微观习题及答案(新)

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262
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29D.qrᑭo2.UVstu⌕EᡠvwḄᡂ`A.jᡂB.◚ᡂC.xᡂD.yzᡂ3.MC{ᑮᨬ}A.MPᨬᜧB.AVCᨬCC.TCᨬᜧD.ACᨬC4.ᙠLACOHᩩSAC'ᑗḄᨵA.'ḄLMCSMC'B.LAC{ᑮᨬC.'ḄLTCSTC'ᑗD.LMC{ᑮᨬ5.i▭ef⌴▤STCA.7⌴Ḅ᳛ᓣB.7⌴Ḅ᳛=C.7⌴Ḅ᳛=D.7⌴Ḅ᳛ᓣ6.ᙠLACᨬA.LACLMC'B.⊤ᨬḄSAC,*LACLMCḄC.⊤ᨬḄSMC,*LACLMCḄD.⊤ᨬḄSMC,*⊤ᨬḄSACḄᨬ7.ᡂᦪC=f(Q)⊤ḄA.\HᡂᙠHḄ:⌕EᨬᜧstḄᐵB.ᡂḄᐵC.ᡂḄᓄ;ᓄD.ḼᡂḄᓄ;ᓄ8.SACUᱯ¢Ḅ£¤ᙠiA.MU⌴¥B.lmlmC.▭ef⌴¥D.#¦9.§ᙳxᡂA.©\ª§«u¬ᓄ5B.®;®C.UḄD.7510.T£\«Ḅ¯ᙠTC'ᑗḄᨵA.AVCᨬCB.MC=AC

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32;ஹ⌱O⚪'ᐳ15)*⚪P123456789101112131415QᫀBDAAACAABCDBCcDBCcBCABCBCDBCSஹᑨU⚪'ᐳ11)*⚪P1234567891011QᫀXXXXXXVXVXXVஹWXᭆZ'ᐳ5)*1.[\ᡂ2.◚ᡂ3.`aᑭc4.JKᑭc5.E▭ᡂdஹef⚪'ᐳ6)*1.Ꮇh;ᡂᦪ@TC=Q3-10Q2+17Q+66,ᑏj"kḄᡂᦪlTVCஹACஹAVCஹAFCMC஺WQlTVC=Q3-10Q2+17QAC=TC/Q=Q2-1OQ+17+66/QAVC=TVC/Q=Q2-1OQ+17AFC=TFC/Q=66/QMC=—=3Q2-20Q+17dQ2.mnopqḄᡂᦪ@lSTC=O.8Q3-16Q2+100Q+50,rᨬtḄuᙳwᡂx஺WQlyAVC'=0zAVCᨬtAVC=0.8Q2-16Q+100ᑣ1.6Q-16=0Q=10AVC=203.mnopqḄ|ᡂᦪ@lSTC=0.04Q3-0.8Q2+10Q+5,rᨬtḄuᙳwᡂx!"kḄE▭ᡂx஺WQlyAVC=SMCz7AVCᨬtAVC=0.04Q2-0.8Q+10SMC==0.12Q2-1.6Q+10dQ0.04Q2-0.8Q+10=0.12Q2-1.6Q+10Q=10AVC=SMC=64.o}~ᵨ)ᔆ>;7ᐸ|ᡂᦪ@C=2Q/-Q22-Q1Q2,ᐸQ1⊤;)ᔆḄ7Q2⊤S)ᔆḄ஺r:y}~Ḅ@40z}~ᡂᨬtḄᔆḄᔠ஺WQly;)ᔆᖪᵨ)ᔆ>;z7)ᔆḄE

33▭ᡂ"7ᓽMCI=MC2,ᡂᨬtḄᔠ஺QC8C^C,=—=*MC=-=202-2,24Qi-Q2=2Q2-QiQi=3/5Q2জ¡QI+Q2=40ঝ§জ¨ঝ¨ὶªQi=15Q=252J_L5.mnoᔆᖪḄᦪ@஺=A4Z/K"ᔜ⌕Ḅ®¯ᑖ±@4=1,PL=1PK=2Ꮇhᔆᖪᜐ³7´4=16஺rl(1)|ᡂᦪuᙳᡂᦪµ(2)|wᡂᦪuᙳwᡂᦪµ(3)E▭ᡂᦪ஺WQl!_L1(1)ᵫ஺=4K5ᓈ=16wᦪIIQ=4A“"³¸ᨵMP.=º=»"dAMP=º=A,½LLdLᵫὅᙳ⊝ḄᩩÁ"=ÂÃᓃ=PA=1wPLPAI_3_31A4L4_A~4L4-i—-—r~᦮ᳮwA-LᵫQ=4A4//A=Lw஺=4஻0-³¸A=L=—o16ÊᔆᖪḄᡂᦪ@STC(Q)=PA+PL+PKALK

34STCQ=1x0-+1x—+2x16v71616STCQ=—+328uᙳᡂᦪ@lSAC!L"#(2)|wᡂᦪ@l7¥஺(஺)="8uᙳwᡂᦪ@lAVC(Q)=28(3)E▭ᡂᦪ@lSMC(Q)=6.mnoᔆᖪḄᦪ@l஺=0.5ÍK%,yÎᢗᐭK=50zÎḄ|®¯@500µÑḄ®¯PL=5,rl(1)ÑḄᢗᐭᦪL=L(Q)µ(2)|ᡂᦪஹuᙳᡂᦪE▭ᡂᦪµ(3)yḄ®¯P=100z7ᔆᖪÒᨬᜧᑭcḄᑭcᔜ¸ÔÕWQl᪷×⚪Øwn7⚪¸ÙÚrWᡂᨬtᓄᩩÁÜḄᨬÝ⌕ᔠ7ᑮ"kḄᡂᦪ7Iß;àrᨬᜧᑭc஺(1)yK=50z7Î|®¯@500,ᑣP=10K᪷×ᡂᨬtᓄḄᙳ⊝ᩩÁá="MPKPKMP^-=-L^K^MPLKLdL6KdL3᦮ᳮK=L§L=Kâᐭᦪ7Q=0.5L%K%=0.5L%L%=0.5LᑣÑḄᢗᐭᦪL(Q)=2Q(2)§ÑḄᢗᐭᦪâᐭᡂᦪC=5L+10K,ᑣ|ᡂᦪSTC(Q)=10Q+500uᙳᡂᦪAC(Q)=10+500/QE▭ᡂᦪSMC(Q)=10

