正确答案:(b)Thealgebraicmodelrequiresseveralassumptionstobetrue.First,theremustbeaconsistentrelationshipbetweenprice(P)anddemand(Q),sothatademandequationcanbeestablished,usuallyintheform.P=a–bQ.Here,althoughthereisaclearrelationshipbetweenthetwo,itisnotaperfectlylinearrelationshipandsomorecomplicatedtechniquesarerequiredtocalculatethedemandequation.ItalsocannotbeassumedthatalinearrelationshipwillholdforallvaluesofPandQotherthanthefivegiven.Similarly,theremustbeaclearrelationshipbetweendemandandmarginalcost,usuallysatisfiedbyconstantvariablecostperunitandconstantfixedcosts.Thechangingvariablecostsperunitagaincomplicatetheissue,butitisthechangesinfixedcostswhichmakethealgebraicmethodlessusefulinJewel’scase.Thealgebraicmodelisonlysuitableforcompaniesoperatinginamonopolyanditisnotclearherewhetherthisisthecase,butitseemsunlikely,soany‘optimum’pricemightbecomeirrelevantifJewel’scompetitorschargesignificantlylowerprices.Othermoregeneralfactorsnotconsideredbythealgebraicmodelarepoliticalfactorswhichmightaffectimports,socialfactorswhichmayaffectcustomertastesandeconomicfactorswhichmayaffectexchangeratesorcustomerspendingpower.Thereliabilityoftheestimatesthemselves–forsalesprices,variablecostsandfixedcosts–couldalsobecalledintoquestion.