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Файл:Особенности развития мировой экономики и внешнеэкономической деятельности в условиях глобализации и регионализации. Монография
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Ɏɢɧɚɧɫɨɜɵɣ ɫɱɺɬ ɨɬɪɚɠɚɟɬ ɪɟɚɥɶɧɵɣ ɦɟɠɞɭɧɚɪɨɞɧɵɣ
ɢɧɜɟɫɬɢɰɢɨɧɧɵɣ ɩɪɨɰɟɫɫ ɫɬɪ - ɫɬɪ = $660 - $450$ = $210.
&ɚɥɶɞɨ ɩɥɚɬɟɠɧɨɝɨ ɛɚɥɚɧɫɚ ɫɬɪɚɧɵ ɪɚɜɧɨ ɫɭɦɦɟ ɫɚɥɶɞɨ
ɬɟɤɭɳɟɝɨ ɫɱɟɬɚ ɞɜɢɠɟɧɢɹ ɤɚɩɢɬɚɥɚ + ɬɟɤɭɳɟɝɨ ɫɱɺɬɚ +
ɮɢɧɚɧɫɨɜɨɝɨ ɫɱɺɬɚ = $505 + $150 + $210 = $865. ɂɬɨɝ ɦɨɠɟɬ
ɛɵɬɶ ɩɨɥɨɠɢɬɟɥɶɧɵɦ ɨɬɪɢɰɚɬɟɥɶɧɵɦ ɢɥɢ ɪɚɜɧɨɜɟɫɧɵɦ
ȼ ɢɬɨɝɟ ɦɨɠɧɨ ɫɞɟɥɚɬɶ ɜɵɜɨɞ ɱɬɨ ɜ ɧɚɲɟɦ ɫɥɭɱɚɟ ɦɵ ɢɦɟɟɦ
ɩɪɨɮɢɰɢɬ ɩɥɚɬɺɠɧɨɝɨ ɛɚɥɚɧɫɚ ɗɬɨ ɨɡɧɚɱɚɟɬ ɱɬɨ ɧɟɪɟɡɢɞɟɧɬɵ
ɞɨɥɠɧɵ ɡɚɩɥɚɬɢɬɶ ɞɚɧɧɨɣ ɫɬɪɚɧɟ ɛɨɥɶɲɟ ɱɟɦ ɞɚɧɧɚɹ ɫɬɪɚɧɚ —
ɧɟɪɟɡɢɞɟɧɬɚɦ
Ɂɚɞɚɱɚ 2.
ɉɨ ɞɚɧɧɵɦ ɩɨɤɚɡɚɬɟɥɹɦ ɫɢɫɬɟɦɵ ɧɚɰɢɨɧɚɥɶɧɵɯ ɫɱɟɬɨɜ
ɫɬɪɚɧɵ ɪɚɫɫɱɢɬɚɣɬɟ ɩɨ ɞɚɧɧɵɦ ɬɚɛɥɢɰɵ ɜ ɦɥɧ $):
1. ɱɢɫɬɵɣ ɧɚɰɢɨɧɚɥɶɧɵɣ ɩɪɨɞɭɤɬ ɑɇɉ
2. ɱɢɫɬɵɣ ɷɤɫɩɨɪɬ ɑɗ
3. ɥɢɱɧɵɣ ɪɚɫɩɨɥɚɝɚɟɦɵɣ ɞɨɯɨɞ ɅȾ
4. ɥɢɱɧɵɟ ɫɛɟɪɟɠɟɧɢɹ Ʌɋ
ɉɨɤɚɡɚɬɟɥɢ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
ȼɇɉ 4800 1000 1200 840 2300 2890
ȼɚɥɨɜɵɟɢɧɜɟɫɬɢɰɢɢ 800 2500 650 750 1870 2500
ɑɢɫɬɵɟɢɧɜɟɫɬɢɰɢɢ 300 350 590 540 480 690
ɉɨɬɪɟɛɥɟɧɢɟ 300 650 359 420 5540 3396
Ƚɨɫɡɚɤɭɩɤɢɬɨɜɚɪɨɜɢɭɫɥɭɝ 960 250 360 490 4309 5569
ɂɡɛɵɬɨɤɝɨɫɛɸɞɠɟɬɚ 300 150 529 360 4560 5849
Ɋɟɲɟɧɢɟ
1. ɑɇɉ ɨɬɥɢɱɚɟɬɫɹ ɨɬ ȼɇɉ ɧɚ ɜɟɥɢɱɢɧɭ ɚɦɨɪɬɢɡɚɰɢɢ ɇɚ ɷɬɭ
ɠɟ ɜɟɥɢɱɢɧɭ ɨɬɥɢɱɚɸɬɫɹ ɜɚɥɨɜɵɟ ɢ ɱɢɫɬɵɟ ɢɧɜɟɫɬɢɰɢɢ
ɋɥɟɞɨɜɚɬɟɥɶɧɨ ɚɦɨɪɬɢɡɚɰɢɹ = ɫɬɪ - ɫɬɪ = $800 - $300 =
$500. ɬɨɝɞɚ ɑɇɉ = $4800 – $500 = $4300.