35'3*ᵫ'1*wnL=K,¡K=50,ᦑL=K=50,âᐭᦪQ=25ᡠéᡂᨬtᓄḄᨬÝ⌕ᔠ@'50,50*,ᨬÝ@25,yḄ®¯P=100z;ᵫᑭc}¨wrjᨬᜧᑭc஺ᑭc=|ᦈì-|ᡂ=î'^^஺+îH□='100><25*-'5X50+500*=1750ᑭcᨬᜧᓄḄ@25,ᨬᜧᑭc@1750஺õஹQ⚪'ᐳ3)*1.⌕ᑖ᪆yMCÜ÷z7⌕'᝞Ñ*ᢗᐭ¸ᔲᙠᔠᳮḄᑁWQl'1*»ᙠ஺'2*MCMPúᙠûkᐵ7yMCÜ÷z7MPüᓣµ'3*ᔆᖪḄᔠᳮᢗᐭᙠMPḄÜ÷þµ'4*ᡠé7MCÜ÷z7⌕ᢗᐭ»ᙠᔠᳮḄᑁ஺2.ᦪᡂᦪḄᐵ஺WQl'1*E▭ᡂE▭Ḅûkᐵ஺'2*||ᡂஹ|wᡂḄûkᐵ஺'3*uᙳwᡂuᙳḄûkᐵ஺3.SACஹAVCMCḄᐵ஺1ᕈUᐜ!"ᓣ஺2ᐵSAC&SMCḄᐵ'AVC&SMCḄᐵ஺(ஹ)*⚪ᐳ3.1./ᵨ12345678ᦪ&45ᡂ;8ᦪ<=Ḅᐵ஺1>▭ᡂ;&>▭7@<=ḄABᐵ஺2C7@&Cᡂ;CDᡂ;<=ḄABᐵ஺3EᙳDᡂ;&Eᙳ7@<=ḄABᐵ஺41ᶍ஺2.SACLACᕈUᱯM஺NOPQRSᱯMḄTUVᔩXYZ[X1\V஺2SACᕈUḄTU]>▭^_⌴abcḄdᵨ஺3LACᕈUḄTU]befgbe\fgḄdᵨ஺3./h1i45>▭ᡂ;jPk5>▭ᡂ;l23k5>▭ᡂ;Ḅfgmn஺1h1ljP'2k5>▭ᡂ;Ḅfgmn஺o(pqᐰstuvSஹ⌱x⚪ᐳ11.1.yz{|}~ᔠqᐰstuvᩩA.ᵯ|}B.|}

36C.|}D.᳝|}2.qᐰstᔆᖪᑮ45ᙳ⊝A.P>SACB.P=SACC.PMCḄ¢£YᨬᜧB.MR=MCC.P>ACḄ¢£YᨬᜧD.TR>TCḄ¢£Yᨬᜧ5.ᔆᖪḄᦈ¥¦§]ᢣA.SACARᑗ<§B.SMCAVCᑗ<§C.SMCSACª<§D.SACARª<§6.ᦈ«]ᢣA.ᡂ;B.ᑭ¡C.ᡂ;¬ᑭ¡D.ᔆᖪ├®ᦈᐭ7.°qᐰst|}Ḅk5±²ᔣ´"µ¶·¸|}]A.ᡂ;\|}B.ᡂ;⌴a|}C.ᡂ;⌴¹|}D."*º»A8.qᐰstᔆᖪḄ45±²B¸]A.SMC"¼½¾¿⃩}§ḄÁᑖB.SMC"¼½ᦈ¥¦§ḄÁᑖC.SMC"Ḅ¾¿⃩}§&¼½¾¿⃩}§y"ḄÁᑖD.SMC"Ḅᦈ¥¦§&¼½ᦈ¥¦§y"ḄÁᑖ9.ðqᐰstᔆᖪḄ7@Y9MC=AC=AR=8ᐗᑣ¸ᔆᖪA.ÆÇÈᨵᨬᜧᑭ¡B.ÆÇÉÊËÌᑭ¡

