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企业某年度6月份实际销售量为800公斤,原来预测该月的销

企业某年度6月份实际销售量为800公斤,原来预测该月的销
企业某年度6月份实际销售量为800公斤,原来预测该月的销

1、企业某年度6月份实际销售量为800公斤,原来预测该月的销售量为840公斤,平滑指

数α=0.4。请运用平滑指数法预测7月份的销售量。(5分)

解:7月份销售量预测数=0.4×800+(1-0.4)×840

=824(公斤)

2、已知:某企业只生产一种产品,全年最大生产能力为1200件。年初已按100元/件的价格接受正常任务1 000件,该产品的单位完全生产成本为80元/件(其中,单位固定生产成本为30元)。现有一客户要求以70元/件的价格追加订货。(10分)

要求:请考虑以下不相关的情况,用差别损益分析法为企业作出是否接受低价追加订货的决策,并说明理由:

(1)剩余能力无法转移,追加订货量为200件,不增加专属成本;

(2)剩余能力无法转移,追加订货量为200件,但因有特殊要求,企业需追加1 000元专属成本;

(3)同(1),但剩余能力可用于对外出租,可获租金收入5000元;

(4)剩余能力无法转移,追加订货量为300件;因有特殊要求需追加1000元专属成本。

答:(1)单位变动成本=80-30=50(元/件)

初步判定单位变动成本<订货价格

差别损益=(70-50)×200=4000(元)应接受订货

(2)差别损益=4000-1000=3000(元)应接受订货

(3)差别损益=4000-5000=-1000(元)应拒绝订货

(4)差别损益=200×(70-50)+100×(70-100)-1000

=0 接受或拒绝订货均可

3、某公司2001年1-6月份各月的维修工时和维修费等有关资料如下:

要求:(1)采用高低点法计算各月的维修费。

(2)假如7月份预计发生维修工时700小时,预计7 月的维修费是多少解:(1)单位变动维修费(b)=(2800-2000)÷(1000--600)

=2(元/小时)

a=y-bx =2800-1000×2=800(元)

或:a=2000-600×2=800(元)

成本性态模型;y=800+2x

(2)y=800+2x=800+2×700=2200(元)

4、某企业生产和销售甲、乙两种产品,其单价分别为8元和12元,贡献边际率分别为10%和20%,其全年固定成本总额为9000元,假设甲、乙两种产品预计销售量均为10000件。计算:

(1)甲、乙两种产品的盈亏临界点销售量。

(2)安全边际额和预计利润

(3)企业改进生产经营方法,使固定成本降低2000元,同时使甲、乙两产品单位变动成本率降低了20%和25% ,试求此时的盈亏临界点销售额。(结果保留两位小数)

(1)销售总额=8×10000+12×10000

=200000(元)

其中:甲产品所占比重=8×10000÷200000

=0.4 (1分)

乙产品所占比重=12×10000÷200000

=0.6 (1分)

加权贡献边际率=0.4×10%+0.6×20%

=16% (2分)

盈亏临界点销售额=9000÷16%=56250(元)(2分)

甲产品盈亏临界点销售量=(56250×0.4)÷8

=2813(件)(2分)

乙产品盈亏临界点销售量=(56250×0.6)÷12

=2813(件)(2分)

(2)安全边际额=20000-56250=143750(元)(1分)

预计利润=20000×16%-9000

=23000(元)(1分)

(3)甲、乙两产品变动成本率降低后,其贡献边际率分别为:

甲产品贡献边际率=10%+20% =30% (1分)

乙产品贡献边际率=20%+25%=45% (1分)

加权平均贡献边际率=30%×0.4+45%×0.6=39% (2分)

盈亏临界点销售额=(9000-2000)÷39%

=17948.72(元)(2分)

5、某企业连续两年的有关资料如下表所示:

要求:计算经营杠杆系数。(6分)

解:产销量变动率=(14000-12000)÷12000=17%(2分)

