<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><div class="t m0 x0 h1 y0 ff1 fs0 fc0 sc0 ls18 wsf">FACULDADE MUNICIPAL DE PALHOÇA </div><div class="t m0 x0 h1 y1 ff1 fs0 fc0 sc0 ls18 wsf">Curso de Bacharelado em Administração </div><div class="t m0 x0 h1 y2 ff1 fs0 fc0 sc0 ls18 wsf">Disciplina: Matemática Aplicada à Administração <span class="blank _0"> </span> </div><div class="t m0 x0 h1 y3 ff1 fs0 fc0 sc0 ls18 wsf">Turma: 2024<span class="ls19 ws0">/0</span>1 - Data de Entrega: 04 de abril de 2024 </div><div class="t m0 x0 h1 y4 ff1 fs0 fc0 sc0 ls18 wsf">Prof.: Vinicius Pie<span class="ls1a ws1">rri</span> <span class="blank"> </span> </div><div class="t m0 x0 h1 y5 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x1 h2 y6 ff2 fs0 fc0 sc0 ls18 wsf">Atividade EAD 01 <span class="ff3 ls0">\u2013</span> Funções </div><div class="t m0 x0 h1 y7 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h3 y8 ff4 fs0 fc0 sc0 lsd ws2">1.<span class="ff5 ls1 wsf"> <span class="ff1 ls18">Dada afunç<span class="blank _1"></span><span class="ls1b ws3">ão<span class="ls18 wsf">: <span class="blank _2"> </span><span class="ff6 ls2">\ued42<span class="ls3 v1">\udb80\udddb</span><span class="ls4">\ued54<span class="ls5 v1">\udb80\udddc</span></span></span><span class="ff7 ws4">=<span class="blank"> </span>1,5<span class="ff6 ws5">\ued54<span class="blank _3"> </span>\uf346<span class="blank"> </span></span><span class="wsf">3 </span></span></span></span></span></span></div><div class="t m0 x0 h1 y9 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x2 h4 ya ff1 fs0 fc0 sc0 ls1b ws6">a)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">calcule a raiz da função: </span></span></div><div class="t m0 x2 h4 yb ff1 fs0 fc0 sc0 ls18 ws7">b)<span class="ff8 ls7 wsf"> </span><span class="wsf">determine o ponto onde a reta cruza o eixo y: </span></div><div class="t m0 x2 h4 yc ff1 fs0 fc0 sc0 ls1b ws6">c)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">faça o gráfico. </span></span></div><div class="t m0 x0 h1 yd ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h5 ye ff4 fs0 fc0 sc0 lsd ws2">2.<span class="ff5 ls1 wsf"> <span class="ff1 ls18">Em <span class="blank _4"> </span>uma <span class="blank _4"> </span>empresa, <span class="blank _4"> </span>o<span class="blank _5"> </span> <span class="blank _4"> </span>custo <span class="blank _6"> </span>fixo <span class="blank _4"> </span>diário <span class="blank _6"> </span>da <span class="blank _4"> </span>produção <span class="blank _4"> </span>é <span class="blank _6"> </span>de <span class="blank _4"> </span>R$ <span class="blank _6"> </span>102,41 <span class="blank _4"> </span>além <span class="blank _6"> </span>do <span class="blank _4"> </span>custo <span class="blank _4"> </span>unit<span class="blank _5"> </span>ário <span class="blank _4"> </span>por </span></span></div><div class="t m0 x3 h1 yf ff1 fs0 fc0 sc0 ls18 wsf">produto <span class="blank _7"> </span>que <span class="blank _7"> </span>é <span class="blank _7"> </span>de <span class="blank _7"> </span>R$ <span class="blank _7"> </span>13,<span class="blank _5"> </span>59. <span class="blank _7"> </span>Sabendo <span class="blank _7"> </span>que <span class="blank _7"> </span>o <span class="blank _7"> </span>custo <span class="blank _7"> </span>tot<span class="blank _5"> </span>al <span class="blank _7"> </span>de <span class="blank _7"> </span>produção <span class="blank _7"> </span>é <span class="blank _7"> </span>a <span class="blank _7"> </span>soma <span class="blank _7"> </span>do <span class="blank _7"> </span>custo <span class="blank _8"> </span>fixo <span class="blank _7"> </span>com <span class="blank _7"> </span>o </div><div class="t m0 x3 h1 y10 ff1 fs0 fc0 sc0 ls18 wsf">custo variável, determine: </div><div class="t m0 x0 h1 y11 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x2 h4 y12 ff1 fs0 fc0 sc0 ls1b ws6">a)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">A lei da função que corresponde ao custo total da fabricação diária: </span></span></div><div class="t m0 x2 h4 y13 ff1 fs0 fc0 sc0 ls18 ws7">b)<span class="ff8 ls7 wsf"> </span><span class="wsf">Qual o custo total para produzir 25 produtos em um dia? </span></div><div class="t m0 x2 h4 y14 ff1 fs0 fc0 sc0 ls1b ws6">c)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">Quanto se pode produzir com R$ 578,06 em um dia?