Consider a process consisting of three resources. Assume there exists unlimited

Question

Consider a process consisting of three resources. Assume there exists unlimited demand for the product. Resource 1 has a processing time of 6 minutes per unit. Resource 2 has a processing time of 1 minutes per unit. Resource 3 has a processing time of 4 minutes per unit. All three resources are staffed by one worker and each worker gets paid $14 per hour. nstruction: "Round "cost of direct labor" and "target manpower" to 2 decimal places. Round 'average labor utilization percent and "takt time" to 2 decimal places. a. What is the cost of direct labor? $ 2.50 per unit b. What is the labor content? 11 minutes per unit How much idle time does the worker at resource 3 have per unit? C. 7 minutes per unit d. What is the average labor utilization? 45.83 percent Assume the demand rate is 15 units per hour. What is the takt time? 4.00 minutes per unit f, Assume the demand rate is 15 units per hour. What is the 4.00 minutes per unit target manpower?

Explanation / Answer

Resource 1: 6 minutes per unit

Resource 2: 1 minutes per unit

Resource 3: 4 minutes per unit

Bottleneck capacity resource 1 as it take max time. Therefore, total capacity = 10 units per hour

Cost per hour = $14

a.

Cost of direct labour

10 units = $14

1 unit = 14/10 = $1.4 per unit

b.

Labour content = 6 + 1 + 4 = 11 minutes per unit

c.

Idle time at resource 3:

Max time taking resource – resource 3 time = 6-4 = 2 minutes per unit

d.

Average labour utilization = Total working time / total time available

Total working time:

Resource 1 = 60 minutes

Resource 2 takes 1 minute per 6 minute taken by resource 1. Thus, time taken = 10 minutes

Similarly, Resource 3 = (4/6)*60 = 40 minutes (resource 3 and 1 are in ratio 4:6)

Thus total working time = 60+10+40 = 110 minutes

Also, each resource has its one hour. Thus total time = 3 hours = 180 minutes

Average labour utilization = 110/180 = 0.61 = 61.0%

e.

Takt time = Time available per resource / demand of product = 60/15 = 4 minutes / unit

f.

Capacity = time available / time taken per unit           (unit/hour)

Resource1: 60/6 = 10 units

Resource2: 60/1 = 60 units

Resource3: 60/4 = 15 units

Target manpower = Requirement / Capacity

Resource 1: 15/10 =1.5 = 2

Resource 2: 15/60 =0.25 = 1

Resource 3: 15/15 = 1

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.