Question

PA 7-5 (Algo) keuka Studies does custom metal sculptures... Keuka Studies does custom metal sculptures of horses and other animals. A horse sculpture is composed of numerous parts. They use a lathe to construct two types of parts. The "Body part is used to support the torso of the horse and the "Leg part is used to support the legs. Each horse sculpture needs 1 Body part and 4 Leg parts. Switching between either of the types of parts requires 40 minutes. Once ready to produce, the lathe produces a Body part in 7 minutes and a single Leg part in 1 minutes. The lathe only makes horse parts. For parts (a) d) assume Keuka operates a cyclic schedule in which they make 100 Body parts and then 300 Leg parts. Furthermore, assume the lathe is the bottleneck. Round your answer to 1 decimal place. a. What is the maximum number of horse sculptures Keuka can make per hour? Do not round the intermediate calculations. Round your answer to 2 decimal places b. What is the utilization (%) of the lathe? Round your answer to 1 decimal place. Suppose Keuka is demand-constrained and they have 1 worker who is able to assemble a horse sculpture in 15 minutes. What is the average inventory of Body parts? Suppose Keuka is demand constrained and they have 1 worker who is able to assembl a horse sculpture in 15 minutes. What is the average inventory of Legs? Round your answer to 1 decimal place.

Answer 1

a)

Cycle time of cyclic schedule = 40*2+(100*7+300*1) = 1080 minutes

Cycle time in hours = 1080/60 = 18 hours

With 100 body parts and 300 legs, number of horse sculptures that can be made = 300/4 = 75

Maximum number of horse sculptures Keuka can make per hour = 75/18

= 4.2

b)

Utilization of the lathe = (100*7+300*1)/1080

= 92.6 %

c)

Production rate of horse = 60/15 = 4 per hour

Average inventory of body parts = 100*(1-4/4.2)/2 = 2.4

d)

Average inventory of legs = 300*(1-4/4.2)/2 = 7.1