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Open CalculatorAll Industrial and Systems PE Equations (15)
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Break-Even Point
Quantity where total revenue equals total costs.
basicHigh Frequency -
Control Chart Limits for X-bar
Upper and lower control limits for average chart.
intermediate -
DART Rate
OSHA incident rate for serious injuries.
basic -
Economic Order Quantity (EOQ)
Calculates the optimal order quantity to minimize inventory costs.
basicHigh Frequency -
Systematic Layout Planning (SLP) Score
Total closeness rating for layout evaluation.
intermediate -
Mean Absolute Deviation (MAD)
Measures forecast accuracy.
basic -
Learning Curve
Predicts time reduction with experience.
intermediate -
Line Balancing Efficiency
Measures how well tasks are distributed in an assembly line.
basic -
M/M/1 Queue Average Length
Average number of customers in a single-server queue.
intermediate -
NIOSH Lifting Index
Assesses risk of low-back injuries from lifting tasks.
intermediate -
PERT Expected Activity Time
Expected time in PERT networks.
basicHigh Frequency -
Process Capability Index (Cp)
Measures how well a process can produce within specification limits.
basic -
Rate of Return (ROR)
Interest rate where NPV = 0.
intermediateHigh Frequency -
System Reliability in Series
Reliability of components in series.
basic -
Work Sampling Proportion
Estimates proportion of time spent on an activity.
basic
Frequently Asked Questions
How do I use Break-Even Point on the PE exam?
Break-even analysis is fundamental in engineering economics. Watch for problems asking about production capacity decisions or minimum sales volumes. Remember that contribution margin (P - VC) must be positive for the equation to be valid.
How do I use Control Chart Limits for X-bar on the PE exam?
Remember this is for X-bar charts using standard deviation (s). If given range (R), use different factors (A2). The 3σ limits assume normal distribution. Always check if you're given individual measurements (need to calculate x̄̄ and s̄) or if they're already provided.
How do I use DART Rate on the PE exam?
DART rate is a key OSHA safety metric. Remember the 200,000 constant represents 100 full-time workers (100 × 2,000 hours/year). Only count cases involving days away from work, restricted duty, or job transfer - not just recordable injuries.
How do I use Economic Order Quantity (EOQ) on the PE exam?
EOQ appears frequently on PE exams in industrial engineering and operations problems. Remember EOQ assumes constant demand and instantaneous replenishment. Always check units - holding cost must be per unit per time period, not just per unit. The formula minimizes total inventory costs.
How do I use Systematic Layout Planning (SLP) Score on the PE exam?
Lower scores indicate better layouts. Use the standard A-E-I-O-U-X rating system with values 10-5-3-1-0-(-5). Distance should be measured between department centroids. Focus on minimizing high-rating relationships at long distances.