作者akai0928 (so what)
看板Economics
標題Re: [請益] 急~請問獨占市場的彈性
時間Tue Jan 6 22:40:39 2009
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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◆ 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)
推 blizzardsun:是減產還是增產? 118.166.78.139 01/07 22:10
推 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