Question

What is duality and why is it useful in producer analysis? You can use the example of a cost minimising producer to illustrate your answer

Answer 1

The duality approach was davelopad by RW Shephandd (196oti l tt epire cae atlitation fiest become ppular ofuning 19 t0 onwand&. The emptrical stuty which explokad duality theoy was made by M. NenloeetnGIJ ohich is esimafed Cobb- Doustas cost tunction as an tndire ct the parcametens of the production fenceion f el2cenic utilities The Concept op turib Ra ten imal and t8 applicatiun n the deredatien of Probable Puncei mal forms fore Aunctin began n the dual Cost and Pro fet earty literature u 19F03 Diewere (91 Christensen) Torgensen and Lau l973) Dt wag an important step which lad to the Proenution 6 empiaitae afpitation duatity therey The appercatiun f duatity n Peduction analyst6 trovedes an alternate way o Probler e inst orden tol Hva by iecey 8pecrtying Suitale maximen PrLo fit function on minimum cost fenctim recther than froduchlen On treans fonmafin functiu)

Deality took fon tho0 neason i lead to nelafively Casy Chanaeferizations 0f the Priopert f Syetem of Produ cen deniJed femand trenceion tor inRet and preedu cen tfly funchin for lee puets an Ci) taciletats the fenerabion ele functional forem for Produen denand and that Can be estimatsd using econometrics The Paper toures en dfescnebin tfeory ten out to be a tese fue epy Arenchin the Propartis bf Preductien. The cast-m in imization frtOb lem ts Cllustratesd en the en tgee The ed Cho quant the Rt o5 ay Pair Cunde es .aof in Put that Pribofue ce enactty th ouepuey The light blue rRa aboVR -09ant ts Ihe Set of a Pais 2 of input theip Produ ce ALasible in put bendtes fon outait Each blue ins a Seet of Pairs (21,2) Tpt thatsquaily Castiy (ene The Peint3 ny guen is0 cost : an iso cest

Lone sabisfy 4the Condifin wo2,tW2 HOnsome Value b C oCast line tunter from the orqin Correspond to higher Lost iOput bundles that Prioduce at least y Bundle tndui Burzw0!w - 4y0 Lines +roos