<span class="blank _5"> </span> </span></span></div><div class="t m0 x0 h1 y15 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h6 y16 ff4 fs0 fc0 sc0 lsd ws2">3.<span class="ff5 ls8 wsf"> <span class="ff1 ls18">Dada a<span class="blank _1"></span> função: <span class="blank _9"> </span><span class="ff6 ls2">\ued42<span class="ls3 v1">\udb80\udddb</span><span class="ls4">\ued54<span class="ls5 v1">\udb80\udddc</span><span class="ff7 ls9">=</span><span class="ls18 ws8">\uf346\ued54<span class="blank"> </span><span class="ff7 fs1 lsa v2">2</span><span class="ff7 ws9">+<span class="blank"> </span>2</span><span class="lsb">\ued54</span></span></span></span><span class="ff7">+<span class="blank"> </span>3 </span></span></span></div><div class="t m0 x4 h1 y17 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x2 h4 y18 ff1 fs0 fc0 sc0 ls1b ws6">a)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">calcule as raiz</span></span><span class="ws3">es<span class="ls18 wsf"> da função:<span class="blank _5"> </span> </span></span></div><div class="t m0 x2 h4 y19 ff1 fs0 fc0 sc0 ls18 ws7">b)<span class="ff8 ls7 wsf"> </span><span class="wsf">determine o ponto onde a parábola cruza o eixo y: </span></div><div class="t m0 x2 h4 y1a ff1 fs0 fc0 sc0 ls1b ws6">c)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">calcule o vértice: </span></span></div><div class="t m0 x2 h4 y1b ff1 fs0 fc0 sc0 ls18 ws7">d)<span class="ff8 ls7 wsf"> </span><span class="wsf">faça o gráfico. </span></div><div class="t m0 x4 h1 y1c ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h4 y1d ff2 fs0 fc0 sc0 ls18 ws7">4.<span class="ff5 lsc wsf"> <span class="ff1 ls18">Um <span class="blank _a"> </span>empresário <span class="blank _8"> </span>está <span class="blank _a"> </span>ava<span class="blank _5"> </span>liando <span class="blank _a"> </span>seu <span class="blank _a"> </span>lucro <span class="blank _a"> </span>diário <span class="blank _a"> </span>(</span></span><span class="lsd">L</span><span class="ff1 wsf">) <span class="blank _8"> </span>com <span class="blank _a"> </span>base <span class="blank _a"> </span>em <span class="blank _a"> </span>quantos <span class="blank _a"> </span>produtos <span class="blank _a"> </span>(</span><span class="lse">p</span><span class="ff1 wsf">) <span class="blank _a"> </span>ele <span class="blank _8"> </span>vende. </span></div><div class="t m0 x2 h6 y1e ff1 fs0 fc0 sc0 ls18 wsf">Sabendo <span class="blank _6"> </span>que<span class="blank _5"> </span> <span class="blank _b"> </span>seu <span class="blank _b"> </span>lucro <span class="blank _b"> </span>diário <span class="blank _b"> </span>é <span class="blank _b"> </span>calculado <span class="blank _b"> </span>com <span class="blank _b"> </span>base <span class="blank _b"> </span>da <span class="blank _b"> </span>função <span class="blank _b"> </span><span class="ff6 lsf">\ued2e<span class="ls3 v1">\udb80\udddb</span><span class="ls10">\ued4c<span class="ls5 v1">\udb80\udddc</span><span class="ff7 ls9">=</span><span class="lsd">\uf346<span class="ff7 ls1b wsa">100</span><span class="ls11">\ued4c<span class="ff7 fs1 ls12 v2">2</span></span></span></span></span><span class="ff7 wsb">+<span class="blank"> </span>8<span class="ls1b wsa">00</span><span class="ff6 ws5">\ued4c<span class="blank _3"> </span>\uf346<span class="blank"> </span></span><span class="wsc">7<span class="ls1b wsa">00</span></span></span><span class="ls1c">, </span></div><div class="t m0 x2 h1 y1f ff1 fs0 fc0 sc0 ls18 wsf">Determine: </div><div class="t m0 x4 h1 y20 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x2 h4 y21 ff1 fs0 fc0 sc0 ls1b ws6">a)<span class="ff8 ls6 wsf"> <span class="ff1 ls18">Quantos produtos ele deve vender ao dia para obter lucro máximo? </span></span></div><div class="t