Bi 1:

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Bi 1:Phn xngNng sut lao ng

m/cng nhnSn lng

(mt)

A40120030

B45202545

C50160040

4825115

Tnh nng sut lao ng bnh qun ca cng nhn cc phn xng.

Gii:

: nng sut lao ng (m/cng nhn)

: Sn lng (mt)

: s cng nhn

(m/cng nhn)

Bi 2 ( Bi tp 7 Trang 198 )Di y l ti liu phn t theo khi lng c nh c ca mi thuyn trong on thuyn nh c.

Khi lng c (t)S thuynTng lng c

Di 25512.562.5

25 501337.5487.5

50 751664.51032

75 100887.5700

100 1256112.5675

482925

a. Tnh s trung bnh c nh c ca mi thuyn.

b. Tnh trung v, mt v khi lng c nh c ca mi thuyn

c. So snh kt qu cu a v cu b v cho nhn xt v phn phi ca dy s.

Gii:a. : Tng lng c

: S thuyn

(t/thuyn)

b. (t)

Bi 3:Phn xngNng sut lao ng (SP/CNS cng nhn% hon thnh k hochGi thnh 1sp (triu ng)Sn lng

A4040982.016001632.63200

B35501022.217501715.63850

C50601041.830002884.65400

D40501002.0200020004000

200083508232.816450

1. Hy tnh nng sut lao ng ca cng nhn cc phn xng

2. Hy tnh % hon thnh k hoch ca cc phn xng

3. Hy tnh gi thnh bnh qun ca gi thnh sn phm

Gii:1. (sp/cn)

2. (%)

3.

Bi 4: C 3 cng nhn cng sn xut mt loi sn phm trong 8 gi. Ngi th 1 sn xut 1 sn phm ht 8 pht. Ngi th 2 sn xut 1 sn phm ht 10 pht. Ngi th 3 sn xut 1 sn phm ht 6 pht. Hy tnh thi gian hao ph bnh qun sn xut 1 sn phm ca 3 ngi cng nhn ni trn.

Gii:

(pht/sp)

Bi 5:Cho s liu thng k 3 phn xng ca 1 doanh nghip nh sau:

Phn xngNng sut lao ng (SP/ngi)S sn phm (sn phm)Gi thnh 1 sn phm (triu ng)

A2020020

B2224219

C2436018

80236

1. Tnh nng sut lao ng bnh qun chung cho 3 phn xng

2. Tnh gi thnh n v sn phm bnh qun chung cho 3 phn xng trn.

3. So snh phn tn gia nng sut lao ng v gi thnh n v sn phm.

Gii:

1.

(sp/cn)

2.

(triu ng/sp)

3.

Trong :

= 22.278 (sp/cn)

= 18.800 (triu ng/sp)

: nng sut lao ng tng phn xng

: s cng nhn tng phn xng

(sp/cn)

: gi thnh tng sn phm

: s sn phm

(triu ng )

Bi 6:

C s liu ca mt doanh nghip nh sau:

Chi ph qung co (triu ng)Doanh thu triu ng

252010404270400

4540216016291600

5590295025348100

6610366036372100

8630504064396900

106406400100409600

3530212502452088700

1. Hy xy dng phng trnh hi quy tuyn tnh biu din nh hng ca chi ph qung co ti doanh thu v gii thch cc ngha tham s.

2. Hy nh gi mc cht ch ca mi lin h gia qung co v doanh thu.

Gii:

1. Phng trnh hi quy tuyn tnh c dng:

: chi ph qung co

: doanh thu

: gi tr iu chnh ca doanh thu

=>

= 494.29 phn nh nh hng ca tt c cc nguyn nhn khc ti doanh thu.

= 16.12 phn nh nh hng trc tip ca chi ph qung co ti doanh thu. C th khi chi ph qung co tng thm 1 triu ng th lm cho doanh thu tng bnh qun 16.12 triu ng.

2.