Ɍɚɤ ɤɚɤ ɜ ɭɫɥɨɜɢɹɯ ɡɚɞɚɱɢ ɧɟɬ ɤɨɫɜɟɧɧɵɯ ɧɚɥɨɝɨɜ ɢ
ɫɭɛɜɟɧɰɢɣ ɬɨ ɑɇɉ = ɇȾ = 4300 ɦɥɧ $).
Ɍɟ ɜɟɥɢɱɢɧɚ ɱɢɫɬɨɝɨ ɧɚɰɢɨɧɚɥɶɧɨɝɨ ɩɪɨɞɭɤɬɚ ɫɨɫɬɚɜɢɥɚ
4300 ɦɥɧ $.
131
2. Ɍɟɩɟɪɶ ɱɢɫɬɵɣ ɷɤɫɩɨɪɬ ɦɨɠɧɨ ɨɩɪɟɞɟɥɢɬɶ ɤɚɤ ɨɫɬɚɬɨɱɧɭɸ
ɜɟɥɢɱɢɧɭ ɑɗ = ɑɇɉ - ɫɬɪ - ɫɬɪ - ɫɬɪ = $4300 – $300 – $300 –
$960 = 2740 ɦɥɧ $).
Ɍɟ ɜɟɥɢɱɢɧɚ ɱɢɫɬɨɝɨ ɷɤɫɩɨɪɬɚ ɫɨɫɬɚɜɢɥɚ 2740 ɦɥɧ $.
3. Ⱦɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɪɚɫɩɨɥɚɝɚɟɦɨɝɨ ɞɨɯɨɞɚ ɞɨɦɚɲɧɢɯ
ɯɨɡɹɣɫɬɜ ɧɭɠɧɨ ɢɡ ɇȾ ɜɵɱɟɫɬɶ ɩɪɹɦɵɟ ɧɚɥɨɝɢ
Ɉɩɪɟɞɟɥɢɦ ɢɯ ɩɨ ɮɨɪɦɭɥɟ į G–T,ɨɬɫɸɞɚ (- $300) = $960
v
– T. T = 1240$. ɋɥɟɞɨɜɚɬɟɥɶɧɨ y
v
ɉɨɫɤɨɥɶɤɭ y
=C+S,ɬɨ S = $3060 – $300 = 2760 ɦɥɧ $).
= $4300 – $1240 = $3060.
Ɍɨ ɜɟɥɢɱɢɧɚ ɥɢɱɧɨɝɨ ɪɚɫɩɨɥɚɝɚɟɦɨɝɨ ɞɨɯɨɞɚ ɫɨɫɬɚɜɢɥɚ
2760 ɦɥɧ $.
4. Ʌɢɱɧɵɟ ɫɛɟɪɟɠɟɧɢɹ = Ɋɚɫɩɨɥɚɝɚɟɦɵɣ ɥɢɱɧɵɣ ɞɨɯɨɞ –
Ʌɢɱɧɵɟ ɩɨɬɪɟɛɢɬɟɥɶɫɤɢɟ ɪɚɫɯɨɞɵ
ȿɫɥɢ ɩɨɞ ɩɨɬɪɟɛɥɟɧɢɟɦ ɜ ɞɚɧɧɨɣ ɡɚɞɚɱɟ ɩɪɟɞɩɨɥɨɠɢɬɶ
ɥɢɱɧɵɟ ɩɨɬɪɟɛɢɬɟɥɶɫɤɢɟ ɪɚɫɯɨɞɵ ɧɚɫɟɥɟɧɢɹ ɬɨ ɥɢɱɧɵɟ
ɫɛɟɪɟɠɟɧɢɹ ɫɨɫɬɚɜɹɬ $2760 – $300 = $2460 ɦɥɧ $).
