Please solve all $3$ questions using @RISK:

A large manufacturing company self$-$insures

its employee health insurance claims. That is$,$ it collects a fixed

amount each month from every employee for health care costs

and then it pays the entire claim amounts using its own funds to

make up the difference. It would like to estimate its total health

care payments for the coming year.

The total number of employees at the start of the year is

$11,124.$ The firm expects the number of employees to change

each month over the coming year by a percentage that is

uniformly distributed between $2$ percent and $5$ percent.

Employees contribute $$125$ each per month toward their

health care costs, while the average claim is $$250$ per month.

The average claim itself is expected to grow by an amount

given by a normal distribution with a mean of $1$ percent and a

standard deviation of $2$ percent.

a$.$ What is the expected cost to the company of covering

employee health care costs in the coming year?

b$.$ What is the maximum cost to the company of covering

employee health care costs in the coming year?

c$.$ What is the probability that costs will not exceed $$20$ million?