Bi 7 (Bi 3 - trang 410 )

C d liu v mc tiu th ca mt nhm mt hng ca Cng ty X ti mt th trng nh sau:

Mt hngDoanh thuT l % tng, gim gi

Qu I

Qu II

A360000370500-2.597.5

B393000404880-3.696.4

C177000189400-5.394.7

930000964780

1. Tnh ch s tng hp gi theo cc cng thc ch s Laspeyres v ch s Passche.

2. Tnh ch s tng hp lng hng tiu th theo cc cng thc ch s Laspeyres v ch s Passche.

3. Vi gi nh lng hng tiu th c nh k nghin cu, hy xc nh mc tng (gim) doanh thu do nh hng bin ng gi bn cc mt hng qu II so vi qu I.

Gii:

1.

(ln) hay 96.5 %

(ln)

hay 96.5%

2. (ln)hay 107.5 %

(ln)hay 107.5 %

3.

(nghn)

4. Nu ct cui cng ca bi khng cho t l % tng hoc gim gi m cho t l % tng hoc gim lng ca qu II so vi qu I th yu cu s 2 s l:

Mt hngDoanh thuT l % tng, gim lng

Qu I

Qu II

A360000370500-2.597.5

B393000404880-3.696.4

C177000189400-5.394.7

930000964780

1.

EMBED Equation.3 (ln)hay 107.5 %

5. Vn dng phng php ch s phn tch bin ng tng doanh thu ca 3 mt hng qu II so vi qu I do nh hng ca 2 nhn t gi v lng.

Bc 1: Vit h thng ch s:

(ln. %)

Bc 2: Tnh bin ng tng i:

1.037 = 0.965 . 1.075 (ln)

( I 1) 0.037 -0.035 0.075 (ln)

3.7% -3.5% 7.5%

- Bc 3: Tnh bin ng tuyt i:

34780 = -35220 + 70000 (ln)

Bc 4: Nhn xt:

Tng doanh thu ca cc mt hng qu II so vi qu I tng 3.7% tng ng 34780 (nghn ng) do nh hng ca 2 nhn t:

Do gi gim 3.5% lm cho tng doanh thu ca cc mt hng qu II so vi qu I gim 35220 (nghn ng)

Do lng tng 7.5% lm cho tng doanh thu ca cc mt hng qu II so vi qu I tng 70000 (nghn ng).

Bi 8 (bi 4 trang 411)D liu tng hp v tnh hnh sn xut ca mt x nghip nh sau:

Sn phmChi ph sn xutT l % sn lng thng 2 so vi thng 1

Thng 1

Thng 2

A100104.510110

B20023015115

300334.5

1. Xc nh ch s chung v gi thnh sn phm ca doanh nghip (tnh theo quyn s k gc v k nghin cu)

2. Xc nh ch s chung v sn lng ca doanh nghip (tnh theo quyn s k gc v k nghin cu)

3. Phn tch s bin ng tng chi ph sn xut bng h thng ch s theo phng php lin hon.

Gii:

1. (ln) hay 98%

(ln)

2. (ln)

(ln)

3. - Bc 1:

Bc 2:

0.115= -0.017 0.133

11.5% -1.7% 13.3%

- Bc 3:

34.5 = -5.5 + 40 (triu ng)

Bc 4:

Tng doanh thu ca cc mt hng thng 2 so vi thng 1 tng 11.5% tng ng 34.5 triu ng do nh hng ca 2 nhn t:

Do gi gim 1.7% lm cho tng doanh thu ca cc mt hng thng 2 so vi thng1 gim 5.5 triu ng.

Do lng tng 13.3% lm cho tng doanh thu ca cc mt hng thng 2 so vi thng 1 tng 40 triu ng.

