A typical 24-hour activity of a mobile crusher plant is shown. The utilization, in %, of the plant is ______. (round off up to 2 decimals)

Steps to Solve

1. Identify Total Operating Hours The total operating hours in a day is 24 hours.

2. Extract Working Hours From the chart, the working hours are shown in black.

• Working hours observed from the chart are from:
  • 0-6 hours (6 hours of idle)
  • 6-7 hours (1 hour of breakdown)
  • 7-8 hours (1 hour of scheduled maintenance)
  • 8-9 hours (1 hour of working)
  • 9-16 hours (7 hours of working)
  • 16-19 hours (3 hours of scheduled maintenance)
  • 19-20 hours (1 hour of working)
  • 20-24 hours (4 hours of idle)

Adding up the black sections gives us a total of 8 hours of working.

3. Calculate Utilization Percentage Utilization percentage is calculated using the formula:

$$ \text{Utilization Percentage} = \left(\frac{\text{Working Hours}}{\text{Total Operating Hours}}\right) \times 100 $$

Substituting the values:

$$ \text{Utilization Percentage} = \left(\frac{8}{24}\right) \times 100 $$

4. Perform Calculation Now perform the calculation:

$$ \text{Utilization Percentage} = \left(\frac{8}{24}\right) \times 100 = \frac{100}{3} \approx 33.33 $$

5. Round Off the Result Round off the percentage to two decimal places.

Thus, our final value remains 33.33%.