PA 7-9 In their Portland, Oregon facility... In their Portland, Oregon facility,
ID: 384133 • Letter: P
Question
PA 7-9 In their Portland, Oregon facility... In their Portland, Oregon facility, Wavy Wood Works makes several types of wood bowls from coastal drift wood. To make a bowl the first step is to clean the drift wood. Each piece of drift wood makes a single bowl. There is one cleaning machine. It takes 38 seconds to load each piece of wood and the machine can hold up to 32 pieces. Once all of the pieces are loaded into the machine it takes 45 minutes to clean the set (no matter the number of pieces in the set). Once the wood is cleaned, 11 skilled artisans carve the bowls, each one takes on average 95 minutes to produce each bowl. After carving, bowls are finished with a stain. It takes 30 seconds to load each bowl into the stain machine. The staining machine holds up to 33 bowls. Once all of the bowls are loaded they are soaked for 79 minutes. After staining, bowls are unloaded onto drying racks. There is plenty of space on the drying racks What is the maximum capacity (bowls per hour) of this process? (Do not round intermediate calculations. Round to 2 decimal places.) bowls per hour Suppose Wavy wants to operate with the same number of bowls in each batch that is cleaned or stained. For example, if they clean in batches of 30, then they stain in batches of 30 as well. What batch size (in bowls) minimizes their inventory while allowing the process to produce at the maximum flow rate? (Use unrounded capacities from Part a. Round to 2 decimal places.) bowls per batchExplanation / Answer
A.
Consider the below information
All the activities are arranged in sequence. The time taken by each activity for the number of units is shown below
Explanation:
First activity is laoding the peices on wood in cleaning machine.
Time taken for loading a peice of wood is 38 seconds. Machine can hold up to 32 peices. So for loading 32 peices, the total time taken = 32*38 = 1216 seconds. So the total time taken in minutes = 1216/60 = 20.27 minutes.
so time taken by one wood to be loaded = 20.27/32 = 0.63 minutes.
The cleaning machine takes 45 minutes to clean all the set of 32 peices. So the total time taken to clean one peice = 45/32= 1.41 minutes.
11 skilled artisans carving 11 bowls in 95 minutes. So time taken to carve each bowl = 95/11=8.64 . Please note the time taken for each bowl is 95 . But we need to take an average when the number of units in each activity are differing .
Loading the bowl in staing machine will take 30 seconds. Staining machine can hold up to 33 bowls. So loading all 33 units will take = 30*33= 990 seconds. Time taken in minutes = 990/60=16.5. The time per unit = 16.5/33=0.50
The staining activity takes 79 minutes to stain 33 units. So time per unit = 79/33 =2.39
The totaling all the per unit time = 13.57 minutes is nothing but the time taken to produce one unit in the process. So the number of units produced = 60/13.57 =4.421
B.
The number units of staining and cleaning are same . The same process is repeated from answer a.
Below is the table
The time taken to produce a unit in the process = 13.98 units.
The number of bowls in the per hour = 60/13.98 =4.29
SR Activity Time in Seconds Time in Minutes Number of Units in activity time per unit per minute 1 Loading in to cleaning machine 1216 20.27 32 0.63 2 Cleaning the set 45 32 1.41 3 Carve the bowls 95 11 8.64 4 Loading in to stain machine 990 16.5 33 0.50 5 Staining 79 33 2.39 TOTAL TIME 13.57Related Questions
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