This is a question from Case-in-point:
Capacity is 12,000 pairs of flip-flops a month. Capacity equals 2 shifts a day, five days a week. Given a normal eight hour shift, what is the maximum production per shift?
The case in point explanation is "12,000 pairs a month/2 shifts a day=6,000 pairs per month. 6,000 pairs/20 work days in month=300 flip-flops per shift"
I initially did it my way, which was way more complex and arrived at the same answer. However, I think this solution is much simpler. I feel incredibly stupid for asking this, but for some reason I just can't wrap my head around it. How could you divide 12,000 pairs a month by 2 shifts per day? Anyone care to explain? Many thanks.
Clearly, you're not thinking about the "units" given in the problem correctly (note: "per" is the same as "/"):
Capacity = 2 shifts per day * 20 days per month = 40 shifts per month
Capacity = 40 shifts per month
Capacity = 12,000 pairs of flip flops per month
So, to determine the "pairs of flip flops per shift" you must solve:
12,000 pairs of flip flops per month = 40 shifts per month * X pairs of flip flops per shift
12,000 pairs of flip flops per month / 40 shifts per month = X pairs of flip flops per shift
X = 300 flip flops per shift
Just out of curiosity, how exactly did you arrive at the right answer in a more "complex" fashion?
Mike, thanks a ton. Your way makes a lot more sense. But how is it that you can divide 12,000 flip-flops/month by 2 shifts/day (month/day)? Wouldn't you the units need to match so you would need to do the calculations like you did month divided by month (month/month)?
The way I did it involved some prior information given in the case. It said that 1 shift=8 hours long. So I essentially converted everything into hours..
2 shifts=16 hours, 16 hours x 5 days= 80 hrs/week. 80 hrs/week x 4= 320 hrs/month.
12,000 flip-flops/320=37.5 flip flops made each hour. Since each shift is 8 hours long, 37.5 x 8= 300 flip flops/shift.
Maybe I'm overthinking this, but its so frustrating!
The 8 hour normal shift is irrelevant to the question. Why would you need to know anything about a shift in order to figure out its capacity given the number of shifts per day, days per month, and capacity per month.
Its like asking what the foreman's middle name is... not useful.
Et quis ea doloremque delectus sunt accusamus. Libero natus et sequi tenetur ea. Ipsum enim id accusamus. Sed sint delectus et et quibusdam exercitationem.
Tempore reprehenderit ut et harum quia praesentium. Quasi repellat nulla quas accusamus ipsa. Sunt rerum molestias sapiente quam dolorem natus sit. Ipsam perspiciatis eveniet consequatur sequi. Error libero non omnis aut sunt suscipit.
See All Comments - 100% Free
WSO depends on everyone being able to pitch in when they know something. Unlock with your email and get bonus: 6 financial modeling lessons free ($199 value)
or Unlock with your social account...
Quis nihil voluptatem dicta repudiandae illum recusandae. Et odio reprehenderit et cum quia. Dolores vel est excepturi voluptas aut. Odio voluptates dolorem repudiandae amet. Molestiae sunt ratione et rerum fugiat deserunt quaerat.
Vel qui sit quidem. Ipsa voluptate sed quisquam commodi quae eum voluptas. Quia reiciendis explicabo et et consequatur.
Asperiores sed aperiam ratione. Enim voluptatem autem rerum non recusandae repudiandae distinctio veritatis. Placeat aut beatae quo labore facilis ut est animi. Sit esse nisi voluptatem cumque unde quaerat aliquid. Nihil quia consequatur accusamus reprehenderit corrupti consequatur blanditiis. Saepe debitis blanditiis facere ut. Non aut neque similique id debitis temporibus.