Beate Klingenberg manages a Poughkeepsie. New York, movie theater complex called Cinema 8. Each of the eight auditoriums plays a different film; the schedule staggers starting times to avoid the large crowds that would occur if all four movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 patrons per hour. Service times are assumed to follow a negative exponential distribution. Arrivals on a normally active day are Poisson distributed and average 210 per hour.

To determine the efficiency of the current ticket operation, Beate wishes to examine several queue-operating characteristics.

Find the average number of moviegoers waiting in line to purchase a ticket.

Dr. Tarun Gupta, a Michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. Tarun can "shoot" a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 6 minutes according to a Poisson distribution. Also assume that Tarun's shooting times are negative exponentially distributed. Compute the following:

The average number of dogs being vaccinated and waiting to be vaccinated.

The following are monthly actual and forecast demand levels for May through December for units of a product manufactured by the D. Bishop Company in Des Moines:

What is the value of the tracking signal as of the end of December?

Which of the following is not a distortion in perception? a. Pygmalion effect b. Stereotyping c. Halo effect d. Selective perception e. Causal attribution

Describe the behavior of a waiting line where $\lambda>\mu$. Use both analysis and intuition.

Name the three parts of a typical queuing system.

In operations management, as in life, a balanced approach is often the best policy. One of the best examples of the benefits of this in operations management is the lean approach. Explain the basic factors that must be in place in order to achieve a balanced lean system.

Three popular measures of forecast accuracy are:

a) total error, average error, and mean error.

b) average error, median error, and maximum error.

c) median error, minimum error. and maximum absolute error.

d) mean absolute deviation. mean squared error. and mean absolute percent error.

You were asked to investigate extremely high, unexplained merchandise shortages at a department store chain. You found the following:

b. The receiving supervisor signs receiving reports showing that the total quantity shipped by a supplier was received and then diverts 5% to 10% of each shipment to the boutique.

Classify each of the five situations as a fraudulent act, a red flag or symptom of fraud, an internal control weakness, or an event unrelated to the investigation. Justify your answers.

A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year. Which coordinates represent a good central location for this office? What other factors might influence the office location decision? Where would you place this office? Explain.

Daily high temperatures in St. Louis for the last week were as follows: 93,94,93,95,96,88,90 (yesterday).

Forecast the high temperature today, using a 3-day moving average.

As the production planner for Xiangling Hu Products, Inc., you have been given a bill of material for a bracket that is made up of a base, two springs, and four clamps. The base is assembled from one clamp and two housings. Each clamp has one handle and one casting. Each housing has two bearings and one shaft. There is no inventory on hand.

Design a product structure noting the quantities for each item and show the low-level coding.

Bell Computers purchases integrated chips at $\$ 350$ per chip. The holding cost is $\$ 35$ per unit per year, the ordering cost is $\$ 120$ per order, and sales are steady, at 400 per month. The company's supplier. Rich Blue Chip Manufacturing, Inc., decides to offer price concessions in order to attract larger orders. The price structure is shown below.

Bell Computers wishes to use a $10\%$ holding cost rather than the fixed $\$ 35$ holding cost in (a). What is the optimal order quantity, and what is the optimal annual cost?

Cesar Rego Computers, a Mississippi chain of computer hardware and software retail outlets, supplies both educational and commercial customers with memory and storage devices. It currently faces the following ordering decision relating to purchases of very high-density disks:

$$\begin{aligned} D &=36,000 \text { disks } \\ S &=\$ 25 \\ H &=\$ 0.45 \end{aligned}$$

Purchase price $=\$ .85$

Discount price $=\$ 0.82$

Quantity needed to qualify for the discount $=6,000$ disks

Should the discount be taken?