Homework #$3$

Read the following examples from the book and presentations posted on the Blackboard:

$3\mathrm{.}3$ Simulating a Queue with Two Servers $($Able and Baker$)$

The coming customer will choose Able when Able and Baker are free. What if the customers choose randomly instead of Able $(50\%$ for Able, $50\%$ for Baker$).$ Make the required changes to reflect this in your work.

Find:

The expected waiting time for a customer in the queue.

The expected number of customers in the system.

The utilization of Able and the utilization of Baker.

$4\mathrm{.}1$ Simulating the News Dealer$$s Problem

Consider the following demand distribution instead of the one provided in the book:

Demand $($D$)$ Probability $($P$\_$D$)$

$550\mathrm{.}2$

$650\mathrm{.}3$

$750\mathrm{.}3$

$850\mathrm{.}2$

What is the best order quantity among values of $50$ and $70?$