase in response time will income a total penanlty of $$250.$