利润变动率=(300000-200000)÷200000=50%(2分)

经营杠杆系数=50%÷17%=2.95 (2分)

6、某企业拟购买一台机器,价值300000元,其有效使用期为6年,预计残值30000元。企业采用直线法计提折旧,资金成本为10%,所得税率为33%。

要求:(1)计算残值的现值。(2)计算每年折旧的抵税额。(6分)

解:(1)(P/F,10%,6)=(1+10%)6-=0.5645 (2分)

P=30000×0.5645=16935(元)(1分)

(2)年折旧额=(300000-30000)/6=45000(元)(2分)

折旧的抵税额=45000×33%=14850(元)(1分)

1,举例:假定某公司2002年只产销一种产品,生产量4000件,销售量3500件,期初存货为0,销售单价46元,直接材料20000元,直接人工32000元,单位变动制造费6元,固定制造费28000元,单位变动推销及管理、财务费用4元,固定推销及管理、财务费用总额21000元。要求1、分别采用不同成本法计算期末存货成本。

解:完全成本法:单位产品生产成本

=(4000×6+28000+20000+32000)÷4000 = 104000/4000=26元

期末存货成本

= 0 + 4000×26 — 3500×26 =13000元

变动成本法:

单位产品变动生产成本

=(32000+20000)/4000+6=19元

期末存货成本=500×19=9500元

2、编制收益表

变动成本法

销售收入46×3500=161000

销售产品变动生产成本19×3500=66500

变动推销管理财务费用4×3500=14000

贡献边际= 161000-66500-14000 = 80500

营业利润= 80500- 21000-28000 = 31500

完全成本法

销售收入46×3500=161000

销售产品生产成本26×3500=91000

营业毛利161000-91000 =70000

期间费用4×3500+21000 =35000

营业利润70000-35000=35000

3、计算两法利润差额

广义差额=35000—31500=3500元

狭义差额=期末存货中固定生产成本—期初存货中固定生产成本

=500×28000/4000 =500×7 =3500元

某企业只生产A产品2001年初投产,当年即达到年产5000件的设计能力,并实现4000件销售。已知:2001年该产品cmR 40% ,b=60元, a=100000元。经测算,2002年A产品单价和单位变动成本均不变,但为了实现销售5000件产品,达到产销平衡,需追加投入a20000元。要求计算:

(1)计算A产品下列指标:

1、变动成本率bR =1—40%=60%

2、单价= b/bR = 60/60%=100元

3、2001年营业收入=100×4000=400000元

4、2001年贡献边际= px — bx = 40万—40×60%=16万

5、2001年营业利润= Tcm — a = 16万-10万=6万

6、2002年预计a = 10万+ 2万= 12万

7、2002年预计保本点x。= a/(p — b) = 12万/(100-60) =0.3万件

px。=0.3×100=30万元

(2)计算2002年企业安全边际指标,并评价企业安全程度。

MSR=(X — X。)/X =(5000-3000)/5000=40%

∵MSR>30% ∴企业经营安全

举例:某企业采用加权平均法进行本量利分析,本期计划生产甲、乙、丙三种产品,全厂a=3360元,目标利润7140元

产品单价单位变动成本cmR 销售比重

(元/件)(元/件)

甲10 5 50% 50%

乙16 12 25% 20%

丙15 9 40%

30%

要求计算各产品的保本销售额。

(1)企业加权平均贡献边际

=50%×50%+20%×25%+40%×30%=42%

(2)企业综合保本额= a/cmR =3360/42%=8000元(3)甲产品保本额=8000×50%=4000元

举例说明:

某公司2002年4 —9月的产品销售量如下:

要求运用回归分析法预测10月的销售数量

解;对已知资料加工如下:

b = ∑tQ / ∑t = 76 / 70 = 1.1

a = ∑Q / n = 166 / 6= 27.67

∴Q = 27.67 + 1.1 t

当10月份时,t = + 7

则预计销售量为= 27.67 + 1.1×7 = 35.37 kg

成本预测举例:已知企业最近三个季度的成本资料如下:

