Beth Zion Hospital has received initial certification from the state of California to become a center for liver transplants. The hospital, however, must complete its first 18 transplants under great scrutiny and at no cost to the patients. The very first transplant, just completed, required 30 hours. On the basis of research at the hospital, Beth Zion estimates that it will have an $80 \%$ learning curve. Estimate the time it will take to complete all of the first 5 transplants.

The first vending machine that William Kine, Inc., assembled took 80 labor-hours. Estimate how long the fourth machine will require for each of the following learning rates:

$$87 \%$$

Every home football game for the past 8 years at Southwestern University has been sold out. The revenues from ticket sales are significant, but the sale of food, beverages, and souvenirs has contributed greatly to the overall profitability of the football program. One particular souvenir is the football program for each game. The number of programs sold at each game is described by the probability distribution given in the following table.

Each program costs $\$ .80$ to produce and sells for $\$ 2.00$. Any programs that are not sold are donated to a recycling center and do not produce any revenue.

Every home football game for the past 8 years at Southwestern University has been sold out. The revenues from ticket sales are significant, but the sale of food, beverages, and souvenirs has contributed greatly to the overall profitability of the football program. One particular souvenir is the football program for each game. The number of programs sold at each game is described by the probability distribution given in the following table.

Each program costs $\$ .80$ to produce and sells for $\$ 2.00$. Any programs that are not sold are donated to a recycling center and do not produce any revenue.

If the university decided to print $2,600$ programs for each game, what would the average profits be for the 10 games that were simulated?

What is Monte Carlo simulation? What principles underlie its use, and what steps are followed in applying it?

Girish Shambu and William Reisel are teammates at a discount store; their new job is assembling bicycles for customers. Assembly of a bike has a learning rate of $90 \%$. They forgot to time their effort on the first bike, but spent 4 hours on the second set. They have 6 more bikes to do. Determine approximately how much time will be (was) required for all 8 units

Temple Trucking Co, just hired Ed Rosenthal to verify daily invoices and accounts payable. He took 9 hours and 23 minutes to complete his task on the first day. Prior employees in this job have tended to follow a $90 \%$ learning curve. How long will the task take at the end of the 2nd day?

If it took 563 minutes to complete a hospital's first cornea transplant, and the hospital uses a $90 \%$ learning rate, what is the cumulative time to complete the first 16 transplants?

Tej Dhakar's company wants to establish kanbans to feed a newly established work cell. The following data have been provided. How many kanbans are needed?

Leonard Presby's newsstand uses naive forecasting to order tomorrow's papers. The number of newspapers ordered corresponds to the previous day's demands. Today's demand for papers was 22. Presby buys the newspapers for $\$ 20$ and sells them for $\$ .50$. Whenever there is unsatisfied demand, Presby estimates the lost goodwill cost at $\$ .10$. Complete the accompanying table, and answer the questions that follow.

How many papers has Presby ordered for day 5 ?

What are the approaches to solving learning-curve problems?

What are the components of the following queuing systems? Draw and explain the configuration of each.

Barbershop

Richard Dulski's firm is about to bid on a new radar system. Although the product uses new technology, Dulski believes that a learning rate of $75 \%$ is appropriate. The first unit is expected to take 700 hours, and the contract is for 40 units.

What is the total amount of hours to build the 40 units?

Why might the results of a simulation differ each time you make a run?

Susan Sherer, an IRS auditor, took 45 minutes to process her first tax return. The IRS uses an $85 \%$ learning curve. How long will the 2nd return take?