Maximização do Lucro do Monopólio

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Última Atualização 23 de março de 2021

QUESTÃO CERTA: A produção de uma firma monopolista maximizadora de lucro se dá na zona elástica da curva de demanda.

Sim, isso acontece pois ele trabalha em um nível de produção abaixo do nível demandado. Haja vista a possibilidade de aumento dos preços e maximização de lucros. O monopolista irá atuar quando Epd>1, portanto, o monopolista só opera no ramo elástico da curva de demanda.

Enquanto o monopolista estiver na zona inelástica da curva de demanda, sempre valerá a pena aumentar o preço porque a quantidade vendida cairá menos do que proporcionalmente, o que elevará o lucro.

Então, é certo que o monopolista só para de elevar o preço quando chegar na zona elástica da curva de demanda. Ali sim, elevar o preço gera maiores quedas na quantidade vendida e aí é que será necessário ver o custo-benefício em relação aos seus custos.

Porque note que se ele está na zona inelástica, aumentar o preço diminuindo a quantidade vendida traz ganhos pelos dois lados: a receita aumenta e o custo cai (afinal está produzindo menos).

Na parte elástica da curva é que vem o trade-off: aumentar o preço e reduzir a quantidade vendida até faz cair os custos, mas faz cair a receita também. Então, é certo que é em algum trecho da zona elástica que estará o ponto ótimo.

QUESTÃO CERTA: Determinado produto, ao ser ofertado por um monopolista, obedece à seguinte função de demanda: P = 6.100 – 26q, em milhares de unidades monetárias, em que P é o preço unitário de venda e q é a quantidade produzida. O custo total (CT) de produção de q unidades desse produto é expresso por CT = 45.000 + 100q + 4q2. Nesse caso, o preço que maximiza o lucro do monopolista, em milhares de unidades monetárias, é igual a: 3.500

Maximização de Lucro

Rmg = Cmg Onde Cmg é a derivada do Custo total; assim sendo CT = 45000 + 100q + 4q^2     =>

Cmg = 100 + 8qRT = P X Q (preço vezes a quantidade) => (6100 – 26q) x q = 6100q – 25q^2Rmg

é a derivada da receita total =>  Rmg = 6100 – 52q

Agora é só igualar Rmg = Cmg => 6100-52q = 100 + 8q => q = 100 => P = 6100 -26(100) = 3500

QUESTÃO ERRADA: Com relação a um produto de um mercado que está sob a situação de monopólio natural, o gráfico a seguir mostra: a curva de demanda, D, que corresponde ao preço de venda, p, para cada quantidade, Q, demandada pelo mercado, e a curva de custo marginal, C, que corresponde ao custo marginal, CMg, quando a produção atinge Q unidades. Nesse gráfico, CMg e p estão medidos na mesma escala do eixo vertical.

Tendo como referência as informações e o gráfico apresentados, bem como conceitos a eles pertinentes, julgue (C ou E) o item que se segue. A quantidade a ser produzida e vendida no mercado a que se refere o gráfico em questão é igual àquela determinada pelo cruzamento das curvas D e C.

Errado, a maximização do monopólio ocorre quando Rmg=Cmg. Porém, é preciso lembrar de que, no monopólio, o preço é exorbitante. Ou seja, o monopolista irá cobrar o maior preço que a demanda pode suportar. Ou seja, a quantidade ofertada não é igual ao ponto em que Cmg=Demanda (Rme). Para que o ponto fosse determinado, deveria ter sido exposta, no gráfico, a curva de Rmg. Na verdade, sabemos onde ela está no gráfico (abaixo da demanda). O que se percebe é que o ponto de cruzamento é diferente daquele dado no gráfico.

A maximização dos lucros de qualquer estrutura de mercado (inclusive o monopólio) ocorre quando RECEITA MARGINAL = CUSTO MARGINAL.

A curva de Rmg do monopólio está abaixo da curva de demanda e é mais inclinada.

A quantidade a ser produzida para se manter o equilíbrio e o lucro é até o cruzamento da Rmg com o Cmg. Nós não temos no gráfico representação da Rmg, mas sim demanda. Se for produzido acima do ponto de cruzamento das duas curvas a empresa não estará tendo lucro. A produção deve ser abaixo ou no máximo igual ao ponto de cruzamento.

