.-和yLxxyZx,yL8xy。Zx,y,L8xyL48Zyx生產(chǎn)〔隱〕函數(shù)為8xyL。為Zx,y,L8xyL48Zfxxx,x21122x1fxxx,xx12112222xx2121A0,,0fxxx221，。yxMPyxMP1122〔2〕求技術(shù)替代率TRS。12或TRS12yxx21fxxx2yAxx2112fx,x1xyx1112121fx,xAxx1yx2212122，yxMPyxMP1122-.word.zl.-x221x12。2x112xx與TRSyy2121TRS121fxx2112121，12212。iii?；騳111A1yxx11122x1111121Ax1111Ayx111。2122iix。11iii221x11yTRS122211-.word.zl.-z1zxxTRS121122zd11212dz12dzz121z1z211211，；,b0fxx212ftx，fxx，txt2121212120A,fxxx2121111yAx11x22，，1，A。0yAxx,0121yp,w,w12yAxx12-.word.zl.-1yyx21xx111，Dfy0y0221x2x2yy12xx1x222y2y21110Df222xx22xx221212。1pypy，x1wpAx1xw2xx1121212pypyxp,w，。xp,w1ww212ppyAxxAwwww121212p11p。1yp,wA1ww12p,wwxp,wwxp,wp,ww1,21122p,wp,wp,w將1pp11yp,wA1ww121pp1p,ww1,1pA1w1w221pp1p,ww1,1pA1w1w22111tp,tw1,11122p11p1t11w12p,ww1,2p,w,w12〔5〕利潤(rùn)函數(shù)1pp中，的冪次為11pApp,ww1,1ww212-.word.zl.-1。1yp,wp111pp111www1w1111pppy1。x11pA1ww1www11112。xw2212p1和2和。fx,xxxw1w21/32312121/323pxxwxwx121122xwxwx1/323121122x11xw023233121p32xxw121pp12p32212wxxpxxwxwxp1/32/33w2213w22233w222111yyx02221pxpx.y2yx02112212y,y,x12yyx2221pi2w，，ipwy20iyiii2pp2。xyy222124w21gy,x0-.word.zl.-nxLpywxgyxiii1及y,xiLL01,2,...kwiixxiiiiiiiLxiLx,y,gy,x點(diǎn)解的二階必要條件是：對(duì)任何滿足y,xh0。2,，0。11212和/／112x11221yxyx12y0xyx1122。22圖-.word.zl.-，。,b0yaxbx12minwxwx..axbxyst112212X0③假設(shè)cywya；；wwab,xyax12121cywybwwab,x0,ybx12122，最優(yōu)解可取線段上任一點(diǎn)，在此不妨取axbxywwab1212x,xya12，，yAx1A00112和c,yy2BA1wxwxsAxx1t.y112212yLwxwxx1112212LLwAxx0w1Axx01112xx1122121A12w1Ax1xww1112ww1112w1Axx1w11212112A其中是依賴于和的常數(shù)。代入一階條件，并利用約束等式，得到：BA1yyw1w2x1x2。c,ywxwxyw1y112212和cyy2cy2y211122222，。4ycycyy111222-.word.zl.-；cycy1122cy。2022cycy1222111y21y21cycy1122，yy13y2y1312y12y1222cycycy21y123331122y12y122y2cy2y123。cw,w,ywwy1212cwwy、和,,12cy和yww，。1,,0w=wwy為wcw,w,y1212c,yc,y，xwyx,yw1wy,ww1yww112212120icyFyFkiF。c00i〔2〕在1和33-.word.zl.-31cyFiiikykFcyF數(shù)。cyy2，3cyiFky3iiiii。cycyyyy2112212cycy2cy22F2ky2312cyFI3y4F/k13F2F2k233Fky3y4F/3k3cy2F2ky/2y4F/3k33cycyyF11F；3y4F/k3ky33Eycky3ycycy/y8F118F3ky33y4F/k3Eycky3yux,xx,,A01212；xux,xx1212ux,x；xx1212。ux,xxxA1212vuA-.word.zl.-vuw1，并且假設(shè)。x1ux,xx1212maxlnxlnxst.pxpxm121122x,x12Lxxpxpxm121122LLLp0p0pxpxm0xxxx2121122112mm，，m1mxx2pp112vp,m1mpp。12minpxpxst.lnxlnxu112212x,x12Lpxpxxxu112212peuppp，，122p1euh1xeuh2xpp1p12122pp。uep,p,ue1212mx,pp12peup1111hp,mxp,mp2pm，1eu211pp1pp1111hp,uxp,m。11pp11x,p111-.word.zl.-12，1ppmm11m。1p11mp11；12。12，111221m1212u12圖和x2-.word.zl.-xxux121是ux2maxx.pxpxm11122mvp,mm。ppxxpp121212vp,m。ppm12顯然，對(duì)于預(yù)先給定的效用水平，?？怂剐鑨，從而支出函數(shù)為u0xu21。eppu12；T1tppTmTTpp,pp1tp,p2121xx,x。12tpxTT11mTTxT，pm100ux,xxx1212p1、CV和CSEVxx.pxpx100221211x,x12Lxxpxpx121122-.word.zl.-xp0xp021125050，50x1x2pp1pp212，，。pxx50uu0012p1200，，。50uux1x21150CSxpp14p50lnp69.3114p11111141pxpx.xxu112212x,x12px0px01221pp1u。2pu2ppu1p，。xhp,pxhp,p11122212122p2u11u0p2pu1CVdp2pu015014p14p1111141411CVCSEVux,x,xxx,x123123pp。。uxx12xx23以maxxx12.1x1x1xxx12323，x1500xx750123-.word.zl.-vxx112500012x2x4x123.xxxx1223，x31xx323300033000310003，um10010和1rm,m015111r011m0111rmm11rmmmV1m11r000，mmmm1r111rmm100101cyy5y25y323132cyy5y25y3cyy12cyy210yy5y25y31y5y23〔2〕短期生產(chǎn)停業(yè)點(diǎn)為：，即：PAVCmin11142yyy2343432-.word.zl.-44。Pmincyy210y25yp5Pp4，。y100p5PvpmpijijWpvppijijWpppWppVpmvpmi,iVp,mmVp,mpvpxpiiii。yppjp0Wpvppxpypijijijijxp0在ppWpiypWpjij0ppvpiiWpxpypijij當(dāng)ppvpiiWp0xpypijij和，,,,dXabpYcdpt0ttt1-.word.zl.-pGapptt1GtG0Gtttattt1ttbbt1limpt1tt1t1ta將ppt1ttt1bbt1t1t1ttt。tGttt1XGabpapaptttt1abpapapcdptt1t1a1pcbb，ppkppett1kk0圖-.word.zl.-