Bi 9:C s liu thng k v tnh hnh thu hoch la trong nm 2009 ca cc t hp tc x nh sau:

HTXV ng xunV h thu

Nng sut (ta/ha)Sn lng (t)Nng sut (ta/ha)Sn lng (t)

A385.51032150

B346.29034180

C368.64033230

x20.440x560

1. Tnh nng sut la trung bnh v ng xun ca cc hp tc x trn

2. Tnh nng sut la trung bnh v h thu ca cc hp tc x trn

3. Tnh nng sut la trung bnh ca mt v trong c nm ca cc hp tc x trn.

Gii

1. (t/ha)

2. (t/ha)

3. : nng sut thu hoch bnh qun tng v

: tng din tch tng v

(t/ha)

Bi 10:C s liu thng k v s sn phm v gi thnh n v sn phm ca cc phn xng nh sau:

S sn phmGi thnh 1 v

1020200100400

1519285225361

2017340400289

2515.5387.5625240.25

3013390900169

10084.51602.52250

1. Xy dng phng trnh hi quy tuyn tnh biu hin nh hng ca s sn phm n gi thnh n v sn phm. Gii thch ngha ca cc tham s trong phng trnh hi quy .

2. nh gi trnh cht ch ca mi lin h gia s sn phm v gi thnh n v sn phm.

Gii:1. Tiu thc nguyn nhn: s sn phm (x)

Tiu thc kt qu: gi thnh n v sn phm (y)

Gi phng trnh hi quy tuyn tnh c dng:

Trong : a v b c xc nh nh sau:

a = 23.9 ni ln nh hng ca cc tiu thc nguyn nhn khc n gi thnh n v sn ( tr tiu thc s sn phm ). Nu s sn phm = 0 =>

b = -0.35 ni ln nh hng ca s sn phm n gi thnh n v sn phm. Khi s sn phm tng ln mt n v sn phm th gi thnh n v sn phm s gim bnh qun mt gi tr tng ng l 0.35 (triu ng/sn phm)

2.

Kt lun: mi lin h gia s sn phm v gi n v sn phm l mi lin h nghch v rt cht ch.

Bi 11:Cho s liu thng k v GO ca mt ngnh giai on

NmGO (t ng)

200410011001

200512022404

200613534059

2007150460016

2008170585025

20092006120036

87521339591

1. Xy dng hm xu th tuyn tnh biu din s pht trin v GO

2. Tnh tc tng hoc gim bnh qun v GO trong giai on trn

3. D on GO ca ngnh vo nm 2010 da vo 3 phng n sau:

D on da vo lng tng tuyt i bnh qun

D on da vo tc pht trin bnh qun

D on da vo hm xu th

Gii:1. Hm xu th tuyn tnh

Trong a v b c xc nh nh sau:

Hm xu th c dng:

2. (ln)

(ln) hay 15%

3. D on da vo tng hoc gim tuyt i bnh qun:

Trong : (t ng)

(t ng)

D on da vo tc pht trin bnh qun:

Trong : (ln)

(t ng)

D on da vo hm xu th:

(t ng)

Bi 12:C s liu thng k v doanh thu ca 3 mt hng trong 1 doanh nghip nh sau:

Mt hngDoanh thu (triu ng)T l tng gim lng

Qu IQu II

A1000120010110

B11001350-595

C125016008108

33504150

1. Tnh ch s tng hp gi theo cng thc Passche

2. Tnh ch s tng hp lng theo cng thc Laspeyses

3. Vn dng phng php ch s phn tch bin ng tng doanh thu ca cc mt hng qu 2 so vi qu 1 do nh hng ca 2 nhn t gi v lng.

Gii:1. (ln)

2. (ln)hay 104 %

3.

1.24 = 1.19 x 1.04 (ln)

(I 1) 0.24 0.19 0.04 (ln)

800 = 655 + 145 ( triu ng )

Nhn xt:

Tng doanh thu ca cc mt hng qu 2 so vi qu 1 tng 24% tng ng tng 800 triu ng do nh hng ca 2 nhn t:

Gi tng 19% lm cho tng doanh thu ca cc mt hng qu 2 so vi qu 1 tng 655 triu ng.

Do lng tng 4% lm cho tng doanh thu ca cc mt hng qu 2 so vi qu 1 tng 145 triu ng.

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