Appetizer Per Person Calculator: Pieces by Meal Context and Duration
Calculate appetizer quantities using US catering industry standards — 4 to 6 pieces per person for a cocktail hour before dinner, up to 12 to 14 pieces for a cocktail-only reception. Adjusts for event duration, service style (passed vs. stationary), and number of varieties. Outputs total pieces, per-variety count, and 24/36/50-piece platter quantities. Free PDF shopping list.
Why Do Cocktail Hours in the US Always Run Out of Appetizers?
Anyone who has planned or attended an event with a cocktail hour has experienced the moment when the last tray goes by and a third of the guests are still waiting for their first bruschetta. The appetizer runs out 45 minutes into a 60-minute cocktail hour and the guests stand around empty-handed for the final stretch before being called to dinner. This is one of the most reliably avoidable planning failures at US events, and it traces back almost universally to applying the wrong calculation for the wrong type of event.
The core error is using a single number — “6 pieces per person” or “8 pieces per person” — without any consideration of what role the appetizers are playing in the overall event food service. Six pieces per person is appropriate for a 1-hour cocktail hour before a full plated dinner. Applied to a cocktail-only event where appetizers are the only food served for 2 hours, 6 pieces per person leaves every guest significantly under-fed and produces the embarrassing appetizer depletion that guests notice and remember. The correct quantity for a cocktail-only 2-hour reception is closer to 13 to 14 pieces per person — more than twice the pre-dinner cocktail hour standard. Using the same number for both scenarios is like calculating the water for a 5K run and applying it to a marathon.
The second error is ignoring duration. Cocktail service is a continuous consumption model, not a fixed-service model. Guests cycle through passed trays and stationary stations repeatedly over the service period. In the first 30 minutes of a cocktail hour, when guests are hungry and grazing actively, consumption rates are high — approximately 3 to 4 pieces per person per 30 minutes. As the cocktail hour extends into a second hour, hunger partially subsides (especially if drinks are being consumed), but total consumption continues to accumulate. A 2-hour pre-dinner cocktail service requires approximately 65 percent more food than a 1-hour service — not 100 percent more, because consumption slows in the second hour, but not the same amount either. This calculator applies duration multipliers that reflect actual catering experience rather than simple linear scaling.
The Passed vs. Stationary Consumption Difference
Passed appetizers — where servers circulate through the crowd carrying trays — and stationary platters at food stations produce different consumption patterns. Passed appetizers tend to generate slightly higher total consumption for a counterintuitive reason: guests who are actively offered food by a server accept it more readily than guests who must walk to a station and serve themselves. The social friction of going to a station and being seen taking food creates a minor inhibition effect; the server coming to you removes that friction entirely. In practice, this means stationary platter service consumes approximately 5 percent fewer pieces than an equivalent passed service for the same guest count and duration. This is a modest difference — not enough to radically change ordering quantities, but worth adjusting for at scale.
The mix approach — some passed items and some stationary stations — is common at US events and provides the best of both service models: passed trays ensure guests who are deep in conversation get offered food without interrupting to walk to a station, while stations allow guests to browse and revisit items they enjoy. For planning purposes, mixed service adjusts the consumption estimate to approximately the midpoint between passed and stationary.
Appetizer Quantity Formula: Pieces Per Person by Meal Context and Duration
The foundation of the US catering industry appetizer quantity standard is a rate of 3 pieces per person per 30 minutes of cocktail service. This rate was established through accumulated experience across thousands of catered events by US catering professionals and is cited in industry publications including the National Association of Catering and Events (NACE) educational materials and the American Culinary Federation (ACF) catering guidelines.
The base rate is then multiplied by two adjustments: the meal context multiplier (which accounts for whether appetizers are supplementing a full meal or replacing it) and the duration factor (which accounts for the non-linear nature of consumption over extended service periods). Together, these produce per-person piece counts across the full range of US event scenarios:
| Meal Context | 1-Hour Service | 1.5-Hour Service | 2-Hour Service |
|---|---|---|---|
| Before full dinner (cocktail hour) | 4–6 pieces | 6–8 pieces | 8–10 pieces |
| Heavy apps (light dinner replacement) | 6–9 pieces | 8–11 pieces | 11–13 pieces |
| Cocktail-only (apps = the meal) | 10–12 pieces | 12–14 pieces | 13–16 pieces |
The 12% Overage Buffer Explained
This calculator includes a 12 percent overage buffer built into every result before outputting the final piece count. The buffer serves multiple purposes: it accounts for the reality that event attendance often differs slightly from the RSVP count (both higher and lower), it provides a margin for the unequal consumption patterns of different guest demographics (younger crowds consume more, guests who arrive early eat more), and it ensures that servers never have to remove platters before the service period ends due to empty trays. A 12 percent buffer on a 500-piece order adds 60 pieces — cost-effective insurance against the very visible problem of empty trays at a cocktail hour.