Ɍɨ ɜɟɥɢɱɢɧɚ ɥɢɱɧɵɯ ɫɛɟɪɟɠɟɧɢɣ ɫɨɫɬɚɜɢɥɚ 2460 ɦɥɧ $.
Ɂɚɞɚɱɚ 3.
ɋɬɪɚɧɚ ɫ ɧɚɫɟɥɟɧɢɟɦ 30 ɦɥɧ ɱɟɥɨɜɟɤ ɩɪɨɢɡɜɨɞɢɬ ȼȼɉ
ɪɚɜɧɵɣ $900 ɦɥɪɞ Ɉɛɴɟɦ ɷɤɫɩɨɪɬɚ (Q
) ɫɨɫɬɚɜɥɹɟɬ $175 ɦɥɪɞ ɚ
ɷɤɫ
ɨɛɴɟɦ ɢɦɩɨɪɬɚ – $275 ɦɥɪɞ Ɉɩɪɟɞɟɥɢɬɟ ɫɬɟɩɟɧɶ ɨɬɤɪɵɬɨɫɬɢ
ɧɚɰɢɨɧɚɥɶɧɨɣ ɷɤɨɧɨɦɢɤɢ ɩɨɤɚɡɚɬɟɥɶ ɷɤɫɩɨɪɬɚ ɧɚ ɞɭɲɭ
ɧɚɫɟɥɟɧɢɹ
ɉɨɤɚɡɚɬɟɥɢ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
ɑɢɫɥɟɧɧɨɫɬɶɧɚɫɟɥɟɧɢɹɦɥɧɱɟɥ 30 100 120 840 230 289
ȼȼɉɦɥɪɞ$. 900 2500 650 750 1870 2500
ɑɢɫɬɵɣɷɤɫɩɨɪɬɦɥɪɞ $. 175 350 590 540 480 690
ɑɢɫɬɵɣɢɦɩɨɪɬɦɥɪɞ $. 275 650 359 420 540 339
Ɋɟɲɟɧɢɟ
ɋɬɟɩɟɧɶ ɨɬɤɪɵɬɨɫɬɢ ɷɤɨɧɨɦɢɤɢ ɨɩɪɟɞɟɥɹɟɬɫɹ ɭɱɚɫɬɢɟɦ
ɫɬɪɚɧɵ ɜ ɦɟɠɞɭɧɚɪɨɞɧɨɦ ɨɛɦɟɧɟ Ɉɫɧɨɜɧɵɦɢ ɩɨɤɚɡɚɬɟɥɹɦɢ
ɯɚɪɚɤɬɟɪɢɡɭɸɳɢɦɢ ɫɬɟɩɟɧɶ ɨɬɤɪɵɬɨɫɬɢ ɹɜɥɹɟɬɫɹ ɷɤɫɩɨɪɬɧɚɹ
ɤɜɨɬɚ (Ʉ
), ɢɦɩɨɪɬɧɚɹ ɤɜɨɬɚ (Ʉ
ɷɤɫɩ
ɞɭɲɭ ɧɚɫɟɥɟɧɢɹ (Q
ɷɤɫ ɞɧ
).
), ɩɨɤɚɡɚɬɟɥɶ ɷɤɫɩɨɪɬɚ ɧɚ
ɢɦɩ
Ʉɷɤɫɩ >Qɷɤɫɩȼȼɉ ] ɯ
132
Ʉɢɦɩ >Qɢɦɩȼȼɉ ] ɯ
Qɷɤɫ ɞɧ QɷɤɫɩN.
