Feed Conversion Ratio
Calculate FCR to measure livestock feed efficiency and optimize feeding programs. Enter values for instant results with step-by-step formulas.
Formula
FCR = Feed Consumed (lbs) ÷ Weight Gained (lbs)
Where FCR is the feed conversion ratio, Feed Consumed is total feed eaten over the production period, and Weight Gained is the increase in body weight. Lower FCR indicates better efficiency. Feed Efficiency is the inverse: FE = (1/FCR) × 100%.
Worked Examples
Example 1: Broiler Flock FCR Calculation
Problem:A broiler house places 25,000 chicks at 0.1 lbs each. After 42 days, 24,200 birds remain averaging 6.2 lbs. Total feed consumed was 272,500 lbs. Calculate FCR and economics with feed at $0.19/lb and sale price of $0.95/lb live weight.
Solution:Step 1: Calculate weight gain Starting weight = 25,000 × 0.1 = 2,500 lbs Final weight = 24,200 × 6.2 = 150,040 lbs Weight gain = 150,040 - 2,500 = 147,540 lbs Step 2: Calculate FCR FCR = 272,500 ÷ 147,540 = 1.847 Step 3: Calculate mortality Mortality = (25,000 - 24,200) / 25,000 × 100 = 3.2% Step 4: Economics Feed cost = 272,500 × $0.19 = $51,775 Revenue = 150,040 × $0.95 = $142,538 Profit = $142,538 - $51,775 = $90,763 Step 5: Per-bird metrics Feed cost per lb gain = $0.19 × 1.847 = $0.35/lb Profit per bird = $90,763 / 24,200 = $3.75
Result:FCR: 1.85 | Rating: Average | Profit: $90,763 | $3.75/bird | Feed cost: $0.35/lb gain
Example 2: Pig Finishing FCR Analysis
Problem:A pig finisher receives 500 pigs at 50 lbs and finishes them at 280 lbs. Mortality is 2%, and total feed consumption is 325,000 lbs. Feed costs $0.14/lb. Compare to industry targets.
Solution:Step 1: Calculate surviving pigs Surviving = 500 × (1 - 0.02) = 490 pigs Step 2: Calculate weight gain Gain per pig = 280 - 50 = 230 lbs Total gain = 490 × 230 = 112,700 lbs Step 3: Calculate FCR FCR = 325,000 ÷ 112,700 = 2.88 Step 4: Compare to benchmarks Target FCR: 2.6 (your FCR is 0.28 higher) Extra feed used = 112,700 × 0.28 = 31,556 lbs Extra cost = 31,556 × $0.14 = $4,418 Step 5: Economic impact Actual feed cost = 325,000 × $0.14 = $45,500 If at target FCR: 112,700 × 2.6 × $0.14 = $41,022 Opportunity cost = $4,478 Step 6: Analysis FCR of 2.88 is 'Good' but not optimal. Investigate: feed quality, health issues, environment.
Result:FCR: 2.88 | Rating: Good | Could save $4,478 by achieving target FCR of 2.6
Example 3: Aquaculture Tilapia FCR
Problem:A tilapia pond stocks 10,000 fingerlings at 20g each. After 6 months, 9,200 fish are harvested at 600g average. Feed consumed totals 4,800 kg at $0.50/lb. Calculate FCR.
Solution:Step 1: Convert units Initial weight = 10,000 × 20g = 200,000g = 200 kg = 440 lbs Final weight = 9,200 × 600g = 5,520,000g = 5,520 kg = 12,166 lbs Feed = 4,800 kg = 10,582 lbs Step 2: Calculate weight gain Gain = 12,166 - 440 = 11,726 lbs Step 3: Calculate FCR FCR = 10,582 ÷ 11,726 = 0.90 kg feed/kg gain In same units: FCR = 0.90 (using kg/kg is standard in aquaculture) Step 4: Evaluate performance Tilapia target FCR: 1.4 Your FCR: 0.90 — This seems too good. Step 5: Check calculations Possible issues: Natural food in pond supplements feed, measurement errors, unit confusion. If fish got natural food, true FCR would be higher. Pond culture typically has FCR 1.4-1.8 with supplemental feeding. Note: Always verify unusually good FCRs.
