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註:廠商的最適決策是要追求「利潤」極大化 若生產過程中,提高產量可以增加「利潤」,就會增產 (不是增加收益) 因此原PO在上一篇的推文中提到 何不在無彈性的階段生產? 因為在無彈性的階段生產,只要增產,利潤就會增加 因此廠商會增產,直到Ed > 1 的階段 且 MR = MC 為止 (忽略充份條件的討論) Note that a monopolist always produces a quantity at which demand is elastic. (追求利潤極大化) 的獨占廠商,其最適產量必發生在需求彈性大於1之處 (註1:elastic:有彈性、或彈性大於1) (註2:此處沒有特別說明,但前提是需求線是線性的) If the firm produced a quantity for which demand was inelastic, then if the firm raised its price,quantity would fall by a smaller percentage than the rise inprice, so revenue would increase. 若此一廠商在需求曲線上無彈性(inelastic, 彈性小於1) 的階段進行生產 只要此一廠商提高售價,因為需求量減少的幅度 小於 價格提高的幅度 所以總收益(TR) 仍會增加 (註1:|Ed| = dlnQ / dlnP < 1 => dlnQ < dlnP 需求量變動百分比 < 價格變動百分比 ) (註2:Ed小於1時,P與TR呈同向變動:dTR / dP > 0) Because costs would decrease at a lower quantity, the firm would have higher revenue and lower costs, so profit would be higher. (承上:在需求無彈性的階段,只要廠商抬高價格、減少產出,則) 當產量較低(少)時,成本較低,且收益(TR) 較高 因此 (在Ed小於1的階段) 可以 (透過提高售價) 獲得較高的利潤 ============================================================================== Max profit = TR - TC = P(Q)*Q - TC(Q) f.o.c d(profit) / dQ = 0 (dTR/dQ) - (dTC/dQ) = 0 MR - MC = 0 MR = MC 又:MR = P [ 1 - (1/Ed) ],且一般設定 MC非負 MR = MC P [ 1 - (1/Ed) ] = MC > 0 1 - (1/Ed) > 0 Ed > 1 ============================================================================== ※ 引述《eu7908 (小事)》之銘言: : 老師給的投影片上面是這樣寫: : Note that a monopolist always produces a quantity at which : demand is elastic. If the firm produced a quantity for which : demand was inelastic, then if the firm raised its price, : quantity would fall by a smaller percentage than the rise in : price, so revenue would increase. Because costs would decrease : at a lower quantity, the firm would have higher revenue and : lower costs, so profit would be higher. : 我不懂的是 : 明明說獨占廠商總是在彈性的時候製造,那後面又說 : 若demand是非彈性的時候,提高價格,收入又會增加 : 既然如此,為什麼不在非彈性的時候製造呢? : 後面又有說成本在較少量的時候會減少,通常不是 : 製造越多成本越低嗎? : 還是這有錯誤? : 我整個霧煞煞啊T^T : 請救救我! -- 無心擁有 何嘆失去 無心真正追尋過的擁有 便無須矯情怨失去 若是無悔追尋過 烙在心頭上 又怎能失的去 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.170.5.9 ※ 編輯: akai0928 來自: 118.170.5.9 (01/06 22:41) ※ 編輯: akai0928 來自: 118.170.5.9 (01/06 22:47) ※ 編輯: akai0928 來自: 118.170.5.9 (01/06 22:49)
blizzardsun:是減產還是增產? 118.166.78.139 01/07 22:10
moniya:彈性小於1必定要減產才有利潤 58.115.27.142 01/10 01:36
moniya:彈性=1時,產量剛好會在MR=0的地方 58.115.27.142 01/10 01:37