ɗɤɫɩɨɪɬɧɚɹ ɤɜɨɬɚ ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɤɚɤ ɨɬɧɨɲɟɧɢɟ ɨɛɴɟɦɚ
ɷɤɫɩɨɪɬɚ ɜ ɧɚɬɭɪɚɥɶɧɨɦ ɢɥɢ ɫɬɨɢɦɨɫɬɧɨɦ ɜɵɪɚɠɟɧɢɢ ɡɚ
ɨɩɪɟɞɟɥɟɧɧɵɣ ɩɟɪɢɨɞ ɤ ɨɛɴɟɦɭ ɜɧɭɬɪɟɧɧɟɝɨ ɩɪɨɢɡɜɨɞɫɬɜɚ
ɫɨɨɬɜɟɬɫɬɜɭɸɳɟɣ ɩɪɨɞɭɤɰɢɢ ɡɚ ɷɬɨɬ ɩɟɪɢɨɞ ɜ ɩɪɨɰɟɧɬɚɯ
ɗɤɫɩɨɪɬɧɚɹ ɤɜɨɬɚ - ɷɤɨɧɨɦɢɱɟɫɤɢɣ ɩɨɤɚɡɚɬɟɥɶ ɯɚɪɚɤɬɟɪɢɡɭɸɳɢɣ
ɡɧɚɱɢɦɨɫɬɶ ɷɤɫɩɨɪɬɚ ɞɥɹ ɧɚɰɢɨɧɚɥɶɧɨɝɨ ɯɨɡɹɣɫɬɜɚ ɞɥɹ
ɨɬɞɟɥɶɧɵɯ ɨɬɪɚɫɥɟɣ ɢ ɩɪɨɢɡɜɨɞɫɬɜ ɩɨ ɬɟɦ ɢɥɢ ɢɧɵɦ ɜɢɞɚɦ
ɩɪɨɞɭɤɰɢɢ
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɷɤɫɩɨɪɬɧɚɹ ɤɜɨɬɚ ɜ ɞɚɧɧɨɦ ɫɥɭɱɚɟ
ɫɨɫɬɚɜɥɹɟɬ 175 / 900 ɯ 100% = 19%.
Ɍɨ ɟɫɬɶ ɫɬɪɚɧɚ ɚɤɬɢɜɧɨ ɭɱɚɫɬɜɭɟɬ ɜ ɦɟɠɞɭɧɚɪɨɞɧɨɦ ɨɛɦɟɧɟ
ɂ ɷɤɫɩɨɪɬ ɢɝɪɚɟɬ ɞɨɜɨɥɶɧɨ ɡɧɚɱɢɦɭɸ ɪɨɥɶ ɜ ɷɤɨɧɨɦɢɤɟ ɫɬɪɚɧɵ
ɂɦɩɨɪɬɧɚɹ ɤɜɨɬɚ ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɤɚɤ ɨɬɧɨɲɟɧɢɟ ɨɛɴɟɦɚ
ɢɦɩɨɪɬɚ ɜ ɧɚɬɭɪɚɥɶɧɨɦ ɢɥɢ ɫɬɨɢɦɨɫɬɧɨɦ ɜɵɪɚɠɟɧɢɢ ɡɚ ɞɚɧɧɵɣ
ɩɟɪɢɨɞ ɤ ɨɛɴɟɦɭ ɜɧɭɬɪɟɧɧɟɝɨ ɩɨɬɪɟɛɥɟɧɢɹ ɜ ɫɬɪɚɧɟ Ɍɚɤɢɦ
ɨɛɪɚɡɨɦ ɢɦɩɨɪɬɧɚɹ ɤɜɨɬɚ ɜ ɞɚɧɧɨɦ ɫɥɭɱɚɟ ɫɨɫɬɚɜɥɹɟɬ
275 / 900 ɯ 100% = 31%.
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɷɤɨɧɨɦɢɤɚ ɫɬɪɚɧɵ ɨɪɢɟɧɬɢɪɨɜɚɧɚ ɧɚ ɢɦɩɨɪɬ
ɜ ɛɨɥɶɲɟɣ ɫɬɟɩɟɧɢ ɉɨɤɚɡɚɬɟɥɶ ɢɦɩɨɪɬɧɨɣ ɤɜɨɬɵ ɜ ɪɚɡɦɟɪɟ 31%
ɩɨɤɚɡɵɜɚɟɬ ɱɬɨ ɧɚɰɢɨɧɚɥɶɧɚɹ ɷɤɨɧɨɦɢɤɚ ɫɬɪɚɧɵ ɞɨɫɬɚɬɨɱɧɨ
ɨɬɤɪɵɬɚ ɢ ɚɤɬɢɜɧɨ ɭɱɚɫɬɜɭɟɬ ɜ ɦɟɠɞɭɧɚɪɨɞɧɨɦ ɨɛɦɟɧɟ
ɉɨɤɚɡɚɬɟɥɶ ɷɤɫɩɨɪɬɚ ɧɚ ɞɭɲɭ ɧɚɫɟɥɟɧɢɹ = $175000 ɦɥɧ / 30
ɦɥɧ ɱɟɥ = $5833 ɧɚ 1 ɱɟɥ
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɷɤɫɩɨɪɬɧɚɹ ɤɜɨɬɚ ɞɚɧɧɨɣ ɫɬɪɚɧɵ 19%,
ɢɦɩɨɪɬɧɚɹ ɤɜɨɬɚ 31%, ɩɨɤɚɡɚɬɟɥɶ ɷɤɫɩɨɪɬɚ ɧɚ ɞɭɲɭ ɧɚɫɟɥɟɧɢɹ
$5833 ɧɚ 1 ɱɟɥ.
