Question

Two-step Process Utilization: A two- used to finish a product: painting and drying. There are 5 workers and each one takes an average of 60 minutes to paint each unit. Drying takes place in an oven that can hold up to 100 units and it takes 5 minutes to load each unit. Once all the units are loaded into the oven, it takes 6 hours to dry each load. Assume that the process is capacity constrained (so the demand rate is higher than capacity and the bottleneck station will be 100% utilized). What fraction of time is the oven being loaded if C&A uses a batch size of 100 and demand is unlimited? Notes: This can be a difficult question. You can be proud if you get it right and it is OK if you don't! To answer this question, first calculate the capacity of each step in units per hour. with batch-size has a setup timeatch size a this L ot ca to he confused hy v ng what is h eing 100 or y0 or some n and what vou think i narine bu Seru a need to identify carefully here . But. in this The dry calculate processing time is the entity whose time changes with batch size; what does not change with batch size is the setup time. [If you are confused, please review the Haunted Manor, Kings Island FearFest example in the materials Process Interruptions and Batching Module 2. Once you know the capacity of cach step, you can determine which step is the bottleneck. That bottleneck step will govern the flow rate. One way to calculate the fraction of time the oven is being loaded is to find the number of minutes spent loading per hour divided by batch production cycle length; a third way is to compute the oven utilization. These are just three different ways of thinking of the question and will all lead to the same correct answer. minutes in an hour second way is the calculate load time per batch O A. 58% . 42% , 20% OD. 26

Answer 1

The process is two-step process, so the output per hour from the step 1 (painting) will be input per hour for the next step- loading oven.

First determine output per hour (capacity) of painting step.

Capacity = (number of resource persons)x(60 mins. per hour/minutes per unit)

Capacity of painting = 5 x (60 / 60 mins. Per unit) = 5 x 1 unit per hour = 5 units per hour

Thus, input to the oven is 5 Units per hour, only 5 units will be loaded per hour in oven

Loading time per unit = 5 mins

Loading time per hour = input per hour x loading time per unit = 5 units per hour x 5 mins per unit = 25 minutes per hour

Fraction of time the oven is loaded = time spent in loading per hour / 60 mins. per hour = 0.4166

Or percentage of time the oven is loaded = 42%

Ans: 42%