Problem 15-33 (Algorithmic)

Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing

operation. This addition will bring the number of machines to ten. The president of Kolkmeyer asked for

a study of the need to add a second employee to the repair operation. The arrival rate is 0.07

machines per hour for each machine, and the service rate for each individual assigned to the repair

operation is 0.6 machines per hour.

a. Compute the operating characteristics if the company retains the single-employee repair

operation. If required, round your answers to four decimal places.

P0 = 0.1479

Lq = 1.8445

L = 2.6965

W

q

= 3.6078 hours

W = 5.2745 hours

b. Compute the operating characteristics if a second employee is added to the machine repair

operation. If required, round your answers to four decimal places.

P0 = 0.3089

Lq = 0.2183

L = 1.2402

W

q

= 0.356 hours

W = 2.0226 hours

c. Each employee is paid $30 per hour. Machine downtime is valued at $70 per hour. From an

economic point of view, should one or two employees handle the machine repair operation?

Explain. If required, round your answers to two decimal places.

Cost of one employee system: $ 218.76

Cost of two employees system: $ 146.81

From an economic point of view, two employees should handle the machine repair

operation.

Problem 15-33 (Algorithmic)

Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing

operation. This addition will bring the number of machines to ten. The president of Kolkmeyer asked for

a study of the need to add a second employee to the repair operation. The arrival rate is 0.07

machines per hour for each machine, and the service rate for each individual assigned to the repair

operation is 0.6 machines per hour.

a. Compute the operating characteristics if the company retains the single-employee repair

operation. If required, round your answers to four decimal places.

 1 / 2

P0 = 0.1479

Lq = 1.8445

L = 2.6965

W

q

= 3.6078 hours

W = 5.2745 hours

c.

d. Compute the operating characteristics if a second employee is added to the machine repair

operation. If required, round your answers to four decimal places.

P0 = 0.3089

Lq = 0.2183

L = 1.2402

W

q

= 0.356 hours

W = 2.0226 hours

f.

g. Each employee is paid $15 per hour. Machine downtime is valued at $70 per hour. From an

economic point of view, should one or two employees handle the machine repair operation? Explain. If

required, round your answers to two decimal places.

Cost of one employee system: $ 203.76

Cost of two employees system: $ 116.81

From an economic point of view, two employees should handle the machine repair operation.

Problem 15-33 (Algorithmic)

Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing

operation. This addition will bring the number of machines to ten. The president of Kolkmeyer asked for

a study of the need to add a second employee to the repair operation. The arrival rate is 0.04

machines per hour for each machine, and the service rate for each individual assigned to the repair

operation is 0.4 machines per hour.

a. Compute the operating characteristics if the company retains the single-employee repair

operation. If required, round your answers to four decimal places.

P0 = 0.2146

Lq = 1.3604

L = 2.1458

W

q

= 4.3302 hours

W = 6.8302 hours

Powered by qwivy(www.qwivy.org)

 2 / 2