The asymmetry of the failure modes is important here: having 60 extra pieces at the end of cocktail hour is a minor waste issue that no guest notices. Running out of appetizers during the cocktail hour is a visible guest experience failure that the host, the caterer, and the guests all notice immediately. The cost-benefit ratio of the overage buffer is highly favorable in almost every event scenario.
How Many Varieties for Your Event?
The number of appetizer varieties for a typical US event follows a rough rule of thumb: one variety for every 15 to 20 guests at a standard cocktail hour, with a minimum of 3 varieties for any event and a practical maximum of 6 to 8 varieties for most private events. Too few varieties (1 to 2 for 100 guests) creates crowd pressure at the limited options and fails to accommodate dietary restrictions. Too many varieties (10+ for 50 guests) creates inefficiency in kitchen preparation, reduces the number of pieces per variety to where platters are replenished constantly, and makes the catering operation difficult to manage. For a 100-guest event, 4 to 6 varieties is the standard recommendation. For a 50-guest intimate event, 3 to 4 varieties serves well. For a 200-guest event, 6 to 8 varieties allows genuine menu breadth while maintaining operational efficiency.
Variety composition guidance for US events: include at least one substantial bite (mini crab cakes, beef sliders, stuffed mushrooms — protein-forward), at least one vegetarian option clearly identified as such, at least one light option (bruschetta, caprese skewers, endive cups), and avoid having more than 50 percent of varieties include shellfish or common allergens (shellfish, tree nuts, gluten) without clearly identified allergen-free alternatives. Wedding event caterers recommend a 40 to 60 percent vegetarian variety split even for non-vegetarian events, because vegetarian appetizers like bruschetta, caprese, and cheese-based options are universally popular while also serving vegetarian and some vegan guests.
How the Appetizer Calculator Works: Context, Duration, and Variety Count
This calculator applies the US catering industry standard appetizer formula across five inputs and outputs both total pieces and the specific ordering quantities you need to communicate to your caterer.
Guest count: Total number of guests at the event who will be served appetizers. If your event has a separate VIP section or vendor area where food is not served, use only the guest count for the appetizer service area.
Meal context: The most important input. Select “cocktail hour before full dinner” if guests will proceed to a full seated dinner after the cocktail hour — this is the most common US wedding and corporate event scenario. Select “heavy appetizers as light meal” if you are serving a more substantial appetizer spread that serves as a light dinner replacement (common at casual receptions, networking events, and parties where a sit-down dinner is not planned but the appetizer quantities are heavier than a simple cocktail hour). Select “cocktail-only event” if appetizers are the only food served at the event — common at gallery openings, networking events, and cocktail receptions where no sit-down component is planned.
Duration: The total time the appetizer service will run. For a standard US wedding cocktail hour, this is 60 minutes. For a networking event or cocktail reception with no scheduled dinner, this may be 90 minutes to 2 hours. For the rare extended cocktail service of 2.5 hours or more, be aware that the duration multiplier continues to increase consumption significantly and the cocktail-only quantity at 2.5 hours approaches a full light meal equivalent.
Service style: Passed service is standard for US wedding cocktail hours; stationary stations are common for corporate and networking events. The calculator applies a minor 5 percent reduction for stationary service based on the self-serve inhibition effect described above.
Number of varieties and platter size: These inputs do not change the total piece count but divide the total appropriately for ordering. If your caterer quotes prices by the platter (a common catering model) rather than by the piece, use the platter output directly in your order. If your caterer quotes by the piece and you organize the order yourself, use the per-variety piece count to order each variety in equal quantities.