37C.ÆÇÍᨬÎᑭ¡D.Êᑭ¡ḄÏÐ\ÑÇ10.Ò67⌕ÔḄᦪ@ᢥVµᔣᓄᑣ¸|}]A.ᡂ;\|}B.ᡂ;⌴a|}C.ᡂ;⌴¹|}D.\ÑÇ×ஹᑨ⚪ᐳ19.1.AÙÚÛᔆᖪᩭ2ᙠk5ᙳ⊝ÞᯠàáTR>TC஺2.uvstâãḄäå]æçfgèᑜᑖuvêëḄ᪗í஺3.qᐰstᔆᖪÉîᙢðÇḄuv஺4.qᐰstuvᐕòóôõᵫ÷஺5.qᐰstø}ᙠ45ᙳ⊝àáfgᑭ¡ᨬᜧᓄ஺6.qᐰstᩩᔆᖪḄ◤ú]SᩩûE஺7.qᐰstᔆᖪḄ45±²]45>▭ᡂ;"üÙ&ýÙ¾¿⃩}§ḄÁᑖ஺8.qᐰstᔆᖪḄEᙳᦈ«&>▭ᦈ«◤ú]VḄ஺9.Òø}fgᑭ¡Yþÿᦈ஺10.ᑭᑣᑭ஺11.ὅḄ᪗ᨬᜧᓄ஺12.ᐰ!"ᔆᖪ%&'(ᙳ⊝+,ᑭ஺13.ᐰ!"-(ᙳ⊝+,ᑁ/01%&2ᑭ,3ᑭ14஺14.ᙠᔆᖪ'(ᙳ⊝6,ARAVC,ᑣᔆᖪ89,7:;<஺15.ᙠᐰ!"=>6,SMC?@AAVC?@ḄBC,DEᦈC஺16.ᐰ!"ᔆᖪ%&'(ᙳ⊝+,SMC?@FAVC?@ḄBCEGH⃩C஺17.ᙠᐰ!"ᩩKL,MNOPQRᙳᦈSTPQU▭ᦈS஺18.Wᔆᖪ6X+,MR=80ᐗ,MC=55ᐗ,Zᐸ\ᩩK]^ᔆᖪ:;<᡽ᜧ஺19.0ᐰ!"Ḅ-(`a?@^b/0ᔆᖪ`a?@ḄcRd஺eஹghᭆjZᐳ0]1.ᐰ!"=>2.GH⃩C3.nᦈS4.RᙳᦈS

385.U▭ᦈS6.ᦈCoஹpq⚪Zᐳ40]1.tuWᐰ!"bḄᓫ0ᔆᖪḄ'(ᡂxyᦪSTC=0.1Q3-2Q2+15Q+10O{|}Z1]=>6MḄNOP=55+,ᔆᖪḄ'(ᙳ⊝AᑭZ2]=>NOL+,ᔆᖪGZ3]ᔆᖪḄ'(`ayᦪ஺2.ᙠᡂx,Wᐰ!"ᔆᖪ-(nᡂxyᦪ}LTC=Q3-12Q2+40Q|}ᔆᖪ-(ᙳ⊝Aᙳ⊝NO஺o3.Wᐰ!"ᔆᖪḄ'(U▭ᡂxyᦪSMCR.6QT0,nᦈSyᦪTR=38Q,3tuQ=20+ḄnᡂxSTC=260.|^ᔆᖪᑭᨬᜧᓄ+ḄAᑭ4.tuWᐰ!"=>Ḅ◤|yᦪDD=6300-400P,'(=>`ayᦪSS=3000+150P,|=>Ḅ'(ᙳ⊝NOAᙳ⊝஺ஹ⚪Zᐳ40]1.¡¢᪆%&ᨬᜧᑭḄᙳ⊝ᩩK஺2.ᐰ!"ᩩKL,ᔆᖪ%&-(ᙳ⊝+ḄNO¤¥¦¢§ᢝᙠᜧQᨬ©ḄLACcR63.᪆ᐰ!"ᔆᖪḄ◤|?@ஹRᙳᦈS?@AU▭ᦈS?@Ḅᱯ¬ᐵ¯஺4.°ᐰ!"ᔆᖪḄ-(ᙳ⊝஺±ஹ²°⚪Zᐳ50]1.{°ᐰ!"ᔆᖪḄ'(ᙳ⊝஺2.{°ᔆᖪ%&ᨬᜧᑭḄ³ᑣ஺3.´µᐰ!"ᔆᖪḄ'(`a?@஺4.{°ᐰ!"ᔆᖪḄ-(ᙳ⊝஺5.²°ᐰ!"Ḅ-(`a?@஺⚪ᫀஹ⌱·⚪Zᐳ110]⚪¸12345678910CDᫀABACDccBcD

39ºஹᑨ¼⚪Zᐳ190]⚪¸12345678910ᫀXVVVVVVVVV⚪¸111213141516171819ᫀXXVXVVVXeஹghᭆjZᐳ0]1.ᐰ!"=>}=>6ᨵᜧḄ¾ὅAᓬὅ,=>6/0ᔆᖪÀ`ḄᖪM1ᐰÁÂḄஹᡠᨵḄÄÅᐹᨵᐰḄÇÈឋஹÊËᐰḄ,Ì᪵Ḅ=>Eᐰ!"=>஺2.GH⃩C}ᔆᖪ◤|?@FRᙳÎᡂx?@ḄᑗC஺3.nᦈS}ᔆᖪᢥḄNOÑÒḄM+ᡠḄᐰÓᦈᐭ஺4.RᙳᦈS}ᔆᖪᙠRᙳ/ᓫÕM├Ò6ᡠḄᦈᐭ஺5.U▭ᦈS}ᔆᖪ×dᓫÕM├ÒᡠḄnᦈSḄ×஺6.ᦈC}ᔆᖪ◤|?@FRᙳᡂx?@ḄᑗC஺oஹpq⚪Zᐳ40]1.tuWᐰ!"bḄᓫ0ᔆᖪḄ'(ᡂxyᦪSTC=0.1Q3-2Q2+15Q+10O{|}Z1]=>6MḄNOP=55+,ᔆᖪḄ'(ᙳ⊝AᑭZ2=>NOL+,ᔆᖪGZ3ᔆᖪḄ'(`ayᦪ஺g}
1ØSTC=0.1Q3-2Q2+15Q+10ᡠ¢SMC==0.3Q3-4Q+l5dQ᪷Úᐰ!"ᔆᖪ%&ᑭᨬᜧᓄ³ᑣP=SMC,3tuP=55,Qᨵ}0.3Q2-4Q+15=55᦮ᳮ}0.3Q2-4Q-40=0gᑭᨬᜧᓄḄQ*=20ZÝÞßà2]¢Q*=20áᐭᑭPâᨵ}=TR-STC=PQ-STC=
55X20-
0.1X203-2X202+15X20+10=1100-310=790ᓽᔆᖪ'(ᙳ⊝ḄQ*=20,ᑭ"=790