A questão tenta confundir o conceito de monopólio e concorrência perfeita. Na concorrência perfeita o preço é igual custo marginal e igual a receita marginal já no monopólio essa igualdade só se dá entre a receita marginal e o custo marginal.

QUESTÃO CERTA: Um monopolista maximiza o lucro na parte elástica da demanda, operando com markup maior do que um.

Monopolista não atua na parte inelástica porque nessa parte a Rmg é negativa e como Cmg=Rmg , o Cmg é negativo.

É importante ressaltar que o monopolista terá um maior poder de monopólio quando o equilíbrio estiver mais próximo do EPD=1, ou seja, quanto mais elástico menor é o p oder do monopolista. (Índice de Lerner).

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QUESTÃO CERTA: Uma empresa monopolista tem a seguinte função de custos de produção (CT), onde q é a quantidade produzida:

CT = 20.000 + 100 q + 10 q2 

A função demanda do produto ofertado por esse monopolista é dada pela função:

P (preço) = 4.000 − 20 q

A quantidade produzida que maximiza o lucro desse monopolista, em unidades, é igual a

Solução:

Primeiro, é preciso lembrar que a condição de maximização do lucro no monopólio é CMg = RMg.
Assim, calculamos o CMg que é a derivada do CT em relação à Q:
CMg = dCT/ Q = derivada  (20000 + 100Q + 10Q^2)  = 100 + 20Q
CMg= 100+20Q

Agora, preciso do valor da RMg. Se tenho o valor do Preço e sei que RT (receita total)= P x Q. Substituindo pelo valor de P , tenho RT = (4000 – 20Q) x Q
= 4000Q – 20Q^2.
A RMg é a derivada da RT. Assim, derivada de (4000Q – 20Q^2) = 4000 – 40Q.
RMg= 4000 – 40Q

De posse das duas equações, vou igualar CMg com RMg (condição de maximização do lucro no monopólio).

100 + 20Q = 4000 – 40Q
60Q= 3900
Q = 65

QUESTÃO CERTA: A firma monopolista nunca opera na zona inelástica da curva de demanda.

No monopólio há apenas uma empresa para inúmeros consumidores. O produto não possui substitutos próximos e há barreira à entrada de novas firmas. Outra característica é que monopolista só opera no ramo elástico da curva de demandaO monopolista não irá operar (ou atuar) onde a curva de demanda é inelástica.

Zona inelástica (EPD<1) = o monopolista nao produz aqui, pois o aumento da produção nao reduz a receita total, há incentivo para a produção (Rmg positiva).

Zona elástica (EPD>1) = o monopolista nao produz aqui, pois o aumento da produção implica em redução da receita total (Rmg negativa)

Zona unitária (EPD=1) = aqui que o monopolista produz, pois aqui a receita total é máxima (Rmg = 0)

QUESTÃO CERTA: Uma empresa monopolista na cidade de Ericeira produz seu produto a um custo médio e marginal constantes iguais a Cme = CMg = 10. Essa mesma empresa defronta-se com uma curva de demanda do mercado descrita por P (Q) = 30 – Q.

O lucro desse monopolista é:

Equilíbrio no monopólio: Rmg = Cmg

RT = PxQ
RT = Px(30-P)
RT = 30P-P² (derivando encontramos a receita marginal)
Rmg = 30-2P

Preço de equilíbrio do monopólio
30-2P = 10   (Cmg)
P = 10

Quantidade de equilíbrio no monopólio
P  = 30 – Q.
10 = 30 – Q.
Q = 20

Receita total: 20×10 = 200
Custo total: CMe x Q = 10×10 = 100

Lucro do monopólio: 200-100 = 100

QUESTÃO CERTA: A análise das estruturas de mercado fundamenta os efeitos da oferta e da demanda, no mercado tanto de bens quanto de fatores de produção. Nesse contexto, a persistência de lucros extraordinários, mesmo no longo prazo: ocorre no monopólio.

Como no monopólio há barreiras à entrada, existe lucro econômico no LP.

Lembrando que, no Curto Prazo, o monopolista pode sofrer prejuízo, MAS o preço não pode ser inferior ao CVme.