m0 x2 h4 y22 ff1 fs0 fc0 sc0 ls18 ws7">b)<span class="ff8 ls7 wsf"> </span><span class="wsf">Qual o seu lucro máximo diário? </span></div><div class="t m0 x0 h1 y23 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y24 ff1 fs0 fc0 sc0 ls18 wsf">5. <span class="blank _6"> </span>O <span class="blank _6"> </span>preço <span class="blank _6"> </span>de <span class="blank _6"> </span>v<span class="blank _5"> </span>enda <span class="blank _6"> </span>de <span class="blank _6"> </span>u<span class="blank _5"> </span>m <span class="blank _6"> </span>produto <span class="blank _6"> </span>de <span class="blank _6"> </span>um <span class="blank _6"> </span>fab<span class="blank _5"> </span>ricante <span class="blank _6"> </span>é <span class="blank _6"> </span>de <span class="blank _6"> </span>R$ <span class="blank _b"> </span>3.200,00. <span class="blank _6"> </span>Sabendo <span class="blank _6"> </span>que <span class="blank _6"> </span>o <span class="blank _6"> </span>custo <span class="blank _6"> </span>da </div><div class="t m0 x2 h6 y25 ff1 fs0 fc0 sc0 ls18 wsf">produção total semanal <span class="ls1b">é </span>definida pela função <span class="ff6 ls13">\ued25<span class="ls3 v1">\udb80\udddb</span><span class="ls4">\ued54<span class="ls14 v1">\udb80\udddc</span><span class="ff7 ls15">=<span class="ls1b wsa">100</span></span><span class="ls16">\ued54<span class="ff7 fs1 lsa v2">2</span><span class="ff7 ls17">+<span class="ls1b wsa">1200<span class="blank _5"> </span></span></span><span class="lsb">\ued54<span class="ff7 ls17">+<span class="ls1b wsd">1900</span></span></span></span></span></span>. De<span class="blank _5"> </span>termine: </div><div class="t m0 x0 h1 y26 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x2 h1 y27 ff1 fs0 fc0 sc0 ls1b ws6">a)<span class="ls18 wsf"> <span class="blank _c"> </span>Qual a Lei da função receita? </span></div><div class="t m0 x2 h1 y28 ff1 fs0 fc0 sc0 ls18 wsf">b) <span class="blank _d"> </span>Qual a Lei da função lucro? (sabendo que: Lucro = (vendas <span class="ff9 wse">\u2013</span> custos) </div><div class="t m0 x2 h1 y29 ff1 fs0 fc0 sc0 ls1b ws6">c)<span class="ls18 wsf"> <span class="blank _c"> </span>Quantas <span class="blank _7"> </span>unidad<span class="blank _5"> </span>es <span class="blank _7"> </span>dev<span class="blank _5"> </span>em <span class="blank _7"> </span>ser <span class="blank _8"> </span>produz<span class="blank _5"> </span>idas <span class="blank _8"> </span>e <span class="blank _7"> </span>vendidas <span class="blank _8"> </span>semanalmente, <span class="blank _8"> </span>de <span class="blank _8"> </span>modo <span class="blank _8"> </span>que <span class="blank _7"> </span>se<span class="blank _5"> </span> <span class="blank _7"> </span>obtenha<span class="blank _5"> </span> <span class="blank _8"> </span>o </span></div><div class="t m0 x5 h1 y2a ff1 fs0 fc0 sc0 ls18 wsf">lucro máximo? </div><div class="t m0 x2 h1 y2b ff1 fs0 fc0 sc0 ls18 wsf">d) <span class="blank _d"> </span>Se <span class="blank _4"> </span>ele <span class="blank _6"> </span>vender <span class="blank _6"> </span>tudo <span class="blank _6"> </span>que <span class="blank _6"> </span>produzir <span class="blank _6"> </span>na <span class="blank _4"> </span>seman<span class="blank _5"> </span>a, <span class="blank _4"> </span>qu<span class="blank _5"> </span>al <span class="blank _4"> </span>o <span class="blank _6"> </span>lucro <span class="blank _6"> </span>máximo <span class="blank _6"> </span>que <span class="blank _6"> </span>este <span class="blank _6"> </span>fabricante <span class="blank _4"> </span>pode<span class="blank _5"> </span> </div><div class="t m0 x5 h1 y2c ff1 fs0 fc0 sc0 ls18 wsf">atingir? </div><div class="t m0 x2 h1 y2d ff1 fs0 fc0 sc0 ls18 wsf">e) <span class="blank _c"> </span>Demonstre o gráfico da<span class="blank _1"></span> função lucro: </div><div class="t m0 x0 h1 y2e ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y2f ff1 fs0 fc0 sc0 ls18 wsf"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><div class="t m0 x0 h1 y30 