A company's estimation of cost $'c'$ which is in dollars of producting $n$ items is $c = 5n+200$. The company sells each item for $\$10$. It makes a profit when total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Which of the following inequalities gives all possible values of $n$ for which the manager estimates that the company will make a profit ?

Question

$\begin{array}{1 1} (a)\;n>30 \\(b)\; n>35 \\(c)\; n>40 \\ (d)\;n>45\end{array}$