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Chapter 2: Q.11-70Q (page 288)

Question: At the Children鈥檚 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 the hospital for two days on average.

a. How many new mothers, on average, are staying at the Children鈥檚 Hospital?

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

c. The directors of the two hospitals are negotiating to unify 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.

Short Answer

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Answer

An average is a single number that represents a collection of numbers, often the sum of the numbers divided by the number of numbers in the collection.

Step by step solution

01

(a) Number of new mothers, on average are staying at the children's hospital is

Here it is given that throughput rate (TR) =60/week

And throughput time (TT) = 2/7 weeks Using the given formula calculate WIP, where WIP is the number of new mothers, on average are staying at the children's hospital

Throughputtime=WIPTR奥滨笔=罢丑谤辞耻驳丑辫耻迟谤补迟别脳罢丑谤辞耻驳丑辫耻迟迟颈尘别=6027=17.1

Average there are 17.1 new mothers in the Children's Hospital.

02

(b) Number of new mothers, on average are staying at the Swedish hospital is

Here it is given that throughput rate (TR) =210/week

And throughput time (TT) = 2/7 weeks Using the given formula calculate WIP, where WIP is the number of new mothers, on average are staying at the Swedish hospital

Throughputtime=WIPTR奥滨笔=罢丑谤辞耻驳丑辫耻迟谤补迟别脳罢丑谤辞耻驳丑辫耻迟迟颈尘别=21027=60

Average there are 60 new mothers in the Swedish Hospital.

03

(c) Number of new mothers, on average are staying at the Unified hospital is

Here it is given that throughput rate (TR) =(210 +60) = 270/week

And throughput time (TT) = 2/7 weeks

Using the given formula calculates WIP, where WIP is a number of new mothers, on average are staying at the Unified hospital.

Throughputtime=WIPTR奥滨笔=罢丑谤辞耻驳丑辫耻迟谤补迟别脳罢丑谤辞耻驳丑辫耻迟迟颈尘别=27027=77.1

As a result, the Unified Hospital will see an average of 77.1 new moms per year.

It will have no effect on the overall number of moms admitted to the hospital.

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