Math  /  Data & Statistics

QuestionWhat is the percent utilization for Customer E?
Customer Service Calls \begin{tabular}{|l|c|c|c|c|c|} \hline Customer & A & B & C & D & E \\ \hline Time, in hours & 2 & 3 & 1 & 1.5 & 2.5 \\ \hline \end{tabular} \square Enter

Studdy Solution

STEP 1

What is this asking? Out of the total customer service call time, what percentage of that time was spent on Customer E? Watch out! Don't forget to calculate the *total* time spent across *all* customers first!

STEP 2

1. Calculate Total Time
2. Calculate E's Percentage

STEP 3

Alright, first, we need to find the total time spent on customer service calls.
This is super important because we need to know the whole before we can figure out the percentage of a part!

STEP 4

Let's **add** the times for each customer: 2+3+1+1.5+2.52 + 3 + 1 + 1.5 + 2.5.

STEP 5

Adding the first two, we get 2+3=52 + 3 = 5.
Adding the next one gives us 5+1=65 + 1 = 6.
Adding the next one gives us 6+1.5=7.56 + 1.5 = 7.5.
Finally, adding the last one gives us 7.5+2.5=107.5 + 2.5 = 10.
So, the **total time** is 1010 hours!

STEP 6

Now, we want to find what percentage of the total time was spent on Customer E.
Remember, Customer E took 2.52.5 hours.

STEP 7

To calculate the percentage, we'll **divide** Customer E's time (2.52.5 hours) by the **total time** (1010 hours) and then **multiply** by 100100.
This is because "percent" means "out of one hundred"!

STEP 8

So, the calculation looks like this: 2.510100\frac{2.5}{10} \cdot 100.

STEP 9

Let's simplify the fraction first.
We can multiply the numerator and denominator by 1010 to get rid of the decimal: 2.5101010=25100\frac{2.5 \cdot 10}{10 \cdot 10} = \frac{25}{100}.
Now, we multiply by 100100: 25100100\frac{25}{100} \cdot 100.

STEP 10

Since 100100=1\frac{100}{100} = 1, we can simplify the expression to 251=2525 \cdot 1 = 25.
So, Customer E used 25%25\% of the total customer service call time.
Boom!

STEP 11

Customer E's percent utilization is 25%25\%.

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