PLEASE USE EXEL EXPLAIN AND SHOW EVERY FORMULA USED 4. Consider a four-step seri

Question

PLEASE USE EXEL EXPLAIN AND SHOW EVERY FORMULA USED

4. Consider a four-step serial process with processing times given in the list below. There is one machine at each step of the process, and this is a machine-paced process. Assume demand is unlimited. (Use two decimals for your answer) 1. Step 1 35 minutes per unit 2. Step 2: 20 minutes per unit 3. Step 3: 30 minutes per unit 4. Step 4: 38 minutes per unit a. What is the bottleneck of the process? (Click to select) b. What is the utilization of Step 2 percent c. Assuming that the process starts out empty, how long (in hours) will it take to complete a batch of 110 units? hours

Explanation / Answer

a) bottleneck of the project is one which takes highest processing time: in this case step 4 takes highest highest time of 38 minutes

Hence step 4 is the bottle neck.

b)

since step 4 is the bottleneck, the capacity of the system is also decided by step 4.

step 4 can produce x units in 1 hour: x = 60/38 = 1.58 units

step 2 can produce y units in 1 hour: y = 60/20 = 3 units

but since the capacity of the system is 1.58 units per hour.

utilization of step 2 = 1.58/3 = 0.5263 = 52.63%

c)

1 unit is produced in 38 minutes according to the bottleneck:

hence 110 units take = 38*110 = 4180 minutes = 4180/60 = 69.67 hours

it takes 69.67 hours to produce 110 units

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