假定第四季度的产量为2000件,权数分别为0.5、0.3、0.2,预计第四季度的成本。

b=(0.2×60+0.3×62+0.5×66)÷(0.2+0.3+0.5)=63.6

a=(0.2×150000+0.3×160000+0.5×165000)÷(0.2+0.3+0.5)=160500

则第四季度的成本为:

Y = 160500 + 63.6×2000 =160500+127200 = 287700元

平滑指数法预测:如某种产品销售量的平滑系数为0.4,1996年实际销售量为31万件,预测销售量为33万件。1997年预测销售量= 31万件×0.4+33万件×(1-0.4)=32.2万件

某企业生产一种甲产品,今年的产量为1000件,售价200员/件,单位变动成本90元/件,获利55000元。要求:(1)计算经营杠杆系数。

(2)明年计划增加销售5%,预测可实现的利润。

(3)若明年目标利润为66000元,计算应达到的销售量。解:(1)基期贡献边际=1000×(200-90)=110000(元)

经营杠杆系数=110000÷55000=2

(2)预计可实现利润=55000×(1+2×5%)=60500(元)

(3)利润变动率=(66000-55000)÷55000=20%

销售变动率=20%÷2=10%

销售量=1000×(1+10%)=1100(件)

经营决策分析方法举例

1、A公司原有甲产品,现利用剩余能力开发子或丑产品,开发子产品减产1/3 ,开发丑减产1/2。有关资料如下:

产品名称甲子丑

X(件)3000 1000 1400

P (元/件)50 90 70

b (元/件)30 65 48

a (元) 18000

要求:(1)不考虑减产时,进行生产子或丑产品的决策。

(1) 解:不考虑减产,则无机会成本。固定成本属于共同成本。运用TCM法:

子产品TCM=1000(90-65)= 25000元

丑产品TCM=14000(70-48)=30800元

因为:丑产品TCM>子产品TCM,所以,生产丑产品有利(2) 考虑减产的影响,进行开发子或丑产品的决策。

解:考虑减产的影响,则存在机会成本。

子产品机会成本=(50-30)×3000×1/3=20000元

丑产品机会成本=(50-30)×3000×1/2=30000元

则:子产品相关收益=25000-20000=5000元

丑产品相关收益=30800-30000=800元

因为:子产品的相关收益高,所以开发子产品有利

2、假定企业只生产甲产品,正常能力100

台,目前产销80台,P=1000元/件,单位产

品成本资料如下:直接材料300元,直接人

工200元,变动制造费100元,固定制造费

200元,单位产品成本800元。根据以下不相关情况,作出是否接受追加订货的决策。

(1)接受追加订货20台,出价700元

(2)接受追加订货40台,出价700元

(3)接受追加订货20台,剩余能力可出租,获得租金净收

益3500元。

解:(1)追加20台,不超过生产能力,则未发生专属成本。由于剩余生产能力不能转移利用,因此不发生机会成本。

根据以上分析,采用贡献边际法。

相关单位成本=300+200+100=600元

TCM=20×(700- 600)=20×100 =2000元

∵TCM>0∴应接受追加订货20台

2)接受追加订货40台,超过剩余生产能力,为接受追加订货40台必须减少正常生产量20台,所以存在机会成本——减少正常生产量20台的收益。

机会成本=20×(1700-600)=8000元

根据以上分析,应采用相关收益法决策

接受追加订货40台的相关收益=40×(700-600)- 8000=-4000

因为:相关收益为负,所以:不接受追加订货40台。(3)接受追加订货20台,不超过生产能力,

则未发生专属成本。由于剩余生产能力转移利

用,因此发生机会成本3500元。根据以上分析,采用相关收益法。

相关单位产品成本=300+200+100=600元

相关收益=20×(700- 600)— 3500 =20×100 — 3500 =

-1500

∵相关收益<0∴不接受追加订货20台,应出租剩余生产能力可多获利1500元。

3、利源公司专门制造汽车发动机,其中某项零件过去是自制的,近有某外商愿提供该零件,开价18元/个,公司要求财务科编制零件近一年实际成本,以便决定取舍。单位零件实际成本如下:直接材料6元,直接人工5元,变动制造费3元。专属制造费总额16000元,固定制造费(共同)48000元。要求:

(1)假定公司停止该零件生产,其生产设备无他用,当利源公司零件需要量为多少,才能外购?