Three Real US Event Appetizer Examples: Cocktail Hour to Full Reception
Claire and Andrew’s Wedding: 120 Guests in Nashville, Tennessee
Claire and Andrew are having a 60-minute wedding cocktail hour before a full 4-course plated dinner. 120 guests, passed service, 5 varieties. Context: before full dinner (1.0× multiplier). Duration: 1 hour (1.0× factor). Using the calculator: 6 pieces/person × 120 = 720 base pieces + 12% = 806 pieces total. Per variety: 806 ÷ 5 = 161 pieces each. Platter count: 161 ÷ 36 = 4.5, rounded up to 5 platters of each variety = 25 total platters. Their Nashville caterer priced at $85 per 36-piece platter: 25 platters × $85 = $2,125 for the cocktail hour appetizer course. Varieties selected: bruschetta caprese (vegetarian), mini crab cakes, prosciutto-wrapped cantaloupe, spinach and artichoke phyllo cups (vegetarian), and beef tenderloin crostini.
Corporate Happy Hour: 80 Employees in Chicago, Illinois
A Chicago company is hosting a 2-hour networking happy hour with no dinner planned. Cocktail-only context, 80 guests, 90 minutes service, stationary platters, 4 varieties. Context: cocktail-only (2.2× multiplier). Duration: 1.5 hours (1.35× factor). Stationary service: −5%. Calculator: (6 × 2.2 × 1.35 × 0.95) = approximately 16.9 pieces/person. 16.9 × 80 = 1,352 base + 12% = 1,514 pieces. Per variety: 379 pieces each. Platter count: 379 ÷ 36 = 11 platters per variety = 42 platters total. The HR coordinator, initially planning to order 6 platters of 50 (300 pieces total), would have served only about 4 pieces per guest over 1.5 hours in a cocktail-only context — clearly inadequate. The calculator’s output of 1,514 pieces (about 30 platters of 50) reflects the genuine quantity needed when appetizers are the entire food service for a 1.5-hour social event.
Quinceañera’s Cocktail Hour: 200 Guests in San Antonio, Texas
A San Antonio quinceañera is hosting a 75-minute cocktail hour before a full dinner and presentation ceremony. 200 guests, mixed passed and stationary service, 6 varieties. Context: before full dinner (1.0× multiplier). Duration: 1.5 hours (1.35× factor). Mixed service: −2.5%. Calculator: (6 × 1.0 × 1.35 × 0.975) = 7.9 pieces/person. 7.9 × 200 = 1,580 + 12% = 1,770 pieces. Per variety: 295 pieces each. Platter count: 8 to 9 platters per variety (using 36-piece platters) = 50 total platters. The family’s caterer organized the cocktail hour with 3 passed items (circulating through the crowd every 15 minutes) and 3 stationary stations (a charcuterie display, a bruschetta bar, and a hot appetizer station with chafing dishes). The mixed format allowed high-visibility passed items to create energy in the room while the stationary stations gave guests a destination to gather and graze.
What Should US Hosts and Caterers Know About Appetizer Planning?
Passed App Timing: The 15-Minute Rule
For passed appetizer service at US events, the standard that professional catering captains use is that servers should circulate through the entire room once every 10 to 15 minutes during peak cocktail hour service. Each pass should present a full tray of items, not a partially depleted one — servers return to the kitchen to reload before re-entering the event space with less than 40 percent of the tray remaining. The 15-minute rule means that a guest who misses the first pass of a particular item will have another opportunity within 15 minutes. For a 60-minute cocktail hour with 5 varieties, a properly staffed passed service will complete 4 to 6 full room passes per variety during the service period. This requires adequate server staffing (typically 1 server per 25 to 35 guests for passed appetizer service) to maintain the circulation cadence.
Temperature Management for Stationary Platters
Stationary appetizer platters must be managed for temperature throughout the service period: hot items must be kept hot (above 140°F per USDA food safety guidelines) and cold items must be kept cold (below 40°F). For stationary platters at US events, chafing dishes with Sterno fuel or electric heating elements are used for hot items; ice beds or refrigerated display units are used for cold items. The most common food safety error at US events involving stationary appetizer platters is leaving a platter on display for longer than the 2-hour maximum holding time without replacement. After 2 hours at room temperature, any food that started as a cold item and was placed in the temperature danger zone (40 to 140°F) must be removed and replaced with a fresh platter — not replenished from the same batch. For cocktail-only events running 2 or more hours, plan for platter replacement at the 1.5 to 2 hour mark for cold stationary items.