40(2)=>NOLP©QRᙳÎᡂxAVCᓽPNOP5+,ᔆᖪG஺(3)᪷Úᐰᔆᖪ'(%&ᑭᨬᜧᓄ³ᑣP=SMC,ᨵ}0.3Q2-4Q+15=p᦮ᳮ0.3Q2-4Q+(15-P)=0g0=ᒹὡ0.6᪷ÚᑭᨬᜧᓄḄº▤ᩩKMR'YMC'Ḅ⌕|,ñg}ò4+J1.2ó—2Q=-----------------0.6ὃ⇋ᑮ^ᔆᖪᙠ'(øᨵᙠP»5+ù,äP<5+úG,ᡠ¢,^ᔆᖪḄ'(`ayᦪQ=f(P)}—ýNs0.6Q=0P<52.ᙠᡂx,Wᐰ!"ᔆᖪ-(nᡂxyᦪ}LTC=Q3-12Q2+40Qo|}ᔆᖪ-(ᙳ⊝Aᙳ⊝NO஺g}ᵫtuḄLTCyᦪ,Î}LAC(Q)=P=஺ÿ2+4003+40

41^dLAC(Q)-0,ᓽᨵ:dQ|9=20—12=0,Q=6ᐳ1=2஺dQQ=6ᡠQ=6ᙳᡂᨬᓄḄ஺Q=6ᐭLAC(Q),ᙳᡂḄᨬLAC=62-12X6+40=4ᵫᐰ"#$%ᙳ⊝'Ḅ()*ᔆᖪḄᨬḄᙳᡂ-ᡠ-.$%ᙳ⊝'Ḅ()P=4,ᓫ0ᔆᖪḄ12Q=6஺3.3ᐰ"#ᔆᖪḄ45▭ᡂ7ᦪSMC=0.6QT0,9ᦈ;7ᦪTR=38Q,<=>12Q=20'Ḅ9ᡂSTC=260.?.ᔆᖪᑭAᨬᜧᓄ'Ḅ12CᑭADᵫEᐰ"#ᔆᖪᩭG-ᨵP=AR=MRAR=TR(Q)/Q=38,MR=dTR(Q)/dQ=38ᡠP=38᪷Iᐰ"#ᔆᖪᑭAᨬᜧᓄḄJᑣMC=P0.6Q-10=38Q*=80ᓽᑭAᨬᜧᓄ'Ḅ12L᪷I9ᡂ7ᦪM5▭ᡂ7ᦪNOḄᐵQSTC(Q)=0.3Q2-10Q+C=0.3Q2-10Q+TFCQ=20'STC=260RST-?TFC,ᨵ260=0.3*400-10*20+TFCTFC=340-ᑮSTC7ᦪSTC(Q)=0.3Q2-10Q+340ᨬV-ᑭAᨬᜧᓄḄ1280RᑭA7ᦪ-ᨵm(Q)=TR(Q)-STC(Q)=38Q-(0.3Q2-10Q+340)=38*80-(0.3*8()2-10*80+340)

42=3040-1460=1580ᓽᑭAᨬᜧᓄ'-1280,ᑭA15804.<=3ᐰ"#WXḄ◤?7ᦪDD=6300-400P,4WXZ[7ᦪSS=3000+150P,?WXḄ4ᙳ⊝()Cᙳ⊝12஺D\IDD=SS<=DD=6300-400P,SS=3000+150PW6300-400P=3000+150P,P=6ᡠ4ᙳ⊝()P=6]P=6ᐭDD=6300-400P,DD=3900ᙳ⊝12DD=SS=3900^ஹ`D⚪bᐳ40c1.`⌕ᑖ᪆ᔆᖪghᨬᜧᑭAḄᙳ⊝ᩩj஺Dᙳ⊝ᩩjMR=SMCᔆᖪghᨬᜧᑭAḄᙳ⊝ᩩj஺Jk>ᔆᖪḄ5▭ᦈ;ᜧ5▭ᡂ-ᓽMR>SMC,⊤mᔆᖪnopᓫq12ᡠrᩭḄ9ᦈ;Ḅno2ᜧᡠstḄ9ᡂḄno2-ᔆᖪno12-uvᑭAno஺wN->ᔆᖪḄ5▭ᦈ;5▭ᡂ-ᓽᨵMR

