HOS-CULI27-04 · Lesson 2 · 8.5 clock hours · theory
Cold-Kitchen Math: Yield, Scaling, and Recipe Costing
Objective. Students calculate yield percentage, EP/AP weights, batch conversions, and per-portion cost for garde manger recipes with ≥ 90% arithmetic accuracy.
⚠ Pending professional review
This lesson, its worked examples and its practice questions has not yet been verified by a certified food-safety manager and industry professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.
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Why Cold-Kitchen Math Matters
The garde manger station produces high-value, labor-intensive items — charcuterie, terrines, composed salads, canapé trays — where waste and portion errors directly reduce profit. A terrine made from whole duck legs or a prosciutto-based appetizer starts with a raw, untrimmed ingredient that weighs more than what you actually serve. If you price a dish using the raw (unprepared) weight instead of the trimmed (prepared) weight, you will underprice every portion and lose money on every sale. Cold-kitchen math gives you the tools to price honestly and scale accurately.
Key Concepts: AP Weight, EP Weight, and Yield Percentage
AP weight (As-Purchased weight) is the weight of an ingredient exactly as it arrives from the supplier — skin, bones, fat cap, rind, and all.
EP weight (Edible Portion weight) is what remains after trimming, deboning, peeling, or any preparation step that removes unusable material.
Yield percentage expresses EP as a fraction of AP:
```
Yield % = (EP Weight ÷ AP Weight) × 100
```
For example, if a whole prosciutto leg arrives at 16 lb AP and yields 11.2 lb of usable meat after removing the bone and rind, the yield percentage is (11.2 ÷ 16) × 100 = 70%.
Yield percentage is a property of the ingredient and the skill of the person trimming it. Published tables (such as those in Math for the Professional Kitchen by Dreesen et al.) give reference values, but your own kitchen's yield data — measured on your equipment, with your products — is the most reliable guide.
Using Yield Percentage to Find the True Cost
Once you know yield percentage, you can calculate the EP cost per pound (or per ounce), which is what you actually pay for usable product:
```
EP Cost per unit = AP Cost per unit ÷ Yield %
```
If prosciutto costs $14.00/lb AP and yields 70%, the EP cost is $14.00 ÷ 0.70 = $20.00/lb. This is the number you must use when costing a recipe, because the bone and rind you threw away still cost you money.
Scaling Recipes: The Conversion Factor
Guarde manger recipes are frequently scaled up for banquets or down for plated tasting menus. The conversion factor (CF) adjusts every ingredient at once:
```
CF = Desired Yield ÷ Original Recipe Yield
```
Multiply every ingredient quantity in the original recipe by the CF to get the new quantity. Check that your equipment (molds, roasting pans, slicing machines) can handle the new batch size — this is both a quality and a safety consideration. Overloading a commercial slicer or a tilting skillet beyond its rated capacity creates injury risk.
Building a Recipe Cost Card
A recipe cost card documents every ingredient, its EP quantity, its EP unit cost, and the extended cost (EP quantity × EP unit cost). Summing the extended costs gives the total recipe cost. Dividing by the number of portions gives cost per portion:
```
Cost per portion = Total Recipe Cost ÷ Number of Portions
```
Most operations then apply a food-cost percentage target (set by management) to determine a selling price, but calculating the cost per portion accurately is the essential first step.
Practical Tips for the Cold Kitchen
- Weigh everything on a calibrated digital scale. Volumetric measures for expensive charcuterie ingredients introduce error. Zero (tare) the scale with the container before adding the ingredient.
- Record trim weight, not just EP weight. Trim weight = AP weight − EP weight. Tracking trim helps you identify inconsistency between cooks or between product lots.
- Convert units carefully. Suppliers often price in pounds; recipes may call for ounces or grams. Confirm your unit before multiplying. A factor-of-16 error on an expensive product (e.g., confusing ounces and pounds for truffles or saffron) causes a serious financial loss.
- Date and label all prepped items. Garde manger prep is done in advance; proper labeling is required by most health codes and is foundational to ServSafe principles.
Safety in the Weighing and Prep Area
- Keep scale surfaces dry. Liquids near electrical scales create shock hazard.
- When using a commercial slicer to produce charcuterie for yield testing, always use the cut-resistant glove on the hand holding the product, keep the guard in place, and follow your facility's lockout/tagout procedure before cleaning the blade.
- Wash and sanitize surfaces between raw and ready-to-eat products. Cold-kitchen items are typically served without a final kill step, so cross-contamination risk is high — a core ServSafe principle.