Lucros extraordinários:

P > Cme.

QUESTÃO CERTA: O lucro do monopolista é maximizado no ponto em que o custo marginal se iguala à receita marginal.

A empresa maximiza lucros quando o Custo Marginal (Cmg) se iguala à Receita Marginal (Rmg). Essa condição vale para qualquer estrutura ou tipo de mercado, independentemente se é curto ou longo prazo.

Qualquer empresa (estando inserido em um mercado monopolista, oligopolista, concorrência perfeita, etc), estando no curto ou no longo prazo, buscará produzir até o ponto em que o seu custo marginal de produção seja igual à receita marginal.

QUESTÃO CERTA: O custo C(Q), em R$ milhões, de uma indústria monopolista produtora de aço, para produzir Q toneladas de aço é expresso por C(Q) = 44 – 10 × Q + Q2. A curva de demanda desse produto, em R$ milhões por tonelada, é P(Q) = 50 – 4 × Q. A partir dessas informações, julgue o item subsecutivo. O ponto de lucro máximo não é um ótimo de Pareto.

“O monopólio de modo geral não é eficiente no sentido de Pareto

Um monopolista produz menos e mais caro que uma firma competitiva, ou seja, a quantidade produzida pelo monopólio é menor do que a quantidade produzida pela firma competitiva e o preço do monopólio é maior do que o preço praticado no mercado competitivo.

Porém se o monopolista é um perfeito discriminador de preços, então o monopólio é eficiente no sentido de Pareto, pois consegue se apoderar de todo o excedente do consumido.

QUESTÃO ERRADA: Considere uma firma monopolista cuja função custo seja dada por C = 30 + 10Q, em que Q é a quantidade produzida, e cuja demanda pelo seu produto seja dada por Q = 100 – P, em que P é o preço do produto. Nesse caso, a firma, ao maximizar seu lucro, produzirá 55 unidades do bem.

A diferença principal entre a firma monopolista e a firma em concorrência perfeita é que a primeira influencia os preços e a segunda é tomadora de preços. Em ambos os casos, deve-se igualar a Receita Marginal e o Custo Marginal.

Receita Total = RT ; Receita Marginal = RMg ; Custo Marginal = CMg

Resolvendo o problema para uma firma em concorrência perfeita:

RT = P.Q = P(100 – P) = 100P – P² ;;; RMg = 100 – 2P ;;; CMg = 10

RMg = CMg

100 – 2P = 10

P=45

Substituindo o valor de P na função de Q

Q=100 – 45 = 55

A questão estaria certa se fosse um problema de concorrência perfeita.

Resolvendo o problema para uma firma monopolista:

RT = P.Q = (100 – Q)Q = 100Q – Q² ;;; RMg = 100 – 2Q ;;; CMg = 10

RMg = CMg

100 – 2Q = 10

Q=45

Como a firma monopolista influencia os preços, a quantidade agora é função deles. Portanto, inverte-se a função Q, tendo então que P = 100 – Q.

Vale ressaltar também que o lucro da firma monopolista é maior, mas a quantidade produzida é menor, ou seja, há uma perda de bem-estar.

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  99. Jedoch sollten Sie darauf achten, dass ausschließlich
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  102. Informationen dazu holt Ihr gut beraten sein direkt
    beim Veranstalter ein. Um auf alle Eventualitäten vorbereitet nicht geöffnet haben, solltet Ihr Euch vor Eurer Reise Informationen über Euren bestehenden Versicherungsschutz im ausland einholen.
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  103. Für Rolex gleicht es fast schon einer Revolution: Auf der digitalen Messe Watches and Wonders präsentierte die Schweizer
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  104. Today, I went to the beachfront with my children. I found a sea shell and gave
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  108. Holzfenstern wird pauschal eine sehr gute Wärmedämmung sowie eine
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  109. Holzfenstern wird pauschal eine sehr gute Wärmedämmung sowie eine hohe Festigkeit und damit einen guten Schutz vor Einbrüchen nachgesagt.
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    Und diese sind insbesondere deshalb wichtig, weil heute dank der fortschreitenden Technik und Herstellungsverfahren sowie neuer Materialien auch Fensterrahmen aus anderen Materialien sehr gute Werte auf dem gebiet Wärmedämmung und Sicherheit aufweisen. In Sachen Wärmedämmung sind Weichhölzer, dazu zählen insbesondere die Nadelhölzer, die bessere Wahl.
    Der Grund liegt auf der Hand: Harthölzer wachsen im
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    Denn sie haben bessere Dämmwerte als die Harthölzer.
    Die Weichhölzer hingegen wachsen schneller, sind leichter und zeichnen sich durch eine gröbere Zellstruktur
    aus. In dieser Zellstruktur vertrauter miteinander werden Luft gespeichert, die für den Dämmeffekt verantwortlich ist.