43ᦪ2ḄᖪÆ஺ᵫᙠÇp0├Â2S-XSḄ├Â()È·|ÉḄ-ÊᯠᨵᔆᖪḄ5▭ᦈ;*ᙳᦈ;-*WX()-ᓽMR=AR=P஺ᡠ-ᔆᖪḄᙳᦈ;³´ஹ5▭ᦈ;³´pᩩ´஺Ì஺2ᐵQ஺ᐰ"#ᔆᖪḄ/γ´ᱥ³´C◤?³´dдÑÒ-ÓÔᵨÖp´d⊤¼஺4.`×ᐰ"#ᔆᖪḄᙳ⊝஺D1ᙳ⊝ØÙ஺ᔆᖪ°᦮¢1ÚÛஹªᐭᡈ⌨tp0$%஺
2ᙳ⊝bÌc஺LAC³´ᨬÜ
3ᙳ⊝ᩩj஺MR=LMC=SMC=LAC=SAC4ᙳ⊝ÝÞ஺ᐔ=0
5ᙳ⊝ᦔ᳛஺P=ᨬÜḄLAC,P=LMCâஹ{×⚪bᐳ50c1.ã×ᐰ"#ᔆᖪḄ4ᙳ⊝஺D1ᙳ⊝ØÙ஺ᙠᐰ"#ᔆᖪḄ4¢1§-WXḄ()[·Ḅ-¢1ÚÛ¯[·Ḅ஺kä-ᙠ4-ᔆᖪᙠ[·Ḅ¢1ÚÛ-åØE12C()Ḅ°᦮ᩭghMR=SMCḄᑭAᨬᜧᓄḄᙳ⊝ᩩj஺2ᙳ⊝ᩩj஺ᐰ"#ᔆᖪ4ᙳ⊝ḄᩩjMR=SMCo|}no12-~xy12-ᔆᖪᙠrᩭᨬᜧᑭAḄᙳ⊝12-0ᙳ⊝12vMR=SMCḄ12஺ᡠ-5▭ᦈ;*5▭12ᔆᖪghᑭAᨬᜧᓄḄᙳ⊝ᩩj஺3ᙳ⊝bÌc஺ᙳ⊝thᙠ5▭ᦈ;³´C5▭ᡂ³´Ḅæ-Cᙳ⊝çEèḄ12[ᔆᖪrᩭᨬᜧᑭAḄ12஺4ᙳ⊝ÝÞ஺4ᙳ⊝'-ᔆᖪḄᑭAuᜧ²-¯u*²-ᡈὅ²஺ᔆᖪḄ4ᙳ⊝uᑖ^ÝÞêpÝÞAR>SAC,ᔆᖪ¡ᑭA஺êëÝÞAR-SAC,ᔆᖪḄᑭA²-ì¡ᐰíḄîïᑭA஺SMCCÊ஺³´ḄæᔆᖪḄᦈðçñ஺êÐÝÞAVC⌱@ᨬAḄBCDE▭ᦈGHE▭ᡂᓽJkKLMNᔆᖪ()ᨬᜧᑭ-Ḅᙳ⊝ᩩ6஺

44(2)RSᑖ᪆R஺᝞RᡠXYᔆᖪḄE▭ᦈᜧHE▭ᡂᓽMR>SMC,⊤Jᔆᖪ[\]ᓫ_Bᡠ`ᩭḄbᦈḄ[\BᜧHᡠcdḄbᡂḄ[\Bᔆᖪ[\BeCᑭ-[\஺fgYᔆᖪḄE▭ᦈhHE▭ᡂᓽᨵMRᙳ⊝ᩩ6ᵨᦪx{yJ஺ᔆᖪḄᑭ-|}~n(Q)=TR(Q)-TC(Q)d._dTR(Q)dTC(Q)dQ-dQdQ-=MR(Q)-MC(Q)=0ᓽMR(Q)=MC(Q)(4)J஺ᔆᖪ=᪷MR(Q)=MC(Q)Ḅ.ᑣᩭᨬAḄBe()ᨬᜧḄᑭ-஺ᔆᖪ⌕()%,▬\'Ḅᙳ⊝ᩩ6#nNᑭoNᔆᖪᜐHᵫḄᦈᡂᡠrḄᨬḄlg஺ᦑḄ"h~ᑭ-ᨬᜧᡈᨬhḄᙳ⊝ᩩ6஺ᔆᖪ()ᨬᜧᑭ-Ḅ,Ḅᙳ⊝ᩩ6ᔜᩩ69ḄᔆᖪN〉ᵨḄ஺3.JᐰᔆᖪḄ:;¡¢£¤஺011ஹ᪀ᡂ஺ᐰᔆᖪḄ:;¡¢£¤MNSMC£¤§ᜧHGfAVC£¤ᨬ¨
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2ᡂ⌴UḄᱯஹ!"ஹ#஺ḄᔣOV=PQ஺*⊤,ᙠḄNRᡂX=ᔣḄS஺89◤ḄAH:;ᙳ⊝X=ᔣST;ᙳ⊝Ḅ<=ᔣᓄ஺#஺YZ[\ᐰ^_Ḅ89&ஹ⌱a⚪Bᐳ15dC1.ᐵ3ᚘgᔆᖪḄᦈij◤ḄᐵkḄlmnoᨵA.ᚘgᔆᖪḄ)ᙳᦈiARq%23ᖪNḄP,ᦑᚘgᔆᖪḄ)ᙳᦈiARR◤dstB.ᚘgᔆᖪḄ)ᙳᦈiARR◤duᔣOV=PQC.ᚘgᔆᖪḄឋḄ◤dRw▭ᦈiMRḄyz{%|2ḄD.}ᚘgᔆᖪḄ◤d~w▭ᦈiMRḄz{%dz{Ḅ&ᓽMR)ᑖᵫyᑮ◤dḄ--ᩩ()2.ᚘgᔆᖪᙳ⊝A.q%ᨬᜧᑭḄB.ᨬᜧᑭᑭ~ℳᨬC.AR>AVC,ᚘgᔆᖪD.ARVAVC,ᚘgᔆᖪᑣ~Ru&᪵3.\ᐰᚘgᔆᖪᙳ⊝LᨵA.P>LACB.P=LACC.AR>LACD.AR=LAC

