100% Correct MOS3330 Homework 4 solutions

PA 4-4 (Algo) Mr. K’s is a very popular hair salon. It…

Mr. K’s is a very popular hair salon. It offers high-quality hairstyling and physical relaxation services at a reasonable price, so it always has unlimited demand. The service process includes five activities that are conducted in the sequence described next (the time required for each activity is shown in parentheses):

Activity 1: Welcome a guest and offer homemade herb tea (13 minutes).
Activity 2: Wash and condition hair (13 minutes).
Activity 3: Neck, shoulder, and back stress-release massage (13 minutes).
Activity 4: Design the hairstyle and do the hair (28 minutes).
Activity 5: Check out the guest (12 minutes).

Three service employees (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to the service employees is the following: S1 does activity 1, S2 does activities 2 and 3, and S3 does activities 4 and 5.

What is the labor content?
What is the average labor utilization? Note: Round your final answer to 2 decimal places.
At a wage rate of $25 per hour, what is the cost of direct labor per customer? Note: Round your final answer to 2 decimal places.
Mr. K considers hiring a new employee to help any one (and only one) of the servers without changing the tasks performed by each server. What will be the new cost of direct labor? Note: Round your final answer to 2 decimal places.
Returning to the three-worker scenario, Mr. K contemplates redesigning the assignment of tasks to servers. For this, Mr. K is evaluating the reassignment of Activity 5 from S3 to S1. What will be the new cost of direct labor? Note: Round your final answer to 2 decimal places.

PA 4-6 (Algo) Atlas Incorporated is a toy bicycle manufacturing…

Atlas Incorporated is a toy bicycle manufacturing company producing a five-inch small version of the bike that Lance Armstrong rode to win his first Tour de France. The assembly line at Atlas Incorporated consists of seven work stations, each performing a single step. Stations and processing times are summarized here:

Step 1 (30 seconds): The plastic tube for the frame is cut to size.
Step 2 (20 seconds): The tube is put together.
Step 3 (35 seconds): The frame is glued together
Step 4 (20 seconds): The frame is cleaned.
Step 5 (25 seconds): Paint is sprayed onto the frame.
Step 6 (50 seconds): Wheels are assembled.
Step 7 (35 seconds): All other parts are assembled to the frame.

Under the current process layout, workers are allocated to the stations as shown here:

Worker 1: Steps 1 and 2
Worker 2: Steps 3 and 4
Worker 3: Step 5
Worker 4: Step 6
Worker 5: Step 7

Assume the workers are paid $15 per hour. Each bicycle is sold for $5 and includes parts that are sourced for $1. The company has fixed costs of $175 per hour. Despite Lance Armstrong’s doping confession, there exists substantially more demand for the bicycle than Atlas can supply.

Note: Do not round intermediate calculations. Round all answers to 2 decimal places.

What is the cost of direct labor for the bicycle?
How much profit does the company make per hour?
What would be the profits per hour if Atlas would be able to source the parts 11 percent cheaper ($0.89 for the parts of one unit)?
What would be the profits per hour if Atlas were able to reduce fixed costs by 12 percent (to $154 per hour)?
What would be the profit per hour if Atlas were able to reduce the processing time at the bottleneck by 4 seconds per unit (assume unlimited demand)?

PA 4-2 (Algo) Consider a process consisting of…

Consider a process consisting of three resources. Assume there exists unlimited demand for the product, and that all activities are always performed in the following sequence.

Resource 1 has a processing time of 7 minutes per unit.
Resource 2 has a processing time of 4 minutes per unit.
Resource 3 has a processing time of 6 minutes per unit.

All three resources are staffed by one worker and each worker gets paid $11 per hour.

What is the cost of direct labor?Note: Do not round your intermediate calculations. Round your answer to 2 decimal places.
What is the labor content?
How much idle time does the worker at resource 3 have per unit?
What is the average labor utilization?Note: Do not round your intermediate calculations. Round your answer to 2 decimal places.
Assume the demand rate is 17 units per hour. What is the takt time?Note: Round your answer to 2 decimal places.
Assume the demand rate is 17 units per hour. What is the target manpower?Note: Do not round your intermediate calculations. Round your answer to 2 decimal places.

Problem 8-13

The Sun River beverage company is a regional producer of teas, exotic juices, and energy drinks. With an interest in healthier lifestyles, there has been an increase in demand for their sugar-free formulation.

The final packing operation requires 13 tasks. Sun River bottles their sugar-free product 5 hours a day, 5 days a week. Each week, there is a demand for 2,500 bottles of this product.

