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At the Childrens Hospital in Seattle there are, on average, 60 births per week.

ID: 464718 • Letter: A

Question

At the Childrens Hospital in Seattle there are, on average, 60 births per week. Mother and child stay, on average, two days before they leave the hospital. At the Swedish hospital, the average number of births per week is 20. Mothers and Children stay in the hospital two days on average.

a) How many new mothers, on average, are staying at the childrens hospital?

b) How many new mothers, on average, are staying at the Swedish Hospital?

c) The directors of the two hospitals are negotiating unifying the maternity wards of the two hospitals. They believe that by doing so they will be able to reduce the number of new mothers staying in the unified ward. Are they correct? How many new mothers will stay, on average in the unified ward? You may assume that the average number of births and the length of stay of the new mothers will not change.

Explanation / Answer

a.How many new mothers are staying in Childrens Hospital?

TR = 60 per weekTT = 2/7 weeksWIP = TT *TR = 60*2/7 = 120/7 = 17.1On average there are 17.1 new mothers in the Childrens hospital.

b.How many new mothers are staying in the Swedish Hospital?

TR = 210per weekTT = 2/7 weeksWIP = TT *TR = 210*2/7 = 60On average there are 60 new mothers in Swedish.

c.The directors of the two hospitals are negotiating unifying the childrenwards of the two hospitals.They believe that by doing so they will be ableto reduce the number of new mothers staying in the hospital.Are they correct?How many new mothers will stay, on average, in theunified ward?

You may assume that the average number of births and the length of stayof the new mothers will not change.TR = 270per weekTT = 2/7 weeksWIP = TT *TR = 270*2/7 = 540/7 = 77.1On average there will be 77.1 new mothers in the unified hospital.No, it willnot decrease the total number of mothers in the hospital.

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