Specialty and Dietary Variety Planning
US event guests in 2025 and 2026 increasingly include a meaningful proportion of guests with dietary restrictions: vegetarian, vegan, gluten-free, kosher, and allergy-related (shellfish, nuts, dairy) are the most common. Planning appetizer varieties that accommodate at least the most common restrictions — vegetarian and gluten-free — without requiring guests to identify themselves as having restrictions allows all guests to eat freely from the available options. The practical approach: plan for 2 to 3 of your 4 to 6 varieties to be naturally vegetarian (caprese skewers, bruschetta, stuffed mushrooms, spinach phyllo cups, etc.) and at least 1 to 2 varieties to be naturally gluten-free (charcuterie and cheese, shrimp cocktail, deviled eggs, crudite). Label all stationary platter items with small tent cards indicating the variety name and key dietary attributes (“GF” for gluten-free, “V” for vegetarian) — this is both a courtesy and a liability protection measure for the host.
Appetizer Quantity Questions US Hosts Ask Most
For a 1-hour cocktail hour immediately before a full dinner: 4 to 6 pieces per person. This represents the US catering industry standard for a pre-dinner appetizer service where guests will be eating a full meal within 60 to 90 minutes. The lower end (4 pieces) applies when dinner timing is tight and the cocktail hour is brief. The upper end (6 pieces) applies when the cocktail hour is a full 60 minutes with heavy social energy. For 100 guests at the standard of 5 pieces per person: 500 base pieces + 12% buffer = 560 pieces total, or approximately 16 platters of 36. Never plan for fewer than 4 pieces per person for a pre-dinner cocktail hour regardless of how close dinner service is to the start of the event.
For a 2-hour party where appetizers are the only food: 12 to 14 pieces per person. For a 1-hour party before dinner: 4 to 6 pieces per person. For a 90-minute heavy app event: 9 to 11 pieces per person. The range is wide because “party” covers an enormous range of scenarios. The most important question to answer first is whether you are serving dinner after the appetizers (which keeps the per-person count low) or whether appetizers are the entire food service (which requires the full meal equivalent count of 10 to 14 pieces). When in doubt, plan as if appetizers are the primary food and add a small salad or bread service to fill out the meal; this approach errs on the side of adequacy and is far preferable to running short.
For 50 guests at a 1-hour cocktail hour before dinner (5 pieces/person): 250 base + 12% = 280 pieces. With 4 varieties: 70 pieces each (2 platters of 36 per variety). For a 2-hour cocktail-only reception (13 pieces/person): 650 base + 12% = 728 pieces. With 4 varieties: 182 pieces each (5 platters of 36 per variety). For 50 guests, 3 to 4 varieties is the recommended variety count — enough to provide choice and accommodate dietary needs without creating too many small platter quantities that make management difficult. A 50-person cocktail hour before dinner would typically run $800 to $1,500 in appetizer catering costs at US rates of $3 to $5 per piece for typical catered appetizer items.
For 100 guests at a 1-hour pre-dinner cocktail hour (5 pieces/person): 560 total pieces (500 base + 12%). With 5 varieties: 112 pieces each = 4 platters of 36. Total: 20 platters of 36 for 100 guests. For a 2-hour cocktail-only event (13 pieces/person): 1,456 total pieces. With 5 varieties: 291 each = 8 to 9 platters of 36. Total: 43 platters for 100 guests cocktail-only. The difference between these scenarios for 100 guests is ordering 20 platters vs. 43 platters — more than double. Confirming the meal context before calculating is critical for accurate ordering. Budget range for 100-person passed appetizer service: $1,500 to $3,500 depending on menu sophistication, market, and caterer.
For 200 guests at a 1.5-hour cocktail hour before dinner (7 to 8 pieces/person): approximately 1,680 to 1,800 total pieces. With 6 varieties: 280 to 300 pieces each = 8 to 9 platters of 36 per variety = 50 platters total. For a 200-person cocktail-only event at 2 hours (13 pieces/person): 2,912 total pieces + 12% = 3,261 pieces. With 6 varieties: 544 each = 15 to 16 platters per variety = 90+ platters. At this scale, caterers typically use bulk ordering and kitchen production rather than individual platter units; the per-piece count drives the preparation quantities. For 200-person events, coordinating with your caterer on the total piece count by variety and letting them manage platter presentation is the professional approach.
