Individual Quantitative Literacy Case Study 2022

Running Head: INDIVIDUAL QUANTITATIVE LITERACY
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Individual Quantitative Literacy Case Study
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Institution
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INDIVIDUAL QUANTITATIVE LITERACY 2
Individual Quantitative Literacy: Case Study
Queries pertaining mathematics, physics, and engineering need a lot of evaluations,
analysis, and calculations. In most instances, there are queries that do not have distinctive figures
and numerical to allow for the processes of evaluation, calculation, or analysis (Cheuk et al.,
2016). These are the cases where estimation comes in. estimation comes in the instances where
there is need to solve impossible queries or the difficult ones that most of the times carry the
infinite aspects. These are what we call as the Fermi queries and may include problems involving
populations, molecules, and many other aspects (Moore, 2016). The answers to these questions
are therefore analyzed and calculated through estimation to give a margin that represents the
correct answer (Prince & Simpson, 2016). The significance associate with these queries is that
they help students think critically, evaluate their understanding, and also interpret most of the
difficult situations they come across.
Task 1
Working hours 8 hours
Number of employees 12
Charges $40 for hand washing $10 for
vacuumed washing
Time 20 minutes for hand washing
10 minutes for vacuumed washing
The above case represents a businessman with two businesses. Just like in estimation
process, most of the calculations that can be analyzed from this case are based on assumptions
and numerical estimations.
Maximum gross revenue of the business operating all bays continuously in a 48 hour
period

INDIVIDUAL QUANTITATIVE LITERACY 3
From the information it is clear that the car wash has a total of four hand wash bays while
the vacuum bays are two. The case assumes that the operation that we are working with will take
48 hours. With 48 hours, it means that these are 2880 minutes of working given that the workers
work continuously. The employees are divided into two people for each bay for the sake of these
tasks. For each hand wash, a car will be serviced in ten minutes which also shows that in the
given minutes, each of the business hand bay will service 144 cars. Since the businessman has 4
bays, there will be a total of 1152 cars serviced due to the presence of two employees at each
bay.
In the vacuum bay, a car is serviced for ten minutes. In the operating 48 hours, it means
that 1152 cars will be done. When it comes to the charges, the businessman has placed a tag of
$40 for each car. This means that in the 48 hours, he will get revenue of $46080 when we work
with 1152 hours. When we get to the vacuum, $10 is charged for a car which means it will total
to $11520. This totally gives gross revenue of $57600.
Maximum gross revenue of the business operating with employee breaks included and all
bays active only 75% of the 48 hour period
When the bays operate at 75% efficiency rather than 100%, it means that they will be
working for 36 hours. On the same note, we are told that each employee gets a break of 1 hour in
every 8 hours. They then get 4 hours rest time which we are going to assume that they get after
the 8 hours. What this means is that each employee gets to work for 32 hours. This gives a total
of 1920 minutes. In this case, each bay service 96 cars in the hand wash while in the vacuum,
192 are done. This represents the number for each employee. For the 12 employees, two of them
will work per bay. This means that in the hand wash, 192 cars will be done while in the vacuum,
384 will be done. This then gives revenue of $7680 for the hand wash and $3840 for the vacuum.
In total, this is gross revenue of $11520.