    Andererseits haben auch Harthölzer spezifische Eigenschaften: Da
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  113. Der feinsandige Strand ist etwa 80 m lang
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  114. Montiert werden Bewegungsmelder meistens an der Decke oder Wand.
    Modelle für den Außenbereich müssen wetterfest und spritzwassergeschützt sein. Bewegungsmelder werden häufig mit einer Lichtschaltung gekoppelt!

    Die Klassifizierung wird im Test durch eine Kennziffer definiert,
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    Hochwertige Modelle im Vergleich sind noch dazu auch staub- und kratzfest.
    Wie schnell ein elektronischer Melder reagiert, hängt von der Sensibilität der Technik und von den Einstellungsmöglichkeiten ab.

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    größeren Bereich zuverlässig reagieren was sich jedoch
    auch auf den Preis bemerkbar macht. Viele Modelle können reguliert werden, damit
    sie nicht auf jede Kleinigkeit reagieren, z. B. auf die
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    Getestet wird, welche Einstellungen möglich sind und wie lange ein Modell aktiv bleibt.
    Für den Einsatz als Überwachungsgerät werden elektronische Melder im Test
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  117. Als Lieferant Deutscher Qualitätsprodukte verzichten die Hersteller von ROLLENLAND konsequent auf den Einsatz von Chemikalien, die eventuell durch Ausdampfen die
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    und sind frei von gesundheitsschädigenden Chemikalien. Unsere Kassenrollen werden aus holzfreiem, recyceltem Papier produziert.

  118. Have you ever considered writing an e-book or guest authoring
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  120. Während sich die Uhrenindustrie fast ausschließlich aufs Herzstück
    eines Zeitmessers konzentriert, haben die Bedürfnisse und Anforderungen von Tauchern in den letzten 60 Jahren vor allem dafür gesorgt, eben jenes Uhrwerk zuverlässig vor Wasser zu bewahren.
    Andererseits wurde zum Überfluss auch die eine oder andere clevere
    Idee ans Handgelenk gebracht, die sie für den Einsatz unter Wasser
    noch besser rüstet. Taucher kennen das Phänomen – zunehmend
    Druck verringert sich der Handgelenksumfang, die Uhr sitzt lose und befindet
    sich schon bald neben anderen das Zifferblattseite unten oder
    stört beim Hantieren. Die handelsüblichen ausklappbaren Verlängerungen von Schließen schaffen es also
    lediglich, den damit Taucheranzug gewachsenen Handgelenksumfang zu
    kompensieren (und manchmal noch sehr knapp das), sind aber nicht darauf vorbereitet, auf wechselnde Zustände zu reagieren. Das umgekehrte Phänomen tritt
    notabene beim Auftauchen auf: der exemplarisch verwendete Neoprenanzug dehnt sich wieder aus, die Uhr sitzt wieder fester.
    Das derzeit überzeugendste Lösungen: Die überarbeitete Tudor Pelagos beispielsweise verfügt nicht nur über eine integrierte Verlängerung,
    sondern auch über eine gefederte Schließe. Und wer doch lieber mit
    einem Kautschukband taucht, findet im Lieferumfang auch gleich das passende Band mit einem großzügig dimensionierten Zwischenstück (inklusive Falten) für den Trockentauchanzug.