Passed appetizers are carried through the crowd on trays or boards by servers, who offer individual pieces directly to guests. Stationary appetizers are displayed on tables, platters, or station setups that guests approach and serve themselves from. Passed service: creates a more formal, curated experience; ensures every guest is reached regardless of where they are in the room; allows the caterer to control pacing by varying how frequently trays are refilled and sent out; typically requires more servers (1 per 25 to 35 guests). Stationary platters: more cost-efficient on staffing; allow guests to control their own consumption pace; create social focal points where guests gather and mingle; work best for casual events or large events where the crowd is spread across multiple areas. Mixed service combines both: pass 3 to 4 varieties by tray for visibility and social circulation, and set up 1 to 2 stations for items that are better self-served (charcuterie boards, bruschetta bars, cheese displays).
Recommended variety count by guest count: 10 to 30 guests: 2 to 3 varieties; 30 to 75 guests: 3 to 4 varieties; 75 to 150 guests: 4 to 6 varieties; 150 to 300 guests: 5 to 7 varieties; 300+ guests: 6 to 8 varieties. The variety count should provide genuine menu breadth (at least one each of hot, cold, protein-forward, and vegetarian) without spreading the quantity so thin that any single variety runs out before others. A good rule of thumb: each variety should have enough pieces to serve every guest at least 1 to 2 pieces of that specific item, even in a pre-dinner cocktail hour context. This minimum ensures that even guests with specific dietary preferences (vegetarians who can only eat 1 to 2 of your 5 varieties) receive an adequate quantity from their available options.
Yes, and cocktail-style receptions with heavy appetizers replacing a seated dinner are increasingly common at US weddings, particularly for afternoon or early evening receptions and for couples seeking a more social, less formal format. The key considerations: (1) Clearly communicate to guests in the invitation and event materials that the reception is “cocktail style” or “heavy hors d’oeuvres” so guests arrive with appropriate expectations and do not go hungry expecting a seated dinner; (2) Plan significantly more food than a cocktail hour: 10 to 14 pieces per person for a 2-hour reception, with a balance of substantial items (mini sliders, crab cakes, bruschetta, stuffed mushrooms) alongside lighter options; (3) Include at least one carb-forward or heavy item (slider buns, artisan breads, pasta cups) to provide the satiety component that alcohol-serving events require; (4) Ensure adequate stationary options alongside passed items so guests can return for additional food throughout the event without depending on when a tray passes by.
US catered appetizer pricing (2025 to 2026): Budget tier: $2 to $4 per piece (simple items, mass production). Mid-range: $3.50 to $6 per piece (chef-prepared, quality ingredients, proper garnish). Upscale: $5 to $10 per piece (premium proteins, elaborate presentation, custom production). Per-person cost for a 1-hour pre-dinner cocktail hour at 5 pieces/person: $10 to $30 per person depending on tier and menu. Per-person cost for a 2-hour cocktail-only reception at 13 pieces/person: $26 to $78 per person. These per-piece prices typically include presentation (the platter, liner, garnish) but may not include server staffing for passed service (typically billed separately at $20 to $35 per server per hour) or equipment rental. Get itemized quotes from at least two caterers and compare on a per-piece basis rather than total price to ensure you are comparing equivalent quantities and service levels.
The consistently most-requested passed appetizers at US weddings in recent years: bruschetta (various toppings), mini crab cakes (a classic at formal events), beef or lamb lollipops, caprese skewers (fresh mozzarella, cherry tomato, basil), shrimp cocktail shots, stuffed mushrooms, prosciutto-wrapped melon or asparagus, brie and fig phyllo cups, mini lobster rolls (at upscale Northeast weddings), and pulled pork or BBQ sliders (especially at Southern US weddings). Popular stationary appetizer displays: artisan charcuterie boards (the most consistently in-demand item at US wedding cocktail hours), crostini with assorted toppings, cheese and accompaniments, fresh fruit and vegetable crudite, oyster stations (at coastal weddings). Note that trends in wedding catering shift quickly; consulting with your specific caterer on what is popular in your market and with your guest demographic will yield more relevant recommendations than any generalized list.
