At the Children’s 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 (also in Seattle), the average number of births per week is 210, Mothers and children stay in hospital two days, on average. Required:
a. How many new mothers, on average, are staying at the Children's 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.