Consider the following batch flow process consisting of three process steps perf

Question

Consider the following batch flow process consisting of three process steps performed by three machines. Work is processed in batches at each step. Before a batch is processed at step 1, the machine has to be set up. During a setup, the machine is unable to process any product. What batch size would you choose assuming that all units of a batch stay together for the entire process? Show Calculation.

a. Less than 5 parts

b. At least 5 parts but less than 15 parts

c. At least 15 parts but less than 25 parts

d. At least 25 parts but less than 35 parts

e. At least 35 parts but less than 45 parts

f. More than 45 parts

Explanation / Answer

STEP 1 STEP 2 STEP 3 PROCESSING TIME 1 2 1.5 (min/part) SETUP TIME 20 0 0 (min) NOTE: In order to determine an optimal batch size, we set the process capacity of Step 1 (the only step dependent on batch size) equal to the capacity of the would-be bottleneck (Step 2: 30 units/hr). Solving for Batch Size, B capacity = Batch Size / (Setup time +(Batch size*prcessing Time)) (1/2) = B / (20+(B*1)) 20+B = 2B (cross multiplying) B=20 parts Hence, option c. At least 15 parts but less than 25 parts holds correct

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

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