解:(1)因为未知业务量,且零件自制或外购所取得的收入一致,故采用成本无差别点法。

令:X为零件需要量

Y外=18X

Y自=14X+16000

令:Y外=Y自有:18X=14X+16000 ∴X=4000件

讨论:当X> 4000件,Y外> Y自,自制优

X < 4000件,Y外< Y自,外购优

(2)若全年零件需要8000个,停产该零件后,生产设备可用于新产品生产,每年提供50000元的净利,问利源公司是否购入该零件?

解:因为业务量已知且发生机会成本,所以采用相关收益法决策。

Y外=8000×18=144000元

Y自=50000+16000+14×8000 =66000+11200=178000元

因为Y外

4、某公司一直用半自动化设备生产甲产品,其最大生产能力40000件,其b=16元/件,a=200000元,P=36元/件,

现提高产品产量与质量,准备购置全自动化设备,可使a增加50%,生产能力提高25%,但b降低到11元。问什么情况采用自动化设备生产甲产品?

解:采用不同设备生产产品获得的收入是相同的。本题未知业务量,所以采用成本无差别分析法。令:X为设备的生产产品数量

Y半=200000+16X

Y自=300000+11X

令:200000+16X=300000+11X

X=20000件

讨论:X > 20000件,Y半大于Y自,自动设备生产优

X < 20000件,Y半小于Y自,半自动设备生产优已知:某企业只生产一种产品,全年最大生产能力是1200件。

年初已按100元/件的价格接受正常任务1000件,该产品的单位完全生产成本为80元每件(其中,单位固定生产成本25元)。现有一客户要求以70元/件的价格追加订货。

要求:请考虑以下不相关的情况,为企业作出是否接受低价追加订货的决策,并说明理由。

(1)、剩余能力无法转移,追加订货量为200件,不追加专属成本;

(2)、剩余能力无法转移,追加订货量为200件,但因有特殊要求,企业需追加1000元专属成本;

(3)、同(1),但剩余能力可用于对外出租,并可获租金收入5000元;

(4)、剩余生产能力无法转移,追加订货量为300件;因为有特殊要求,企业需追加900元专属成本。

解:(1)接受订货的损益=70×200–(80–25)×200=3000元>0,所以接受订货

(2)接受订货的损益=70×200–[(80-25)×200+1000]=2000元>0,所以接受订货

(3)接受订货的损益=70×200-[(80-25)×200+5000]=-2000元<0,所以拒绝订货

(4)接受订货的损益=70×300-[(80-25)×200+100×(300-200)+900]=-900元<0,所以拒绝该订货

例:某项目原始投资210万,其中固定资产投资120万元于建设起点一次投入,无形资产投资25万元,流动资金投资65万元。该项目建设期为2年,建成时投入无形资产投资和流动资金投资。经营期5年,到期残值8万元,无形资产投资从投产年份起分5年摊销完毕。投产后,年营业收入170万,年经营成本80万,该企业按直线法折旧,全部流动资金于终点回收,所得税率33% ,折现率10%,要求:

(1)计算项目的现金流量

解:项目计算期n = 2+5 =7 年

NCF0= —120 万元

NCF1=0

NCF2= —90万元

NCF3-6=年净利+年折旧+年摊销

其中:年折旧=(120 - 8)/5 = 22.4万元

年净利=(年收入-年经营成本-年折旧-年摊销)(1—T)

