Math Problem Statement

What is the percent utilization for Customer C?

Solution

To find the percent utilization for Customer C, we need to calculate the ratio of the time spent on Customer C to the total time spent on all customers, then express that ratio as a percentage.

Given data (from the table):

  • Time spent on Customer A: 2 hours
  • Time spent on Customer B: 0.5 hours
  • Time spent on Customer C: 0.5 hours
  • Time spent on Customer D: 1 hour
  • Time spent on Customer E: 1 hour

Steps:

  1. Total time spent on all customers: 2+0.5+0.5+1+1=5 hours2 + 0.5 + 0.5 + 1 + 1 = 5 \text{ hours}

  2. Percent utilization for Customer C: Utilization for Customer C=(0.55)×100=10%\text{Utilization for Customer C} = \left( \frac{0.5}{5} \right) \times 100 = 10\%

Thus, the percent utilization for Customer C is 10%.

Would you like further details or clarification?


Here are five follow-up questions:

  1. How do you calculate percent utilization for any customer in general?
  2. How would the utilization change if the time spent on Customer C increased to 1 hour?
  3. Why is it important to track percent utilization in customer service?
  4. Can the sum of the percent utilizations for all customers exceed 100%?
  5. How would the calculation change if the total time available were fixed, say at 8 hours?

Tip: Always double-check your total time spent when calculating utilization to avoid any errors.

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Math Problem Analysis

Mathematical Concepts

Percentage
Ratios

Formulas

Percent utilization = (time spent on specific customer / total time spent on all customers) × 100

Theorems

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Suitable Grade Level

Grades 6-8