Ɂɚɞɚɱɚ 4.
Ɋɚɫɫɱɢɬɚɣɬɟ
1. Ʉɚɤɨɜɚ ɜɟɥɢɱɢɧɚ ɬɨɪɝɨɜɨɝɨ ɛɚɥɚɧɫɚ"
2. Ʉɚɤɨɜ ɛɚɥɚɧɫ ɬɨɜɚɪɨɜ ɢ ɭɫɥɭɝ"
3. Ʉɚɤɨɜ ɛɚɥɚɧɫ ɞɜɢɠɟɧɢɹ ɤɚɩɢɬɚɥɚ"
4. əɜɥɹɟɬɫɹ ɫɚɥɶɞɨ ɩɥɚɬɟɠɧɨɝɨ ɛɚɥɚɧɫɚ ɫɬɪɚɧɵ ɏ
ɨɬɪɢɰɚɬɟɥɶɧɵɦ ɢɥɢ ɩɨɥɨɠɢɬɟɥɶɧɵɦ"
133
ɂɦɟɸɬɫɹ ɞɚɧɧɵɟ ɩɥɚɬɟɠɧɨɝɨ ɛɚɥɚɧɫɚ ɫɬɪɚɧɵ ɜ ɦɥɧ$.
ɉɨɤɚɡɚɬɟɥɢ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
ɷɤɫɩɨɪɬɬɨɜɚɪɨɜ +40 +100 -120 +84 -230 +289
ɢɦɩɨɪɬɬɨɜɚɪɨɜ -30 -25 -65 -75 +18 -250
ɷɤɫɩɨɪɬɭɫɥɭɝ +15 +35 -90 +40 +80 +90
ɢɦɩɨɪɬɭɫɥɭɝ -10 -65 -35 -42 -40 +96
ɑɢɫɬɵɟɞɨɯɨɞɵɨɬɢɧɜɟɫɬɢɰɢɣ –5 +25 -36 -49 -9 +69
ɑɢɫɬɵɟɞɟɧɟɠɧɵɟɩɟɪɟɜɨɞɵ +10 +50 +29 -36 -45 +58
ɉɪɢɬɨɤɤɚɩɢɬɚɥɨɜɜɫɬɪɚɧɭɏ +10 +13 -5 +70 -34 +50
Ɉɬɬɨɤɤɚɩɢɬɚɥɨɜɢɡɫɬɪɚɧɵɏ –40 -39 --59 -74 -45 -60
Ɉɮɢɰɢɚɥɶɧɵɟɪɟɡɟɪɜɵ +10 +28 +6 +9 -45 +60
Ɋɟɲɟɧɢɟ
1. Ɍɨɪɝɨɜɵɣ ɛɚɥɚɧɫ = ɫɬɪ + ɫɬɪ =40–30=$10ɦɥɧ
2. Ȼɚɥɚɧɫ ɬɨɜɚɪɨɜ ɢ ɭɫɥɭɝ = ɫɬɪ + ɫɬɪ + ɫɬɪ + ɫɬɪ = 40
–30+15–10=$15ɦɥɧ
3. Ȼɚɥɚɧɫ ɞɜɢɠɟɧɢɹ ɤɚɩɢɬɚɥɚ = ɫɬɪ + ɫɬɪ =10 – 40 = – $30
ɦɥɧ
4. ɋɚɥɶɞɨ ɩɥ ɛɚɥɚɧɫɚ = ɫɬɪ + ɫɬɪ + ɫɬɪ + ɫɬɪ - ɫɬɪ +
ɫɬɪ + ɫɬɪ + ɫɬɪ =+40–30+15–10–5+10+10–40=–
$10 ɦɥɧ
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɫɚɥɶɞɨ ɩɥɚɬɟɠɧɨɝɨ ɛɚɥɚɧɫɚ ɫɬɪɚɧɵ ɏ
ɹɜɥɹɟɬɫɹ ɨɬɪɢɰɚɬɟɥɶɧɵɦ
Ɂɚɞɚɱɚ 5.