=(170 - 80 - 22.4 - 25/5)×(1—33%)= 41.942万元NCF3—6= 41.942 + 22.4 + 5 = 69.342万元

NCF7 = 69.342 + 8 + 65 = 142.342万元

经营期NCF现值=69.342×(P/A.10%.4)×(P/F.10%.2)+ 142.342×(P/F.10%.7)

=69.342×3.1699×0.8264 +142.342×0.5132

=181.6487+73.0499=254.6986万元

要求计算项目的NPV并评价项目的可行性。

解:项目的NPV = 254.6986 – 194.376 = 60.322万元∵NPV > 0 ∴项目可行

PI = 经营期NCF现值/ 投资现值当:PI > 1 项目可行

PI = 254.6986/ 194.376 =1.31 所以项目可行

已知:企业现有一台旧设备,尚可继续使用5年,预计5年后残值为3000元,目前变价出售可获30 000元。使用该设备每年获营业收入650 000元,经营成本450 000元。市场上有一新型号设备,价值100 000元,预计5年后残值为6 000元。使用新设备不回增加收入,但可使每年经营成本降低30 000元。如果企业所得税率为33%。

要求:

(1)分别确定新旧设备的原始投资差额。

(2)分别计算新旧设备的每年折旧差额。

(3)分别计算新旧设备的每年净利润差额。

(4)计算新旧设备各年的净先进流量NCF。

解:

(1)原始投资差额=100 000-30 000=70 000(元)

(2)折旧差额=(100 000-6 000)/5 –(30 000-3 000)/5

=18 800-5 400=13 400(元)

(3)新设备每年净利润=(650 000 -(450000-30000)-188000)×(1-33%)

= 141 504(元)

旧设备每年净利润=(650 000-450 000-5 400)×(1-33%)=130 382(元)

新旧每年净利差=141 504-130 382=11 122(元)

新设备:

NCF0= -100 000(元)

NCF1-4=141 504+18 800=160 304(元)

NCF5=141 504+18 800+6 000=166 304(元)旧设备:

NCF0= -30 000(元)

NCF1-4=141 504+18 800=160 304(元)

NCF5=130 382+5 400+3 000=138 782(元)

例:某固定资产投资项目在建设起点投资100万元,当年完工并投产,投产后每年获利15万元。该项固定资产寿命为10年,按直线法计提折旧,期满无残值。已知该项目基准折现率为12%。

要求:

(1)计算项目计算期,计算固定资产原值和每年折旧额。

(2)计算该项目各年的净现金流量。

(3)计算该项目的静态投资回收期。

(4)计算该项目的净现值。、

(5)根据以上指标评价该项目的财务可行性。

(9年,12%的年金现值系数)= 5、32825

(10年,12%的年金现值系数)=5、65022

(10年,12%的复利现值系数)=0、32197 解:(1)项目计算期=0+10=10 (年)

(2)固定资产原值=100+0=100 (万元)

年折旧=(100-0)/10=10 (万元)

(3)净现金流量:NCF0=-100 (万元)

NCF1—10=15+10=25 (万元)

静态投资回收期=100/25=4年

(4) 净现值=-100+25×5、65022≈41.26 (万元)

(5) 因为静态投资回收期=4年﹤n/2=5 年净现值=41.26万元﹥0所以该项目有财务可行性

销售预算(教材308页)

生产预算(教材309页)

直接材料采购预算

(教材311页)

1、2季度A材料采购量

= 1640*3 + 5850*30% - 4920*30%= 4920 + 1755 –1476 = 5199Kg

2、2季度A材料采购金额= 5199*5 =25995元

3、2季度A材料采购现金支出= 25995*50% +19630*50%=22812.5元

某投资中心投资额100000元,年净利润18000元,企业为该投资中心规定的投资报酬率15%,计算该中心的投资报酬率和剩余收益。

解:投资报酬率= 18000/100000 = 18%

剩余收益= 18000 - 100000*15% = 3000元

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