Answer
$N(100)=-{{\$}} 18,000$
The company profits ${{\$}} 18,000$ annually,
on the dental coverage of its 100 employees.
Work Step by Step
$N(100)$ is the cost of yearly dental coverage for $q$ employees, after receiving the subsidy from the government.
$N(100)=1000+100\sqrt{100}-200(100)$
$=1000+1000-20,000$
$=-18,000$
The cost being negative means that after receiving the government subsidy of ${{\$}} 20,000$, the company has an annual profit of ${{\$}} 18,000$ on the dental coverage of its 100 employees.