Best practices for dietary accommodation in event appetizers: (1) In the RSVP or event invitation, ask guests to indicate dietary restrictions; (2) Share restriction list with your caterer at least 2 weeks before the event; (3) Plan at least 30 to 40 percent of varieties to be vegetarian by default — caprese, bruschetta, stuffed mushrooms, cheese and fruit are universally popular regardless of dietary preference; (4) Ensure at least 1 to 2 varieties are naturally gluten-free (shrimp cocktail, caprese skewers, crudite, deviled eggs) without requiring substitution; (5) For guests with specific allergies identified in the RSVP, arrange with the caterer for clearly labeled individual portions of safe items rather than modifying shared platters; (6) Label all stationary platters with small tent cards identifying varieties and major allergen flags (V = vegetarian, VE = vegan, GF = gluten-free, N = contains nuts, S = contains shellfish). Most US caterers are accustomed to this level of allergen labeling and will prepare labels as part of the catering service.
The standard US wedding cocktail hour timing: appetizers begin as soon as guests arrive for the cocktail hour, which typically starts immediately after the ceremony ends (for same-venue ceremonies) or at the posted reception start time (for guests traveling from a ceremony at another location). Guests who arrive early to the cocktail hour should have appetizers waiting; there should never be a gap where guests are standing with drinks but no food available. The cocktail hour ends when guests are called to dinner, and appetizer service should cease (or slow significantly) when the first dinner course is being plated in the kitchen. At events without a cocktail hour, appetizers served during the reception itself (e.g., during the first dance portion or toasts) should be planned for the specific window of activity when seated dinner service is paused.
The US catering industry rule of thumb: 3 pieces per person per 30 minutes of service. Adjust for meal context: if the party includes dinner, reduce total quantity. If appetizers are the only food, increase per the cocktail-only guidelines. In practical terms: pre-dinner cocktail party of 1 hour = 6 pieces per person. Party replacing dinner of 2 hours = 14 pieces per person. Quick calculation for any scenario: multiply your guest count by the appropriate per-person pieces, then add 12 to 15 percent for the safety buffer. Divide by the number of varieties to get the per-variety quantity. Divide each variety quantity by your platter size to get the platter count to order. This calculator performs this exact calculation automatically based on the inputs you provide.
Yes, modestly. Alcohol consumption at a cocktail hour is associated with slightly increased food consumption, particularly for salty and protein-forward items that pair well with wine and cocktails. The standard rule in the catering industry is to increase appetizer quantities by approximately 10 percent for events with open bar service compared to events with beer and wine only or no alcohol. This is a secondary adjustment compared to the meal context and duration factors, which drive much larger differences in quantity. More importantly, serving adequate food alongside alcohol is both an ethical and a practical consideration: guests who have substantial food intake alongside alcohol become less impaired and less likely to make poor transportation decisions after the event. The 12 percent overage buffer built into this calculator already partially accounts for the alcohol-related consumption increase for most events.
Children at events typically consume significantly fewer appetizers than adults for several reasons: smaller appetites, more selective food preferences (many children avoid unfamiliar or sophisticated flavors common in event appetizers), and shorter cocktail-hour attention spans (children often sit with family rather than mingling and grazing). For events with a significant child contingent (more than 20 percent of guests are children under 12), consider reducing the per-person quantity by 20 to 30 percent for the child portion of the guest count. Enter the adjusted effective guest count (e.g., for 100 guests including 20 children: 80 adults at full quantity + 20 children at 60% = 80 + 12 = 92 effective guest equivalents) into the calculator guest count field. For very young children who will be eating separate kid-friendly food at the event, count them at 0 for appetizer planning purposes.
For catered events, finalize your appetizer order (variety selections, quantities, service style) at least 2 weeks before the event to allow the caterer to source specialty ingredients and plan production. For very large events (200+ guests) or events with premium ingredients (lobster, truffles, wagyu, specialty cheeses), 3 to 4 weeks advance notice is appropriate. Adjust quantities based on final guest count when the RSVP window closes, typically 2 to 3 weeks before the event. Most caterers will accept final quantity adjustments within 5 to 7 business days of the event, though very large increases may be subject to availability and premium pricing. After finalizing the order, confirm in writing with the caterer: total piece count by variety, service start time, service duration, any dietary labeling requirements, and the platter replenishment schedule (especially for stationary items that will need fresh replacements after 2 hours).