高鸿业微观经济学习题及参考答案2.doc

?1. ? LQ=-0.01L3+L2+36LQL104.80Q=-0.01L3+L2+36L MPL=-0.03L2+2L+36P=0.1;W=4.80 -0.003L2+0.2L+1.2=0PMPL=VMPL=WL1=20/3,L2=60L=20/3dMPL/dL0L=60dMPL/dL0L=60602. ? Q=A+aL-bL2,Q= A+aL-bL2,MPL=a-2bLPMPL=VMPL=WP(a-2bL)=W L=a/2b-W/2bP?1. ?2. VMPWVMP=WMRPWMRP=WVMPMFCMFC=VMP3. ? PMP=VMP=WW/MPMCP=MCMRP =WMRPMRMPMR=W/MP=MCVMP=MFCVMP=PMPMFC = MCMPMPP=MC4. ? W MFC W MFC1 W1(L)MFC0W1 E W(L) W0(L)W0 W0VMP VMP?O L0 L O L1 L0 L1 2MFC=VMP1EL0W0MFC2W0(L)MFC0L0W0W1(L)MFC1L1W0?5. ? 1VMP=WVMP? ? 1. SL=100WDL=60000-100W121031041SL = DL 100W = 60000-100W W = 300210SL= 100W-10= 100W C1000SL= DL 100W C1000 = 60000-100W W = 30533003051054DL= 60000-100305 = 295001029500 = 2950002. 1010054P=10Q=100AVC=5AFC=4R=TR-TVC=PQ-AVCQ=P-AVCQ=10-5100=500=TR-TC=TR-TVC+TFC=PQ-AVC+AFCQ=P-AVC-AFCQ=10-5-4100=100?1. dU/dL =dU/dYdY/dLdY/dL=WdU/dL =dU/dYWMUL=MUYWdU/dWdU/dY = dU/dW=MU/MUYdU/dYdY/dL=dU/d MU/MUY=dY/dLdY/d= -W23405.? ?1 1HKrn-rP1 ,Pr; Pr+1 ,PnhHk rn-r Qid(P1,Pn)=Qis(P1,Pn) I=1,nn-1 n-1n-1 n-1 2. X1X2.X5P1P2P5 QAy(I=1,4,j=1,5) iX1=f1(P1,P2,P5; W1,W2,W4)X2=f2(P1,P2,P5; W1,W2,W4)X5=f5(P1,P2,P5; W1,W2,W4)Q1=a11X1+a12X2+a15X5Q2=a21X1+a22X2+a25X5Q4=a41X1+a42X2+a45X5P1=a11W1+a21W2+a41W4P2=a12W1+a22W2+a42W4P4=a14W1+a24W2+a44W4Q1=g1(P1,P2,P5;W1,W2,W4)Q2=g2(P1,P2,P5;W1,W2,W4)Q4=g4(P1,P2,P5;W1,W2,W4)18=242518=24251817X1,X2,X5 P1,P,P5X1P1+X2P2+X5P5Q1,Q2,Q4W1,W2,W4Q1W1+Q2W2+Q4W4 X1P1+X2P2+X5P5=Q1W1+Q2W2+Q4W454345418173XSx1 1X2 23 31XSxPx Qx XXPx2XXXX32XXX412LK3XYXL/KY4XY5XYaDXbYcdaDx Px XXXbXYDxPx Dy Py YYcXYYLKXXL/KYLKPl PK XYKLPl Pk dDx DyPxPy PxDy PyDxDxDyDl ,Dk , Pl,Pk 5 m n r s s MRS1jk=MRS2jk=MRSmjk=MRT1jk=MRT2jk=MRTnjk j,k=1,2,s r MRS1jk=MRS2jk=MRSmjk=MRTS1jk=MRTS2jk=MRTSnjk j,k=1,2,r s rMRS1jk=MRS2jk=MRSmjk=MP1jk=MP2jk=MPnjk j=1,2,r ; k=1,2,s? 1.2.MRSXYA=MRSXYB3.4.5.6.7.?1.XY3XY2 A. XY B. YXC. D. 2. A. 1X3YB. 1X2YC. XY1/31/2D