Chapter 1.2, Problem 44E

(a)

To determine

To calculate: The annual outlay for dental coverage in a company, where the number of employees are $100$ and the dental coverage at an annual cost C paid by the company to employees is provided by the function $C\left(q\right)=1000+100\sqrt{q}$, where q is the number of employees covered and $C\left(q\right)$ is the annual cost in dollars.

(b)

To determine

The formula for $N\left(q\right)$ where net cost function is provided by $N=C-S$, if the number of employees are $100$ and the dental coverage at an annual cost C paid by the company to employees is given by $C\left(q\right)=1000+100\sqrt{q}$, where q is the number of employees covered and $C\left(q\right)$ is the annual cost in dollars and the government subsidies for coverage amount to $S\left(q\right)=200q$ where, $S\left(q\right)$ is the subsidy per day in dollars.

(c)

To determine

To calculate: The value of $N\left(100\right)$, if the number of employees are $100$ and the dental coverage at an annual cost C paid by the company to employees is given by $C\left(q\right)=1000+100\sqrt{q}$, where q is the number of employees covered and $C\left(q\right)$ is the annual cost in dollars and the government subsidies for coverage amount to $S\left(q\right)=200q$ where $S\left(q\right)$ is the subsidy per day in dollars.