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:

$$87 \%$$

If Professor Laurie Macdonald takes 15 minutes to grade the first exam and follows an $80 \%$ learning curve, how long will it take her to grade the 25th exam?

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

Barbershop

Maggie Moylan Motorcycle Corp. uses kanbans to support its transmission assembly line. Determine the size of the kanban for the mainshaft assembly and the number of kanbans needed.

Setup cost $=\$ 20$

Annual holding cost of mainshaft assembly $=\$ 250$ per unit

Daily production $=300$ mainshafts

Annual usage $=20,000(=50$ weeks $\times 5$ days each $x$ daily usage of 80 mainshafts)

Lead time $=3$ days

Safety stock $=\frac{1}{2}$ day's production of mainshafts

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?

Why is simulation such a widely used technique?

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 3 transplants?

Refer to Problem E.5. Beth Zion Hospital has just been informed that only the first 10 transplants must be performed at the hospital's expense. The cost per hour of surgery is estimated to be $\$ 5,000$. Again, the learning rate is $80 \%$ and the first surgery took 30 hours.

How long will the 10 th surgery take?

Refer to Problem E.5. Beth Zion Hospital has just been informed that only the first 10 transplants must be performed at the hospital's expense. The cost per hour of surgery is estimated to be $\$ 5,000$. Again, the learning rate is $80 \%$ and the first surgery took 30 hours.

How much will all 10 cost the hospital?

Name the three factors that govern the structure of "arrivals" in a queuing system.

The Green Cab Company has a taxi waiting at each of four cabstands in Evanston, Illinois. Four customers have called and requested service. The distances, in miles, from the waiting taxis to the customers are given in the following table. Find the optimal assignment of taxis to customers so as to minimize total driving distances to the customers.

The number of cars arriving at Patti Mile’s Car Wash, in Orono, Maine, during the last 200 hours of operation is observed to be the following:

Simulate 15 hours of car arrivals and compute the average number of arrivals per hour. Select the random numbers needed from column 1, Table F.4, beginning with the digits $\$52$.

A warehouse manager at Mary Beth Marrs Corp. needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product, along with the cumulative distribution, appear in the table. Random numbers have been generated to simulate the next 5 order cycles: they are $91,45,37.65$. and $51$ . What are the five demand values? What is their average?

If it took Boeing $28,718$ hours to produce the eighth 787 jet and the learning-curve factor is $80 \%$, how long did it take to produce the tenth 787 ?