已知: A企業(yè)為只生產(chǎn)單一-產(chǎn)品的企業(yè),該產(chǎn)品連續(xù)生產(chǎn)10期的產(chǎn)量與總成本的有關(guān)數(shù)據(jù)如下表所示: 要求一:用高低點(diǎn)法對總成本這一混合成本進(jìn)行分解,得出總成本性態(tài)方程式。 要求二:用EXCEL或SPSS對總成本與產(chǎn)量進(jìn)行回歸分析,得出總成本與產(chǎn)量的回歸方程式。
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于2021-09-09 13:07 發(fā)布 ??1949次瀏覽
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利用高低點(diǎn)法,根據(jù)數(shù)據(jù)對總成本這一混合成本進(jìn)行分解,得出總成本性態(tài)方程式;利用最小二乘法對總成本與產(chǎn)量進(jìn)行回歸分析,得出總成本與產(chǎn)量的回歸方程式.
【解答】
解:由題意得產(chǎn)量為橫坐標(biāo),總成本為縱坐標(biāo).
(1)用高低點(diǎn)法對總成本這一混合成本進(jìn)行分解為:
高點(diǎn)(31,84560)(31,84560),低點(diǎn)(26,75850)(26,75850)
b = frac{84560 - 75850}{31 - 26} = 17110b=31?2684560?75850=17110
a = 84560 - 17.11 times 31 = 81859.9a=84560?17.11×31=81859.9
所以總成本性態(tài)方程式為y = 1711x %2B 81859.9y=1711x%2B81859.9
(2)對總成本與產(chǎn)量進(jìn)行回歸分析可得:
b = frac{1}{10} times overset{―}{x} times overset{―}{y} - overset{―}{x} = frac{1}{10} times frac{25 %2B 28 %2B 29 %2B 30 %2B 27 %2B 26 %2B 28 %2B 29 %2B 31 %2B 26}{77750 %2B 74480 %2B 83520 %2B 84500 %2B 71000 %2B 82000 %2B 83230 %2B 75850} timesb=101×x―×y―?x―=101×77750%2B74480%2B83520%2B84500%2B71000%2B82000%2B83230%2B7585025%2B28%2B29%2B30%2B27%2B26%2B28%2B29%2B31%2B26×(25 times 77750 %2B 28 times 74480 %2B 29 times 83520 %2B30 times 84500 %2B 27 times 71000 %2B 26 times 82000 %2B30×84500%2B27×71000%2B26×82000%2B28 times 83230 %2B 26 times 75850) - frac{25 %2B 28 %2B 29%2B 30 %2B 27 %2B 26 %2B%2B30%2B27%2B26%2B28 %2B 29 %2B31 %2B31%2B26}{10}= frac{1}{10} times (364.4 times 171.1) - frac{364.4}{10}=101×(364.4×171.1)?10364.4= 57.66$
a = overset{―}{y} - boverset{―}{x} = frac{77750 %2B 74480 %2B83520 %2B84500 %2B84500%2B71000 %2B82000 %2B82000%2B83230 %2B75850}{10} -57.66 times frac{25 %2B28 %2B28%2B29%2B%2B30%2B%2B27%2B%2B26%2B%2B28%2B%2B29%2B%2B31%2B%2B26}{10}= frac{7775(1 %2B b)}{1 %2B b} ==1%2Bb7775(1%2Bb)=frac{7775 times 1.5766}{1.5766} =frac{1.23 times 7775}b1.23×7775
所以總成本與產(chǎn)量的回歸方程式為:y = 57.66x %2By=57.66x%2Bfrac{1.23 times 7775}{x}$
2023-09-24 06:01:20

你好,學(xué)員,請問這個(gè)有具體的背景嗎
2021-09-10 10:15:26

你好; 就是說 本期 這個(gè)所屬期內(nèi); 你們實(shí)際公司投入的生產(chǎn)成本 有多少的意思??
2023-05-19 18:35:13

您好,您可以根據(jù)具體的生產(chǎn)工時(shí)萊來分配
2020-04-01 21:41:40

不用的
你的樣品的也有成本的
留樣的以后不能用?
2019-12-13 09:52:27
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