ɉɪɚɜɢɬɟɥɶɫɬɜɨ ɩɪɢɧɢɦɚɟɬ ɪɟɲɟɧɢɟ ɨ ɜɜɟɞɟɧɢɢ ɬɚɪɢɮɚ ɧɚ
ɢɦɩɨɪɬ ɬɨɜɚɪɚ ɜ ɪɚɡɦɟɪɟ S0,06 ɡɚ 1 ɤɝ ɬɨɜɚɪɚ Ɇɢɪɨɜɚɹ ɰɟɧɚ ɧɚ
ɬɨɜɚɪ ɪɚɜɧɚ S0,3 ɡɚ ɤɝ Ɉɛɴɟɦ ɜɧɭɬɪɟɧɧɟɝɨ ɩɪɨɢɡɜɨɞɫɬɜɚ ɩɪɨɞɭɤɬɚ
ɩɪɢ ɫɜɨɛɨɞɧɨɣ ɬɨɪɝɨɜɥɟ ɫɨɫɬɚɜɥɹɟɬ 18 ɬɵɫ ɤɝ ɜ ɝɨɞ ɚ ɩɪɢ
ɧɚɥɢɱɢɢ ɬɚɪɢɮɚ ɧɚ ɢɦɩɨɪɬ 24 ɬɵɫ ɤɝ ɜ ɝɨɞ Ɉɛɴɟɦ ɜɧɭɬɪɟɧɧɟɝɨ
ɩɨɬɪɟɛɥɟɧɢɹ ɩɪɨɞɭɤɬɚ ɩɪɢ ɫɜɨɛɨɞɧɨɣ ɬɨɪɝɨɜɥɟ ɫɨɫɬɚɜɥɹɟɬ 66 ɬɵɫ
ɤɝ ɜ ɝɨɞ ɚ ɩɪɢ ɬɚɪɢɮɟ ɧɚ ɢɦɩɨɪɬ – 60 ɬɵɫ ɤɝ ɜ ɝɨɞ
Ɉɩɪɟɞɟɥɢɬɟ
ɩɨɬɟɪɢɩɨɬɪɟɛɢɬɟɥɟɣɞɚɧɧɨɣɫɬɪɚɧɵɨɬɜɜɟɞɟɧɢɹɬɚɪɢɮɚ
ɧɚɢɦɩɨɪɬɬɨɜɚɪɚ
ɜɵɢɝɪɵɲɨɬɟɱɟɫɬɜɟɧɧɵɯɩɪɨɢɡɜɨɞɢɬɟɥɟɣɨɬ ɷɬɨɣɦɟɪɵ
ɜɵɢɝɪɵɲɝɨɫɭɞɚɪɫɬɜɚ
134
Ɋɟɲɟɧɢɟ
ɉɪɟɞɫɬɚɜɢɦ ɜɥɢɹɧɢɟ ɢɦɩɨɪɬɧɨɣ ɩɨɲɥɢɧɵ ɧɚ ɪɵɧɨɤ
ɝɪɚɮɢɱɟɫɤɢ
ȼɜɟɞɟɦ ɫɥɟɞɭɸɳɢɟ ɨɛɨɡɧɚɱɟɧɢɹ Ɋ
ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ Ɋ
Q
= 18 ɬɵɫ ɤɝ – ɜɧɭɬɪɟɧɧɟɟ ɩɪɨɢɡɜɨɞɫɬɜɨ ɬɨɜɚɪɚ ɞɨ
1
= $0,36 – ɰɟɧɚ ɬɨɜɚɪɚ ɩɨɫɥɟ ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ
2
= $0,3 – ɰɟɧɚ ɬɨɜɚɪɚ ɞɨ
1
ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ
= 24 ɬɵɫ ɤɝ – ɩɪɨɢɡɜɨɞɫɬɜɨ ɬɨɜɚɪɚ ɜ ɫɬɪɚɧɟ ɩɨɫɥɟ
Q
2
ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ