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48ᑖᵨ⚞ᔆᖪIᡠ☢Ḅ◤ᩭ⊤ᑖᵨᔆᖪ2ᡠḄᩭB.!"ᔆᖪ#Ḅ$%᦮"Ḅ$◤Ḅ80%C.⚞ᔆᖪ1'☠)*Ḅᙠ,Ḅ⚞-.ᙢ0✌ᐜ᪷4)5ᑭ7ᨬᜧᓄḄ◤⌕<=>?@ᜐBᙢ0Ḅᔆᖪ2CDEFG>?ᓽᔆᖪ2%"IJḄ“>?EFὅ”D.ᙠ⚞ᔆᖪ1✌ᐜN>?OP=⚜RᑮTᔆᖪ2U)*ᡠNḄG>?ḄVWᓽᔆᖪ1=⚜RᑮTᔆᖪ2ᙠX=>?YᡠḄ13.Yᑡ⊤[\ᔠᨵᐵᚘaḄbcdeḄ⊤[ᨵA.bcdeḄᎷg%“hijhk”B.lᜮᔆᖪḄ◤no%ᩩqᢚḄ◤noC.lᜮᔆᖪḄ◤no%ᩩᚖtoD.lᜮᔆᖪḄu▭ᦈxno%yaḄ14.z{ᙳ⊝O~ᑭ7ḄᔆᖪᨵA.ᐰᔆᖪB.ᚘaᔆᖪC.ᚘaᔆᖪD.lᜮJᖪ15.ᔆᖪyᐵᨬᑗḄ%A.ᐰB.ᐰᚘaC.ᚘaD.lᜮᚘaஹᑨa⚪ᐳ10"1.ᚘaᔆᖪḄu▭ᦈxMR$%BᙳᦈxAR,MRno0BARnoḄYMRnoᔣY஺2.ᚘa᪵ᚘalᜮ%jᙠᐹᨵ¢£ឋḄᔆᖪ¥¦Ḅ§{z{XnoḄ஺3.z{ᙳ⊝Oᚘaᔆᖪᐰᔆᖪ᪵¨©ª«Ḅ~ᑭ7஺4.¬>?®Y¯°ὅᒕ²ᐰIᚘaᔆᖪᡠᓰᨵ஺5.¬>?®YᚘaᔆᖪᒑµTᐰḄ¯°ὅᒕ²ᚘaᔆᖪḄ¶·.¸%¹ᨵᦔ᳛Ḅ஺6.ᚘaᔆᖪᚘaᔆᖪḄ◤no¨ᔣY¨¼½ᚆ஺7.ᐰᔆᖪஹᚘaᔆᖪஹᚘaᔆᖪḄ§{ᙳ⊝ᩩ¿¨%MR=SMCo8.ᚘaᔆᖪḄd◤noD◤noÀÁÂᕡḼᚘaḄÀÅÆ᝱஺9.ᚘaᔆᖪ§{ᙳ⊝z{ᙳ⊝O¨ᨵD◤nod◤noÀÁ஺10.ᚘaᔆᖪᙠz{ᙳ⊝O©ª«Ḅ~ᑭ7ᦑᐸ¼ᐸPḄᔆᖪḄ~ᦔx¨Ê஺ËஹÌÍᭆÏᐳ5"

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2GᔆᖪßàᦈxᨬᜧᓄOḄஹ>?ஹᦈxᑭ7஺3.×ØÙᚘaᔆᖪᑭᵨ"áᔆ#âãᐸãᙠ!"ᑖᒘḄ,NåPḄᡂÛÜᦪTC=Q2+40Q,!"Ḅ◤ÜᦪᑖæQ,=12-O.lPpQ=20-0.4PçGᔆᖪߥˬ>?®OPᑭ7ᨬᜧᓄè22OYḄ!ᔜ)Ḅ├åஹ>?ëᔆᖪḄ$ᑭ7஺4.×ØÙlᜮ¥¦ᨵ!"ᔆᖪᔆᖪ1ḄᡂÛÜᦪCI=8Qiᔆᖪ2ḄᡂÛÜᦪC=0.8Q2,GḄ◤ÜᦪP=152-0.6QoGlᜮḄìí22eÌîᶇ0ᦪ஺ðஹñò⚪ᐳ3"1.ᚘaᔆᖪḄ◤noóôᔣYõ2.÷[ìíeḄø⌕ᑁúûü3.qᢚḄ◤noe%᝞þÌÍlᜮ,Ḅ>?ÿឋ
Ḅஹ⚪ᐳ31.ᐰᚘᔆᖪᐰᔆᖪᙳ⊝Ḅ!"2.#$ᚘᔆᖪḄ%▭ᦈ(MR)*+ᦈ(TR)*Ḅᐵ-ஹAR)*.MR)*Ḅᱯ01ᐵ-3.3"4567Ḅ89ᦔ(;<=>⚪?ᫀAஹ⌱C⚪ᐳ15⚪123456789101112131415AAAAAABBABAABAAccBCBDᫀCCcCcCCDCDDDDDDDஹᑨ⚪ᐳ10