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  122. Benutzen Sie den Rollstuhl viel draußen,
    schlagen Sie evtl.noch zwei Zentimeter für Decken, Schlupfsäcke, Mäntel et
    aliae zusätzliche Kleidung auf. Dabei denken Sie jedoch auch an absehbare körperliche Veränderungen.
    Ist mit wachsendem Gewicht zu rechnen, schlagen Sie mehr als
    einer Zentimeter auf. Ist bereits ein gut passender Rollstuhl vorhanden, können Sie sich
    an dessen Sitzmaß orientieren und dieses einfach messen. Wenn
    hingegen eine Gewichtsabnahme zu erwarten ist, nutzen Sie das Grundmaß ohne zusätzlichen Aufschlag.
    Summa summarum gilt: Je aktiver sich ein Rollstuhlfahrer im Rollstuhl bewegt, desto knapper kann
    die Sitzbreite bemessen werden. Zu beachten sind dabei das Mindest-Sitzmaß und das Maximal-Sitzmaß.
    Das Mindestsitzmaß muss wenigstens die
    auf der Bank gemessene Sitzbreite sein. Für das Maximalsitzmaß gilt die gemessene Sitzbreite plus höchstens vier Zentimeter.
    Beachtet werden muss auch die Gesamtbreite des Rollstuhls, die reichlich über die Sitzbreite hinausgeht.
    Dazu lesen Sie die Angaben des Herstellers in den technischen Details.
    Die gesamte Breite für den Rollstuhl sollte lieber immer mehr als
    einer Zentimeter weniger sein, als die vorhandene
    Türbreite.

  123. So wie ich die Dinge sehe kauft man bei SEO Agenturen zuvörderst Zeit, Identifikation und Leidenschaft.
    Know-How vorausgesetzt. Kein Mensch wird leidenschaftlich und mit Identifikation an einem Projekt arbeiten, das er nur an 5 Stunden im Monat betreut.
    Aus meiner Erfahrung gibt es eine Basis-Identifikation ab
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  124. Weil man sich kaum darauf verlassen kann, nach zehn Jahren noch
    denselben Rechner mit derselben Festplatte in betrieb ohne Mann, dienlich die Archivierung auf einem nicht wiederbeschreibbaren Datenträger.
    Damit entfällt auch die Anforderung, verschlüsselte Dateien auf der Festplatte dann
    und wann gemäß Empfehlungen in der BSI-Richtlinie TR-02102 neu
    zu verschlüsseln. Wer eine als E-Mail-Anhang erhaltene Rechnung
    nur ausdruckt und abheftet, riskiert ebenfalls seinen Vorsteuerabzug und womöglich auch ein Bußgeld.
    Andernfalls geht der Gesetzgeber nämlich davon aus, dass man eine
    Datei, die Jahre zuvor der üblichen Schlüsselbreite kodiert und archiviert
    worden ist, mit den inzwischen verfügbaren leistungsfähigeren PCs dekodiert und manipuliert haben könnte.
    £Gelten für Privatleute dieselben Vorschriften wie für Geschäftsleute?
    ¶¢In den meisten Fällen hat man als Privatperson nicht einmal Anspruch
    auf eine förmliche Rechnung und kann Ausgaben auch mit einer bloßen Quittung oder einem Eigenbeleg beherrschen. Wann eine elektronische Rechnung auch als Beleg in einer privaten Steuererklärung taugt,
    ist ohne verbindliche Rechtsgrundlage.

  125. Duftende, frische Zweige vom Tannenbaum erfreuen sie
    sich großer Beliebtheit – insbesondere in der Weihnachtszeit.
    Aber auch im Garten sehen Tannen dekorativ aus – das ganze jahr über!
    Die Setzlinge soll gut beraten sein im Herst gepflanzt werden, sie sind pflegleicht aber ein regelmäßigen Schnitt soll
    beachtet werden. Doch der Tannenbaum mit seinen knapp 50 verschiednen Arten ist
    eine Spezies ohne fremde Hilfe – so wie beispielsweise die Fichte.
    Entgegen dieser werfen Tannenbäume ihre Tannenzapfen aber nicht ab, sondern nur ihre Samenschuppen. Irrtümlicherweise werden häufig sämtliche Nadelbäume als „Tannenbäume” bezeichnet. Ein weiteres Unterscheidungsmerkmal sind die Nadeln, die bei einem „echten” Tannenbaum niemals spitz sind.
    Tannenbäume sind voller ätherischen Ölen, die insbesondre bei Husten, Erkältungskrankheiten sowie Rheuma unterstützend eingesetzt
    werden. Prinzipiell ist es Tannenbäumen ziemlich egal, ob sie sonnig oder schattig stehen, beispielsweise als Unterpflanzung höherer
    Bäume. Wichtig bei der Wahl des Standortes zum Tannenbäume pflanzen ist allerdings, zu
    bedenken, dass sie 600 Jahre und alt werden können und
    daher ungestört wachsen sollten…