= 60 ɬɵɫ ɤɝ – ɩɨɬɪɟɛɥɟɧɢɟ ɬɨɜɚɪɚ ɜ ɫɬɪɚɧɟ ɩɨɫɥɟ ɜɜɟɞɟɧɢɹ
Q
3
ɬɚɪɢɮɚ
= 66 ɬɵɫ ɤɝ – ɩɨɬɪɟɛɥɟɧɢɟ ɬɨɜɚɪɚ ɜ ɫɬɪɚɧɟ ɞɨ ɜɜɟɞɟɧɢɹ
Q
4
ɬɚɪɢɮɚ
1) ɋɭɦɦɚ ɩɥɨɳɚɞɟɣ ɮɢɝɭɪ a, b, ɫ ɢ d ɨɬɪɚɠɚɟɬ ɩɨɬɟɪɢ
ɩɨɬɪɟɛɢɬɟɥɟɣ ɨɬ ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ ɢ ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ
S
=Q3xT1+ (Q4–Q3)xT1: 2 = 60000 ɯ 0,06 + (66000-
a+b+c+d
60000) ɯ 0,06) : 2 = 3600 + 180 = $3780
2) ȼɵɢɝɪɵɲ ɩɪɨɢɡɜɨɞɢɬɟɥɟɣ ɨɬ ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ ɨɬɪɚɠɚɟɬ
ɩɥɨɳɚɞɶ ɮɢɝɭɪɵ ɚ ɦɢɧɭɫ ɩɥɨɳɚɞɶ ɮɢɝɭɪɵ b.
ɉɥɨɳɚɞɶ ɮɢɝɭɪɵ ɚ ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:
135
Sa=Q1xT1+ (Q2-Q1)xT1: 2 = 18000 ɯ 0,06 + (24000 -
18000) ɯ 0,06 : 2 = 1080 + 180 =$1260.
ɉɥɨɳɚɞɶ ɮɢɝɭɪɵ b ɨɬɪɚɠɚɟɬ ɞɨɩɨɥɧɢɬɟɥɶɧɵɟ ɪɚɫɯɨɞɵ
ɩɪɨɢɡɜɨɞɢɬɟɥɟɣ ɧɚ ɜɵɩɭɫɤ ɞɨɩɨɥɧɢɬɟɥɶɧɨɣ ɩɪɨɞɭɤɰɢɢ ɩɨɫɥɟ
ɜɜɟɞɟɧɢɹ ɬɚɪɢɮɚ Ɉɧɢ ɪɚɫɫɱɢɬɵɜɚɸɬɫɹ ɩɨ ɮɨɪɦɭɥɟ
= (Q2-Q1)xT1: 2 = (24000-18000) ɯ 0,06 : 2 = $180.
S
b
S
= $1260 – $180 = 1,08
a-Sb
3) ȼɵɢɝɪɵɲ ɝɨɫɭɞɚɪɫɬɜɚ ɪɚɫɫɱɢɬɵɜɚɸɬɫɹ ɩɨ ɮɨɪɦɭɥɟ
= (Q3–Q2)xT1= (60 -24) ɯ 0,06 = $2160.