Connecting to Your Credentials
ACF Certified Culinarian candidates are expected to demonstrate competence in recipe costing, yield analysis, and quantity cookery math. ServSafe principles underpin the labeling, storage, and cross-contamination rules that run alongside every cold-kitchen prep task. Accuracy in both areas defines a professional culinarian.
Key terms8
AP Weight (As-Purchased Weight)The weight of an ingredient as received from the supplier, before any trimming, peeling, or fabrication.
EP Weight (Edible Portion Weight)The usable weight of an ingredient remaining after all preparation steps that remove inedible or unusable material.
Yield PercentageThe ratio of EP weight to AP weight, expressed as a percentage; shows how much of a purchased ingredient is actually usable.
EP Cost per UnitThe true cost of one unit of usable ingredient, calculated by dividing the AP cost per unit by the yield percentage expressed as a decimal.
Conversion Factor (CF)A multiplier used to scale a recipe; calculated by dividing the desired yield by the original recipe yield.
Recipe Cost CardA formatted document listing each ingredient, its EP quantity, EP unit cost, and extended cost, leading to total recipe cost and cost per portion.
Cost per PortionThe ingredient cost attributable to one serving, calculated by dividing total recipe cost by the number of portions the recipe produces.
Trim WeightThe weight of material removed during fabrication; equal to AP weight minus EP weight. Tracking trim reveals waste and inconsistency.
Worked examples4
1. A whole prosciutto leg has an AP weight of 16 lb and yields 11.2 lb of usable meat after boning and trimming. What is the yield percentage?
- Identify AP weight: 16 lb
- Identify EP weight: 11.2 lb
- Apply formula: Yield % = (EP ÷ AP) × 100
- Yield % = (11.2 ÷ 16) × 100
- Yield % = 0.70 × 100 = 70%
Answer: Yield percentage = 70%
2. The prosciutto leg costs $14.00 per pound AP. Using the 70% yield from the previous example, what is the EP cost per pound?
- Identify AP cost per lb: $14.00
- Identify yield percentage as a decimal: 0.70
- Apply formula: EP Cost per lb = AP Cost per lb ÷ Yield %
- EP Cost per lb = $14.00 ÷ 0.70
- EP Cost per lb = $20.00
Answer: EP cost per pound = $20.00
3. A composed-salad recipe originally yields 25 portions. You need to produce 60 portions for a banquet. The original recipe calls for 3.5 lb of baby arugula (EP). What quantity of arugula is needed for the new batch?
- Calculate conversion factor: CF = Desired Yield ÷ Original Yield = 60 ÷ 25 = 2.4
- Multiply original ingredient quantity by CF: 3.5 lb × 2.4
- New quantity = 8.4 lb of arugula
Answer: 8.4 lb of baby arugula (EP)
4. A canapé tray recipe produces 48 pieces. The total EP ingredient costs are: smoked salmon $18.40, cream cheese spread $3.60, cucumber slices $1.20, blini $4.80. What is the total recipe cost and the cost per canapé?
- Sum all ingredient costs: $18.40 + $3.60 + $1.20 + $4.80 = $28.00
- Total recipe cost = $28.00
- Apply formula: Cost per portion = Total Recipe Cost ÷ Number of Portions
- Cost per canapé = $28.00 ÷ 48 = $0.5833…
- Round to nearest cent: $0.58 per canapé
Answer: Total recipe cost = $28.00; cost per canapé = $0.58
The math in this lesson1
Learners divide 11.2 lb EP by 16 lb AP for 70% prosciutto yield and adjust cost per pound.
7.RP.3
In class: Instructor demonstration of yield-percentage calculation using a whole prosciutto leg; students weigh AP and EP samples, record data, and compute yield percentage on a structured worksheet. · Paired practice: students receive four raw garde manger recipes and convert each to a different batch size, showing all conversion factors and adjusted ingredient weights. · Individual costing exercise using a provided price list; students calculate total recipe cost and per-portion cost for a composed salad, a terrine, and a canapé tray and enter results in a formatted recipe card.
Materials: Digital portion scale, calculator, Excel or Google Sheets template, price list handout, blank recipe card forms, culinary math reference (e.g., Math for the Professional Kitchen, Dreesen et al.)
Check: Score ≥ 90% on a 15-problem math quiz covering yield percentage, batch conversion, and per-portion costing; any error that would cause a food-safety or financial loss greater than 10% triggers a mandatory retake.
Practice check8
Answer each question, then check it. Nothing is recorded; this is your own practice.
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