Jane produces custom greeting cards using six distinct work elements. She would
ID: 433438 • Letter: J
Question
Jane produces custom greeting cards using six distinct work elements. She would like to produce 10 cards in each 8-hour card-making session. The figure to the right details each work element and its associated durations in minutes as well as their precedence relationships. a. What cycle time is required to satisfy the required output rate? 48 minutes/card. (Enter your response as an integer) (17) b. What is the theoretical minimum number of workstations required? 2 stations. (Enter your response rounded up to the next whole number) c. If Jane identifies a four-station solution, what is the associated efficiency and balance delay? (Enter your responses as percentages rounded to one decimal place) (10) Efficiency: | |% Balance delay: | (20) %. (10)Explanation / Answer
Answer: - Given data
10 cards in each 8 hour card making session
(a) Cycle time for required output rate is calculated using the formula
= Total available time in minutes / Required output rate
= 8 * 60 / 10 = 480 / 10 = 48 mints/card
Cycle time = 48 mints/card
(b) Theoretical minimum number of work stations is calculated using the formula = Total sum of work elements time / Cycle time
= (10 + 10 + 20 + 17 + 7 + 5) / 48 = 69 / 48 = 1.4375 rounding to next whole number it is taken as "2"
So, theoretical minimum nuber of work stations = 2
(c) Here, jane already stated that four station solution so n = 4
Efficiency = (Total sum of work elements / n * Cycle time)*100
= (69 / 4*48)*100 = (69 / 192)*100 = 35.9%
Efficiency = 35.9%
Balance delay = 100% - 35.9% = 64.1%
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