Result:Calculated FCR: 0.90 (verify - may indicate natural food contribution) | Target: 1.4-1.6
Frequently Asked Questions
What is Feed Conversion Ratio (FCR)?
Feed Conversion Ratio measures the efficiency of converting feed into body weight gain. FCR = Feed Consumed ÷ Weight Gained. A lower FCR is better—it means less feed is needed per unit of gain. For example, an FCR of 1.8 means 1.8 pounds of feed produces 1 pound of weight gain. FCR is the most important efficiency metric in animal production.
What factors affect FCR?
Key factors include: Genetics (bred for efficiency), Feed quality (energy, protein content, digestibility), Animal health (disease reduces efficiency), Environmental conditions (temperature stress increases maintenance needs), Water quality and availability, Feed form (pellets vs mash), Age and weight (FCR worsens as animals mature), Management (stocking density, lighting programs). Optimizing all factors can improve FCR by 15-25%.
What is Feed Efficiency and how does it relate to FCR?
Feed Efficiency (FE) is the inverse of FCR: FE = Weight Gain ÷ Feed Consumed, usually expressed as percentage. FE of 55% means 55 lbs gain per 100 lbs feed. Relationship: FE% = (1/FCR) × 100. FCR of 1.8 = 55.6% FE. Some prefer FE because higher is better (more intuitive), while FCR is the industry standard.
How does temperature affect FCR?
Animals in thermal stress eat less and use more energy for temperature regulation. Heat stress: Reduced feed intake, increased maintenance, higher mortality. Cold stress: Increased feed intake, more energy to maintenance, slower growth. Optimal temperature varies by species and age. For broilers, FCR worsens about 0.02 for every 1°F above thermal comfort zone.
How does feed form affect FCR?
Pellets typically improve FCR 5-10% versus mash because: Less feed wastage, Faster eating (more time for growth), Better nutrient availability from processing. Crumbles (broken pellets) are intermediate. Pellet quality matters—fines (dust) reduce the benefit. The cost of pelleting must be offset by FCR improvement.
What is the economic impact of FCR improvement?
FCR improvement is highly valuable. Example: 100,000 broilers, 6 lbs finishing weight, $0.20/lb feed. At FCR 1.85: Feed cost = 100,000 × 6 × 1.85 × $0.20 = $222,000. At FCR 1.75: Feed cost = 100,000 × 6 × 1.75 × $0.20 = $210,000. Savings: $12,000 per flock. A 0.01 FCR improvement ≈ $0.01/bird at typical feed prices.
How do genetics influence FCR?
Genetics account for 40-60% of FCR variation. Modern breeds have been intensely selected for feed efficiency. Broiler FCR has improved ~0.02 points per year over 50 years. Genetic companies provide breed-specific FCR targets. Within breeds, FCR heritability is 0.3-0.5, meaning selection works. However, management must support genetic potential—poor conditions waste genetic advantage.
How do significant figures affect unit conversions?
Your converted result should have the same number of significant figures as your original measurement. If you measure 5.2 inches (2 significant figures), converting to centimeters gives 13 cm, not 13.208 cm. Using excessive decimal places implies false precision.
What are the most common unit conversion mistakes?
Common errors include confusing fluid ounces with weight ounces, mixing up miles and nautical miles, forgetting that UK and US gallons differ (UK is 20% larger), using the wrong temperature formula, and not accounting for the difference between troy and avoirdupois ounces.
How precise should my unit conversions be?
Match precision to your application. Cooking tolerates rough conversions (1 cup is about 240 mL). Engineering may need 4-6 decimal places. Scientific work requires exact conversion factors and proper significant figure handling. More precision than your measurement accuracy is meaningless.