TASK	PERFORMANCE TIME (MINUTES)	IMMEDIATE PREDECESSORS
1	0.2	—
2	0.2	1
3	0.3	2
4	0.1	2
5	0.2	2
6	0.2	3, 4, 5
7	0.3	1
8	0.1	7
9	0.1	8
10	0.1	9
11	0.2	6
12	0.1	10, 11
13	0.1	12

Using the above data, solve the assembly-line balancing problem and calculate the efficiency of your solution. Use the longest task time for your decision criteria. Use the largest number of following tasks as a secondary criterion. (Round your answer to the nearest whole percent.)

Problem 8-13

The final packing operation requires 13 tasks. Sun River bottles their sugar-free product 5 hours a day, 5 days a week. Each week, there is a demand for 2,140 bottles of this product.

TASK	PERFORMANCE TIME (MINUTES)	IMMEDIATE PREDECESSORS
1	0.1	—
2	0.2	1
3	0.2	2
4	0.1	2
5	0.1	2
6	0.3	3, 4, 5
7	0.2	1
8	0.1	7
9	0.1	8
10	0.2	9
11	0.3	6
12	0.2	10, 11
13	0.3	12

Problem 8-7

Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table. These are to be combined into workstations to create an assembly line. The assembly line operates 9 hours per day. The output requirement is 900 units per day.

TASK	PRECEDING TASKS	TIME (SECONDS)	TASK	PRECEDING TASKS	TIME (SECONDS)
A	—	29	G	C	20
B	A	17	H	D	9
C	A	15	I	E	8
D	B	12	J	F, G	16
E	B	14	K	H, I	8
F	C	19	L	J, K	7

a. What is the workstation cycle time?

b. Balance the line using the longest task time based on the 900-unit forecast, stating which tasks would be done in each workstation. (Leave no cells blank – be certain to enter “0” wherever required.)

c. What is the efficiency of your line balance? (Round your answer to 1 decimal place.)

d. After production was started, Marketing realized that they understated demand and must increase output to 1,000 units. There are two options: reduce cycle time or work overtime. Please identify the following: (Round your answers to the nearest whole number.)

Problem 8-10

The following tasks are to be performed on an assembly line:

TASK	SECONDS	TASKS THAT MUST PRECEDE
A	30	—
B	15	A
C	16	B
D	20	B
E	22	C
F	17	D
G	15	E-F
H	21	G

The workday is 9.5 hours long. Demand for completed product is 900 per day.

a. Find the cycle time. (Round your answer to 1 decimal place.)

b. What is the theoretical number of workstations? (Round up your answer to the next whole number.)

d. Balance the line using the longest-operating-time rule. (Leave no cells blank – be certain to enter “0” wherever required. Round your answers to 1 decimal place.)

e.What is the efficiency of the line balanced as in (d)? (Round your answer to 1 decimal place.)

f. Suppose that demand rose from 900 to 1,150 units per day. What would you do? (Round your answer to the nearest whole number.)

g. Suppose that demand rose from 900 to 1,450 units per day. What would you do? (Round your answer to the nearest whole number.)

Solution

PA 4-4 (Algo) Mr. K’s is a very popular hair salon. It…

Activity 1: Welcome a guest and offer homemade herb tea (13 minutes).
Activity 2: Wash and condition hair (13 minutes).
Activity 3: Neck, shoulder, and back stress-release massage (13 minutes).
Activity 4: Design the hairstyle and do the hair (28 minutes).
Activity 5: Check out the guest (12 minutes).

What is the labor content?

Answer

Labor content = 13 minutes Activity 1 + 13 minutes Activity 2 + 13 minutes Activity 3 + 28 minutes Activity 4 + 12 minutes Activity 5 = 79.00 minutes

What is the average labor utilization? Note: Round your final answer to 2 decimal places.

Answer

79 minutes labor content / (3 employees × 40 minutes bottleneck) = 65.83%

At a wage rate of $25 per hour, what is the cost of direct labor per customer? Note: Round your final answer to 2 decimal places.

Answer

$75 per hour / 1.5000 customers per hour = $50.00 per customer

Mr. K considers hiring a new employee to help any one (and only one) of the servers without changing the tasks performed by each server. What will be the new cost of direct labor? Note: Round your final answer to 2 decimal places.

Answer

$100.00 per hour / 2.3100 customers per hour = $43.33 per customer

Returning to the three-worker scenario, Mr. K contemplates redesigning the assignment of tasks to servers. For this, Mr. K is evaluating the reassignment of Activity 5 from S3 to S1. What will be the new cost of direct labor? Note: Round your final answer to 2 decimal places.

Answer

$75 per hour / (60/28) customers per hour = $35.00 per customer