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y31 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y32 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y33 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y34 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y35 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y36 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y37 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y38 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y39 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y3a ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y3b ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y3c ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y3d ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y3e ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y3f ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y40 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y41 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y42 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y43 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y44 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y16 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y45 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y46 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y47 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y48 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y49 ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y4a ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y4b ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x0 h1 y4c ff1 fs0 fc0 sc0 ls18 wsf"> </div><div class="t m0 x6 h2 y4d ff2 fs0 fc0 sc0 ls18 wsf">Gabarito: </div><div class="t m0 x7 h7 y4e ff1 fs2 fc0 sc0 ls18 wsf"> </div><div class="t m0 x8 h8 y4f ffa fs2 fc0 sc0 ls1f ws10">1.<span class="ff8 ls1d wsf"> <span class="ffa ls18">a) (2,0); </span></span></div><div class="t m0 x7 h8 y50 ffa fs2 fc0 sc0 ls18 wsf">b) (0,-<span class="ls1f ws10">3)</span>; </div><div class="t m0 x7 h8 y51 ffa fs2 fc0 sc0 ls18 wsf">c) (gráfico). </div><div class="t m0 x8 h8 y52 ffa fs2 fc0 sc0 ls1f ws10">2.<span class="ff8 ls1d wsf"> <span class="ffa ls18">a) f(x) = 13,59x <span class="ls20">+ <span class="blank _5"> </span></span>102,41;<span class="blank _5"> </span> </span></span></div><div class="t m0 x7 h8 y53 ffa fs2 fc0 sc0 ls18 wsf">b) R$ 442,16;<span class="blank _5"> </span> </div><div class="t m0 x7 h8 y54 ffa fs2 fc0 sc0 ls18 wsf">c) 35 produtos.<span class="blank _5"> </span> </div><div class="t m0 x8 h8 y55 ffa fs2 fc0 sc0 ls1f ws10">3.<span class="ff8 ls1d wsf"> <span class="ffa ls18">a) (-1,0) e (3,0);<span class="blank _5"> </span> </span></span></div><div class="t m0 x7 h8 y56 ffa fs2 fc0 sc0 ls18 wsf">b) (0, 3); </div><div class="t m0 x7 h8 y57 ffa fs2 fc0 sc0 ls21 wsf">c) <span class="ls18">(1,4); </span></div><div class="t m0 x7 h8 y58 ffa fs2 fc0 sc0 ls18 wsf">d) (gráfico). </div><div class="t m0 x8 h8 y59 ffa fs2 fc0 sc0 ls1f ws10">4.<span class="ff8 ls1d wsf"> <span class="ffa ls18">a) 4 produto<span class="blank _5"> </span>s; </span></span></div><div class="t m0 x8 h8 y5a ffa fs2 fc0 sc0 ls1f ws10">5.<span class="ff8 ls1d wsf"> <span class="ffa ls18">b) R$</span></span>900<span class="ls18 wsf">,00. </span></div><div class="t m0 x8 h8 y5b ffa fs2 fc0 sc0 ls1f ws10">6.<span class="ff8 ls1d wsf"> <span class="ffa ls18">a) R (x) = 3200,00x<span class="blank _5"> </span>; </span></span></div><div class="t m0 x7 h9 y5c ffa fs2 fc0 sc0 ls18 wsf">b) L (x) = -100x<span class="fs3 ls1e v3">2</span><span class="ws11">+2000x-<span class="blank _5"> </span><span class="ls1f ws10">1900</span></span>. </div><div class="t m0 x7 h8 y5d ffa fs2 fc0 sc0 ls18 wsf">c) 10 produtos;<span class="blank _5"> </span> </div><div class="t m0 x7 h8 y5e ffa fs2 fc0 sc0 ls18 wsf">d) R$8.100,00;<span class="blank _5"> </span> </div><div class="t m0 x7 h8 y5f ffa fs2 fc0 sc0 ls18 wsf">e) (gráfico). </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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