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  <xs:element id="chef_DebtInstrumentSpringingMaturityMaximumMaturityDatePeriodPriorToScheduledMaturityDate" abstract="false" name="DebtInstrumentSpringingMaturityMaximumMaturityDatePeriodPriorToScheduledMaturityDate" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="chef_DebtInstrumentPeriodicPaymentPrincipalPercentage" abstract="false" name="DebtInstrumentPeriodicPaymentPrincipalPercentage" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="chef_GainLossOnExtinguishmentOfDebtAmendments" abstract="false" name="GainLossOnExtinguishmentOfDebtAmendments" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_GainLossOnExtinguishmentOfDebtPrepayments" abstract="false" name="GainLossOnExtinguishmentOfDebtPrepayments" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_DebtInstrumentArrangementFees" abstract="false" name="DebtInstrumentArrangementFees" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_DebtInstrumentTransactionCosts" abstract="false" name="DebtInstrumentTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_LineOfCreditFacilityMaximumBorrowingCapacityAccordionFeature" abstract="false" name="LineOfCreditFacilityMaximumBorrowingCapacityAccordionFeature" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_LineOfCreditCovenantTermsMinimumBorrowingBaseAmount" abstract="false" name="LineOfCreditCovenantTermsMinimumBorrowingBaseAmount" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_LineOfCreditCovenantTermsMinimumBorrowingBasePercentage" abstract="false" name="LineOfCreditCovenantTermsMinimumBorrowingBasePercentage" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="chef_LineOfCreditCovenantTermsMinimumConsolidatedFixedChargeCoverageRatio" abstract="false" name="LineOfCreditCovenantTermsMinimumConsolidatedFixedChargeCoverageRatio" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="chef_AmountsReservedForIssuanceOfLettersOfCredit" abstract="false" name="AmountsReservedForIssuanceOfLettersOfCredit" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_Convertible1875SeniorNotesMember" abstract="true" name="Convertible1875SeniorNotesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_ConvertibleNoteMaturingOnJune292023Member" abstract="true" name="ConvertibleNoteMaturingOnJune292023Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_DebtInstrumentNumberOfInstallmentsForRepayment" abstract="false" name="DebtInstrumentNumberOfInstallmentsForRepayment" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="chef_TimeAndPerformanceBasedGrantsMember" abstract="true" name="TimeAndPerformanceBasedGrantsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_TimeBasedRestrictedStockMember" abstract="true" name="TimeBasedRestrictedStockMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsFairValue" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsFairValue" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_StockRepurchaseProgramProgramTerm" abstract="false" name="StockRepurchaseProgramProgramTerm" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="chef_MarketbasedRestrictedStockAwardsMember" abstract="true" name="MarketbasedRestrictedStockAwardsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_FinanceLeaseCost" abstract="false" name="FinanceLeaseCost" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_ThirdPartyMember" abstract="true" name="ThirdPartyMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_IncomeTaxesReceivableNetOperatingLossCARESAct" abstract="false" name="IncomeTaxesReceivableNetOperatingLossCARESAct" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCompensationLimitationAmount" abstract="false" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCompensationLimitationAmount" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCharitableContributionsCreditAmount" abstract="false" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCharitableContributionsCreditAmount" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCompensationLimitationPercent" abstract="false" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCompensationLimitationPercent" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="chef_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCharitableContributionsCreditPercent" abstract="false" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCharitableContributionsCreditPercent" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="chef_DeferredTaxAssetsGrossCurrentAbstract" abstract="true" name="DeferredTaxAssetsGrossCurrentAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="chef_DeferredTaxAssetsReceivablesAndInventories" abstract="false" name="DeferredTaxAssetsReceivablesAndInventories" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_DeferredTaxAssetsTaxDeferredExpenseOperatingLeaseLiability" abstract="false" name="DeferredTaxAssetsTaxDeferredExpenseOperatingLeaseLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_DeferredTaxAssetsOtherAssetsNoncurrent" abstract="false" name="DeferredTaxAssetsOtherAssetsNoncurrent" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="chef_DeferredTaxLiabilitiesNoncurrentClassificationAbstract" abstract="true" name="DeferredTaxLiabilitiesNoncurrentClassificationAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="chef_NonProductionDirectCostsMember" abstract="true" name="NonProductionDirectCostsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_FoodProcessingCostsMember" abstract="true" name="FoodProcessingCostsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_FoodserviceDistributionMember" abstract="true" name="FoodserviceDistributionMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_NewYorkCityMember" abstract="true" name="NewYorkCityMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="chef_DefinedContributionPlanEmployerMatchingContributionBeginningVestingPeriod" abstract="false" name="DefinedContributionPlanEmployerMatchingContributionBeginningVestingPeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="chef_DefinedContributionPlanEmployerMatchingContributionFullyVested" abstract="false" name="DefinedContributionPlanEmployerMatchingContributionFullyVested" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="chef_PercentageOfEmployeesRepresentedByUnions" abstract="false" name="PercentageOfEmployeesRepresentedByUnions" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
</xs:schema>
