Microsoft Word - Solutions_to_Midterm_Review_Questions_Spring_2008

Microsoft Word- - FAR OUT A SOLUTION(1 Assume Far Out switches paint color once per day and then cleans the robot at the end of the day What is the

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F AR O UT : A S OLUTION (1) Assume Far Out switches paint color once per day and then cleans the robot at the end of the day. What is the total number of chairs produced per day on average? With 2/3 of Rocking Chairs and 40% or Adirondack Chairs stained, the staining baths could receive up to 24 chairs per hour from the assembly lines ( 30*2/3 + 10*40%). The painting robot receives the other 16 chairs per hour on average (40 chairs total - 24 chairs to staining). Given the production schedule for the paint robot, it is running 6 hours per day and not-running 2 hours per day (either for cleaning or switching colors). Hence the paint robot can produce 120 chairs per day ( 6*20) , or 15 per hour on average (120/8). The stain baths operate for 11 hours before they must be changed (330/30). There is a 4 hour time to change the stain baths. Since 330 chairs are produced every 15 hours (11+4), on average 22 chairs are produced per hour (330/15). To summarize, the assembly lines can produce 30 Rocking Chairs per hour and 10 Adirondack Chairs per hour. Of these 40 chairs produced per hour, 24 are sent to staining and 16 are sent to painting. Staining can produce 22 chairs per hour on average, which is 2 less than it would receive from assembly if assembly worked at full speed. Painting can produce 15 chairs per hour, which is 1 less than it would receive from assembly if assembly worked at full speed. Hence, assembly must slow down a bit so that an infinite pile up of chairs is avoided. Overall, Far Out can produce 22 stained chairs per hour and 15 painted chairs per hour, for a total of 37 chairs per hour (which is 296 chairs per day) (2) Far Out believes that the staining operation is over worked. They are thinking about painting 80% of the Adirondack Chairs. If they made this change, how many chairs could they manufacture per day? Now painting receives 8 Adirondack Chairs per hour and (still) 10 Rocking Chairs per hour, for a total of 18 chairs. Staining receives 2 Adirondack Chairs per hour and 20 Rocking Chairs for a total of 22. The first question demonstrated that Far Out's maximum production rate is 15 painted chairs and 22 stained chairs. So they still produce 15+22 = 37 chairs per hour. (3) Suppose Far Out did paint 80% of their Adirondack Chairs. What is their maximum chair output per day? In achieving this maximum output, how frequently do they switch paint colors? It appears that quality considerations will not let them run bigger batches through the staining operation, so only the production rate of painting can be improved. Painting can operate at a maximum of 7 hours per day because they are required to clean the robot each night. This cleaning also allows them to switch colors for the next day. So instead of switching colors in the middle of the day they could economize on setups and switch colors at the end of day. Seven hours of production generates 140 painted chairs (7*20) which is 17.5 chairs per hour. So the max output is 17.5 painted chairs and 22 stained chairs, which is 39.5 chairs. (Note that assembly's still must slow down from its max rate of 40 chairs per hour.) T HE Y UPPIE C
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This note was uploaded on 07/21/2009 for the course BUAD 311T taught by Professor Vaitsos during the Fall '07 term at USC.

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Microsoft Word- - FAR OUT A SOLUTION(1 Assume Far Out switches paint color once per day and then cleans the robot at the end of the day What is the

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