50⚪12345678910F?qqXqXXqqqXᫀGஹHIᭆK(ᐳ5)1.ᐰᚘ45Nᚘ45Oᢣ᦮RSTUᨵWAḄAᔆᖪḄ4567஺ᚘ45ḄᩩZ[⌕ᨵN45]UᨵWAḄAᔆᖪ^_.├aᖪbஹcᔆᖪ^_.├aḄᖪbdᨵefghḄijbஹᐸlefᔆᖪmᐭcRSo᩽qrsᡈ3uv஺wxyᙠ{᪵Ḅ45Ty᣸◀efḄwyᚘᔆᖪᑴ᦮RSḄ^_.45Ḅ├ayᡠᚘᔆᖪuᑴ.45஺2.ᯠᚘNS^_Ḅ89◤⌕ᙠAᜧḄ_.gḄᜧḄᜓḄ^_R]vᑮᐙᑖḄ¤
y¥¦᦮RSḄ_UᨵᵫASᩭ^_©ᨵuvªᑮ{᪵Ḅ^_y«AS¬u®᦮45¯c°_bḄ◤±஺RSᑁ+³ᨵ´ᔆᖪµ¶·¸Ḅ89¹º.ᐸl»¼yᨬᐜªᑮ{A^_y¿xᚘ᦮RSḄ^_.├ayÀᓽᯠᚘ஺3.AÂÃÄN᝞Æᔆᖪ¯ÇAᓫÉ_boᢥËÌὅᡠÎÏÐÑḄᨬÒÓay{¬OAÂÃÄ஺4.^_ÔÕNÖ45]ᜧḄ^_×ØÙhḄ"°_bḄᔆᖪḄ+.ÚÛ^_ÔÕ஺5.ᚘᔆᖪḄD◤±)*Nᙠᚘ^_ÔÕḄ´ᔆᖪᦋÝ_byx«ÔÕᑁḄᐸlᡠᨵᔆᖪÞß_bà^g"Ýᓄ©ycᔆᖪḄ_b.├aâãḄᐵ-஺äஹåæ⚪(ᐳ4)1.çè´ᚘᔆᖪḄéᡂëᦪqSTC=O.1Q3-6Q2+140Q+3000,í◤±ëᦪqP=150-3.25Qo±cᚘᔆᖪḄéᙳ⊝_ᙳ⊝஺H?NᵫSTC=O.1Q3-6Q2+140Q+3000SMC=0.3Q2-12Q+140,«ᵫP=150-3.25Q,MR=150-6.5Q஺¦Oy᪷ïᚘᔆᖪéᑭñᨬᜧᓄḄòᑣMR=SMCᨵ0.3Q2-12Q+140=150-6.5Q,HQ=20(çôõö÷)øQ=20jᐭí◤±ëᦪP=150-3.25QTNP=150-3.25Q=150-3.25x20=852.çè´ᚘᔆᖪḄéᡂëᦪqTC=0.6Q2+3Q+2,í◤±ëᦪqP=8—0.4Qo±N(1)cᔆᖪ¹
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ᦈ(ᨬᜧᓄ©Ḅ_ஹஹᦈ(.ᑭñ஺H?NপᵫTC=0.6Q2+3Q+2MC=1.2Q+3,ᵫP=8-0.4QMR=8-0.8Q᪷ïᑭñᨬᜧᓄḄòᑣMR=MC,ᨵ8—0.8Q=L2Q+3,HQ=2.5øQ=2.5jᐭí◤±ëᦪP=8-0.4Q,P=8—04x2.5=7øQ=2.5.P=7jᐭúIûñüýyᨵTI=TR-TC=PQ-TC=7X2.5-(0.6X2.52+3X2.5+2)=17.5-13.25=4.25

51ᡠyþcᚘᔆᖪ¹
ᑭñᨬᜧᓄ©yᐸ_Q=2.5,P=7,ᦈ(TR=17.5,ᑭñK=4.25஺(2)ᵫᩩᦈᦪTR=PQ=(8-0.4Q)Q=8Q-0.4Q2ᑣMR=8—0.8Q,MR=O,ᓽᨵ8—0.8Q=0,Q=10Q=10ᐭ◤ᦪP=8—0.4Q,P=8-0.4x10=4TR=P-Q=4x10=40Q=10ஹP=4ᐭᑭ!"#,ᨵTT=TR-TC=PQ-TC=4X10-(0.6xl02+3X10+2)=40—92=,52ᡠ./01ᚘ3ᔆᖪ67ᦈᨬᜧᓄ;/ᐸ=>Q=10,?@P=4,ᦈTR=40,ᑭ!ᐔ=-52,ᓽ1ᔆᖪBC52஺3.Eᚘ3ᔆᖪᑭᵨ,GHᔆI=,J=K/ᐸ=KᙠMGᑖᒘḄQRSTU/VḄᡂXᦪTC=Q2+40Q,MGQRḄ◤ᦪᑖYQi=12-0.1PQ=20-0.4PO01ᔆᖪ6]^_?@`a;/Vbᑭ!ᨬᜧᓄcd1(22eḄMQRᔜgḄ├U>ஹ?@.iᔆᖪḄᑭ!஺jᵫk,GQRḄ◤ᦪQi=12—0.1Pi/1QRḄ◤ᦪP|=120,10Qi/lmᐸn▭ᦈᦪMR=120-20Ql|opᳮ/ᵫkrGsRḄ◤ᦪQ2=20—0.4P2/1QRḄ◤ᦪP=50-2.5Qn▭ᦈᦪMR=50-5QO2222mu/QR◤ᦪQ=QI+Q2=(12—0.1P)+(20—0.4Pz32—0.5P,uQR◤ᦪP=64—2Q,QRḄn▭ᦈᦪMR=64-4QO{᜜/ᔆᖪI=Ḅn▭ᡂXᦪMC=2Q+40஺1ᔆᖪ6]^_?@`a;ᑭ!ᨬᜧᓄḄ}ᑣMR=MR2=MC஺~ᐵ~k,GQR᪷MR=MC,ᨵ120—20Qi=2Q+40,BP22QI+2Q=802ᐵ~krGQR᪷MR2=MC,ᨵ50—5Q2=2Q+40,ᓽ2QI+7Q2=10ᵫ.Sᐵ~QiஹQ2ḄMGᔆᖪᙠMGQRSḄ├U>ᑖYQi=3.6,Q=0.4O=>ᐭ◤ᦪ/MGQRḄ?@ᑖY2Pi=120-10Qi=120-10x3.6=84P=50-2.5Q=50-2,5X0.4=49O22ᙠ6]^_?@`aḄ;᎛/ᔆᖪḄᑭ!TI=(TRI+TR2)-TC=PIQI+PQ2-(QI+Q2)2-40(Q+Q)212=84x3.6+49x0.4—(3.6+04)2—40x4=1464.Eᜮ]ᨵMGᔆᖪ/ᔆᖪ1ḄᡂXᦪCi=8Qi/ᔆᖪ2ḄᡂXᦪC=0.8Q2,1QRḄ◤ᦪP=152-0.6Q1ᜮQRḄ22o(ᶇ,ᦪ)஺jᔆᖪ1Ḅᑭ!ᦪ7tl=TR|—Cl=PQ—Cl=[152-0.6(QI+Q)]Q,-8QI2

