Problem 1 Littles law application In Childrens Hospital in S

Problem 1: Little’s law application

In Children’s Hospital in Seattle there) are on average 17*7 (your ID times 7) births per week (assuming 7 days per week). Mothers and babies stay, on average, two days before they leave the hospital. In Swedish hospital (also in Seattle), the average number of births per week is 35. Mothers and children stay in the hospital two days on average.

a. How many new mothers are staying in Children’s Hospital (at any time point)?

b. How many new mothers are staying in Swedish Hospital (at any time point)?

c. The directors of the two hospitals are negotiating unifying the children 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 hospital. 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 lengths of stay of the new mothers will not change.

Note From Professor: Only providing the final answers is NOT acceptable and will get 0%. If necessary, please use a separate sheet of paper to show your work. Please Show All Work...Thanks in advance!

Solution

a).In seattle hospital there are 17 births per week on an average.hence there is a chance of 17 mothers stays in the ward on an average.every mother with newly born childs will stay two days before they leave hence 3 times the no of births per week will indicate the number of mothers staying in wards.

b).In Swedish hospital there are 35 births per week on an average.hence there is a chance of 35 mothers stays in the ward on an average.every mother with newly born childs will stay two days before they leave hence 2 times the no of births per week will indicate the number of mothers staying in wards.

c).Yes they are right by unifying the wards of both the hospitals they can reduce the number of new mothers staying in hospitals.unified wards consists of ((17*7)+35) births per week and 154 mothers will stay two days before they leave the hospital on an average.