急~請問獨占市場的彈性 - 經濟

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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!

--
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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

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All Comments

John avatarJohn2009-01-09
是減產還是增產?
Rebecca avatarRebecca2009-01-13
彈性小於1必定要減產才有利潤
Selena avatarSelena2009-01-13
彈性=1時,產量剛好會在MR=0的地方