Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are negative exponentially distributed.

What is the average time a car is in the system?

Compare how the corner-point and iso-profit line methods work for solving graphical problems.

What cycle time would match capacity and demand if demand is 120 units a day, there are two shifts of 480 minutes each, and workers are given three half-hour breaks during each shift, one of which is for lunch or dinner?

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.

What is the average time spent waiting in line to get to the ticket window?

When applying LP to diet problems, the objective function is usually designed to:

a) maximize profits from blends of nutrients.

b) maximize ingredient blends.

c) minimize production losses.

d) maximize the number of products to be produced.

e) minimize the costs of nutrient blends.

Why is the setup of a recipe so important to the foodservice industry?

The actual demand for the patients at Omaha Emergency Medical Clinic for the first 6 weeks of this year follows:

Clinic administrator Marc Schniederjans wants you to forecast patient demand at the clinic for week 7 by using this data. You decide to use a weighted moving average method to find this forecast. Your method uses four actual demand levels, with weights of $0.333$ on the present period, $0.25$ one period ago, $0.25$ two peri= ods ago, and $0.167$ three periods ago.

If instead the weights were $20,15,15$, and 10 , respectively, how would the forecast change? Explain why.

Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average $\lambda=3$ per 8-hour workday (approximately Poisson in nature). The crew can service an average of $\mu=8$ machines per workday, with a repair time distribution that resembles the negative exponential distribution.

What is the average downtime for a broken machine?

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.

What is the average time that a customer spends in the system?

Using a graphical solution procedure to solve a maximization problem requires that we:

a) move the iso-profit line up until it no longer intersects with any constraint equation.

b) move the iso-profit line down until it no longer intersects with any constraint equation.

c) apply the method of simultaneous equations to solve for the intersections of constraints.

d) find the value of the objective function at the origin.

What are the sources of energy the foodservice industry uses?

Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average $\lambda=3$ per 8-hour workday (approximately Poisson in nature). The crew can service an average of $\mu=8$ machines per workday, with a repair time distribution that resembles the negative exponential distribution.

How many machines are waiting to be serviced at any given time?

Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average $\lambda=3$ per 8-hour workday (approximately Poisson in nature). The crew can service an average of $\mu=8$ machines per workday, with a repair time distribution that resembles the negative exponential distribution.

What is the probability that more than 1 machine is in the system? The probability that more than 2 are broken and waiting to be repaired or being serviced? More than 3 ? More than 4 ?

Neve Commercial Bank is the only bank in the town of York, Pennsylvania. On a typical Friday, an average of 10 customers per hour arrive at the bank to transact business. There is currently one teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times may be described by the negative exponential distribution. If a single teller is used, find:

The average time in the line.