52=144Q-0.6Q2-0.6QQ1I12ᔆᖪ1ᑭ!ᨬᜧᓄḄ,▤ᩩ—=144-1.2Q,-0.6Q=023QIᵫ{ᔆᖪ1ḄᦪQI(Q)2=120—0.5Q2.............................................................................(1)pᳮ/ᔆᖪ2Ḅᑭ!ᦪᐔ2=TR2-C2=PQ-c22=[152-(0.6Q+Q)]Q-0.8Q21222=152Q-0.6QQ-1.4Q22122ᔆᖪ2ᑭ!ᨬᜧᓄḄ,▤ᩩ—=152-0.6Q|-2.8Q=026Q2ᵫ{ᔆᖪ2ḄᦪQ2(QI)=54.3—0.2Qi....................(2)ὶ.SMGᦪ(1)(2),᪀ᡂ.eQI=12-0.5Q2Q2=54.3-0.2QI:Qi=103.1,Q=33.72¡ஹ¢j⚪(ᐳ3G)1.ᚘ3ᔆᖪḄ◤¥¦§¨ᔣªe«¬j:k,/ᵫ~ᚘ3QR®¯ᨵ,Gᔆᖪ/ᡠ./QRḄ◤¥¦°ᚘ3ᔆᖪᡠ☢²Ḅ◤¥¦஺kr/Ꮇ´ᔆᖪḄ├U>"~QRḄ◤>஺k^/ᚘ3ᔆᖪ.µ¶ᦋ¸├U>ᩭºᑴQR?@/ᓽᚘ3ᔆᖪ.ᵨ¼½├U>Ḅ¾¿ᩭdÀQR?@/s.ᵨÁÂ├U>Ḅ¾¿ᩭÃÄQR?@/Å᪵/ᚘ3ᔆᖪḄ├U>ᓽ◤>ÇQR?@ᡂᔣḄ¸È஺Ém/ᚘ3ᔆᖪḄ◤¥¦ᔣªe«¬஺2.ÊËḄÌ⌕ᑁÏÐÑjk,/ḄᎷ´QRS¯ᨵAஹBMGᔆᖪI=├UÒpḄ=K/ÓÔḄI=ᡂXÕÖÓÔᐳp☢²ḄQRḄ◤¥¦¦ឋḄ/AஹBMGᔆᖪØÙÚᙢÜQRḄ◤¥¦ÖAஹBMGᔆᖪØᙠÝ=>ḄÞße/ᔜgÚ´àáâgãäᩭᨬᜧᑭ!Ḅ=>/ᓽå,GᔆᖪØæ᩽ᙢ.gãḄ=>è〉ÝÚ´Ḅ=>஺kr/ᙠå,êḄMGᔆᖪḄI=®/åGᔆᖪØæ᩽ᙢ.gãḄ=>è〉ÝëÚḄ=>/ᩭ67gãḄᨬᜧᑭ!஺ᙠÅ᪵êì,êḄ¶®/AᔆᖪḄ=>í⌲ïᙢ¼½/BᔆᖪḄ=>í⌲ïᙢÁÂ/ᨬð/ñᑮAஹBMGᔆᖪḄ=>ØÒ"Ḅᙳ⊝õ᝱÷஺

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55ঞᙠᚘJᔆᖪḄ01ᙳ⊝4ᔣLMNOḄஹ;&'▽^Ḅ◤89:_LAC9:;`?@Ḅᙳ⊝ABᨬaᜧ=Ḅ6ᙳᡂF?@Ḅᙳ⊝ᦪGᨬ஺টᙠ01ᙳ⊝4eᜮᔆᖪḄ@Ḅᙳ⊝AB&'@Ḅᙳ⊝ᦪG&'஺gᔜ#$%ᦔḄhi*ᐰ,-$%ḄᦔᨬᚘJ,-$%'eᜮ$%'ᚘJ$%ᨬ஺jk$%Ḅ,-lmnᑣᦔn?pq$%ḄᚘJlmnᑣᦔn஺rs#Uᙠ01ᙳ⊝4tᔲvwxABD=01S▭ᡂFᓽP=LMC,{tᑨJ}UtᔲvwxᨵᦔḄ~Ḅs#ᩩ஺ᙠ*ᐰ,-$%ᙠᔆᖪḄ01ᙳ⊝>ᨵP=LMC,C⊤ᙠ}UᑮxᨵᦔḄ~஺ᙠ*ᐰ,-$%ᙠḄᔆᖪḄ01ᙳ⊝>ᨵP>LMC,C⊤ᙠ,-UḄ~tḄ஺⌕ABḄsஹ⌱⚪ᐳ9#1.*ᐰ,-ᔆᖪᓫs⌕Ḅ◤89:A.ᔣLMNOB._ᐸVMP9:ᔠC.56:D.=VMP9:2.¡ᙠ¢᳛4ᐗ/¦4§ᕜ¢©40¦44ᢳ160ᐗ?«¢᳛5ᐗ/¦44§ᕜ¢©35¦4ᢳ1¬ᐗ஺ᵫ®jJ¯ᩭ±²᨟ḄA.ᦈᐭᦔ¶·Ḽ¸⌕©ᵨB.¹ºᦔ¶·Ḽ¸⌕©ᵨC.ᦈᐭᦔ¶»¹ºᦔ¶¼©ᵨD.ᦈᐭᦔ¶»¹ºᦔ¶ᨵ¼©ᵨ3.*ᐰ,-ᩩMᔆᖪ½ᵨ⌕ḄS▭ᦈtᢣA.S▭@A¿B.S▭@C.@ABD.S▭@_⌕ABqÀ4.ÁÂÃÄḄsÅḄÆÇABÈÉA.ᙢËB.ËÌC.ÍËÌD.ËÌ5.½ᙢËJᓣḄÐÑtA.ÒᙢḄÁÂஹ◤8ᐳÓÔB.ÒᙢÁÂJÕÖ×◤8ÄC.ÒᙢḄ◤8ØÓÔ×ÁÂÄ

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