  126. I know this if off topic but I’m looking into starting my own blog and was
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  127. Tattoos sind für viele Menschen mehr als nur reine
    Körper-Verzierungen. Sie sind Glücksbringer, (schöne und schmerzhafte) Erinnerungen, oder Liebesbeweise.
    Ob auf dem Schlüsselbein oder am Handgelenk, mit Geburtsdatum oder Unendlichkeitszeichen, als Herz oder Schriftzug, für Frau oder Mann – hier
    kommen unsere besten Motive und Vorlagen. Zu den stärksten Liebesbeweisen zählt ein Kindernamen Tattoo.
    Du bist immer bei mir‘. Denn die Liebe zu einem Kind hält ein Leben lang.

    Du möchtest deine Kinder immer auf deiner Haut tragen und bist auf der Suche nach Inspiration? Dann bist du bei
    uns genau richtig. Mamas und Papas lassen sich den Namen ihres Kindes auf der Haut verewigen, um auszudrücken: ‚Ich liebe dich für immer und das wird sich
    nie mehr ändern. Der Klassiker schlechthin ist ein Tattoo
    auf dem Oberarm – absolut zeitlos! Immer da, und trotzdem nicht für jeden sichtbar:
    Die Innenseite des Handgelenks und der Unterarm.
    Fein, schlicht und schön ist auch dieses Herz-Motiv!
    Auch wenn es streng genommen nicht auf dem Arm,
    sondern auf der Körperseite, tätowiert ist. Du willst dein Tattoo doch etwas auffälliger gestalten? Das folgende Motiv eignet
    sich wunderbar für mehrere Kinder oder Doppelnamen, denn hier haben auch zwei oder
    mehr Kindernamen Platz!

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  139. Für mein Empfinden kauft man bei SEO Agenturen zuerst Zeit, Identifikation und Leidenschaft.
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    mehr in der Woche Agentur- und Schreibtisch-Thema ist sicherlich mit mehr Identifikation laufen. Bei durchschnittlich
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  143. Auf Platz sieben der meist gesuchen Tattoo Motive landen mit
    je 4.400 Suchanfragen pro Monat Katzen, Drachen und Wikinger.
    Jahren üppig geschmückte Unterarme auf Instagram gezeigt und geteilt.

    Feder, Tiger und Stern sowie Engel und Augen Tattoos teilen sich im Tattoo Ranking Platz sechs – mit je 5.400 monatlichen Suchanfragen. Kaum ist der Hype um die glitzernden Flash-Tattoos in metallischer Optik vorüber, schwappt schon die nächste Trend-Welle in Sachen Abziehbildchen zu uns.
    Tiere wie Eulen und Schmetterlinge sowie Blumen und Traumfänger Tattoos landen mit jeweils 6.600 Suchanfragen im
    Monat auf Platz fünf. Jetzt gibt es doch tatsächlich Tattoos
    MIT Duft! Den vierten Platz belegen das Kreuz und der Totenkopf als beliebte
    Tattoo Motive. Die Begriffe werden monatlich 8.100 Mal im Netz gesucht.

    Platz drei teilen sich Rosen und Tribals – mit je 9.900 Suchanfragen pro Monat.
    Auf dem zweiten Platz: Kompass, Löwe und Wolf. Unangefochten auf Platz eins, mit mehr als 14.000 Suchanfragen im Monat, ist das maritime Anker-Motiv.

    Diese Motive werden monatlich rund 12.100 Mal in die Suchmasken eingegeben.
    Dein Tattoo gefällt dir nicht? Du möchtest dein Tattoo entfernen?
    Zum Glück gibt es eine Möglichkeit, sie wieder zu entfernen. Wir haben alle Informationen über
    die Tattooentfernung gesammelt: Kosten, Methoden und
    Erfahrungsberichte von Kunden.

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