CWD Electronics sells computers, which it orders from the USA. Because of shipping and

handling costs, each order must be for $12$ units. Because of the time it takes to receive an order,

the company places an order every time the present stock drops to $6$ units. It costs $$120$ to place

an order. It costs the company $$75$ in lost sales when a customer asks for a computer and the

warehouse is out of stock. It costs $$5$ to keep each computer stored in the warehouse. If a customer

cannot purchase a computer when it is requested, the customer will not wait until one comes in but

will go to a competitor. The demand for computers and the time required to receive an order

once it is placed $($lead time$)$ has the following probability distribution:

The company has $10$ computers in stock. Orders are always received at the beginning of the

week. Note that a lead time of $2$ weeks imply that an order placed at the end of week one will

arrive at the beginning of week $4.$

Required

a$)$ Construct the appropriate random number mappings for the random variables starting

with $00.$

b$)$ Simulate CWD$\text{'}$s ordering and sales policy for $15$ weeks.

c$)$ Compute the average cost of the policy

Use the following headings