S
ɫ
Ɉɬɜɟɬ ɉɨɬɟɪɢ ɩɨɬɪɟɛɢɬɟɥɟɣ ɞɚɧɧɨɣ ɫɬɪɚɧɵ ɨɬ ɜɜɟɞɟɧɢɹ
ɬɚɪɢɮɚ ɧɚ ɢɦɩɨɪɬ ɬɨɜɚɪɚ ɫɨɫɬɚɜɥɹɸɬ S3,78 ɬɵɫ ɜɵɢɝɪɵɲ
ɨɬɟɱɟɫɬɜɟɧɧɵɯ ɩɪɨɢɡɜɨɞɢɬɟɥɟɣ ɨɬ ɷɬɨɣ ɦɟɪɵ ɫɨɫɬɚɜɥɹɟɬ S1,08
ɬɵɫ ȼɵɢɝɪɵɲ ɝɨɫɭɞɚɪɫɬɜɚ ɫɨɫɬɚɜɥɹɟɬ 2,16 ɬɵɫ
Ⱦɚɧɧɵɟ ɩɨ ɜɚɪɢɚɧɬɚɦ ɡɚɞɚɧɢɹ ɛɟɪɢɬɟ ɢɡ ɬɚɛɥɢɰɵ
ɉɨɤɚɡɚɬɟɥɢ
Ɍɚɪɢɮɧɚɢɦɩɨɪɬ $ ɡɚɤɝɬɨɜɚɪɚɌ 0,06 1,0 1,20 8,4 2,3 2,89
ɦɢɪɨɜɚɹɰɟɧɚ $ɡɚɤɝɬɨɜɚɪɚ3
3. Ɉɛɴɟɦɜɧɭɬɪɟɧɩɪɨɢɡɜɨɞɫɬɜɚɞɨɜɜɟɞɟɧɢɹ
ɬɚɪɢɮɚ ɬɵɫɤɝQ
4. Ɉɛɴɟɦɜɧɭɬɪɟɧɩɪɨɢɡɜɨɞɫɬɜɚɩɨɫɥɟ
ɜɜɟɞɟɧɢɹɬɚɪɢɮɚɬɵɫɤɝQ
ɋɩɪɨɫɞɨɜɜɟɞɟɧɢɹɬɚɪɢɮɚɬɵɫɤɝQ
ɋɩɪɨɫɩɨɫɥɟɜɜɟɞɟɧɢɹɬɚɪɢɮɚɬɵɫɤɝQ
1
1
2
4
3
ȼɚɪ1ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
0,30 2,5 6,5 7,5 18 25,7
18 35 90 40 80 90
24 65 135 42 140 96
66 125 186 49 199 169
60 90 159 46 165 158
Ɂɚɞɚɱɚ 6.
Ɉɩɪɟɞɟɥɢɬɶ ɫɭɦɦɭ ɧɚɥɨɝɨɜ ɜɯɨɞɹɳɢɯ ɜ ɫɨɫɬɚɜ ɬɚɦɨɠɟɧɧɵɯ
ɩɥɚɬɟɠɟɣ ɩɪɢ ɜɜɨɡɟ ɜ ɊɎ ɜɢɧɚ Ƚɪɭɡ 6000 ɥ ɬɚɦɨɠɟɧɧɚɹ
ɫɬɨɢɦɨɫɬɶ – 0,8 ɟɜɪɨɥ ɩɨɲɥɢɧɚ – 0,5 ɪɥ ɫɩɟɰɢɚɥɶɧɚɹ ɩɨɲɥɢɧɚ
–1,5%;ɞɨɩɨɥɧɢɬɟɥɶɧɚɹ ɢɦɩɨɪɬɧɚɹ ɩɨɲɥɢɧɚ –5%;ɚɤɰɢɡ –7
ɪɥ ɇȾɋ –18%.Ʉɭɪɫ ȿɜɪɨ ɤ ɪɭɛɥɸ – 70,0 ɪɭɛ
Ⱦɚɧɧɵɟɩɨɜɚɪɢɚɧɬɚɦɡɚɞɚɧɢɹɛɟɪɢɬɟɢɡɬɚɛɥɢɰɵ
ɉɨɤɚɡɚɬɟɥɢ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
Ƚɪɭɡɜɥ 6000 10000 9500 8000 2300 28900
2. Ɍɚɦɨɠɟɧɧɚɹɫɬɨɢɦɨɫɬɶɜ¼ɥ 0,8 0,5 0,5 0,7 1,8 2,7
3. ɉɨɲɥɢɧɚɪɭɛɥ 0,5 3,0 0,9 0,4 0,8 0,9
4. ɋɩɟɰɢɚɥɶɧɚɹɩɨɲɥɢɧɚɜ 1,5 2,5 1,35 4,2 1,4 0,96
5. Ⱦɨɩɨɥɧɢɬɟɥɶɧɚɹɢɦɩɨɪɬɧɚɹɩɨɲɥɢɧɚ 52649 6
6. Ⱥɤɰɢɡɜɪɭɛɥ 7 9 12 6 5 8
ɇȾɋɜ 18 20 18 19 17 18
8. Ʉɭɪɫȿɜɪɨɤɪɭɛɥɸɜɪɭɛ 70 72 71 66 65 73
136
Ɋɟɲɟɧɢɟ
Ɍɚɦɨɠɟɧɧɚɹ ɫɬɨɢɦɨɫɬɶ = 6000×0,8 = 4800,00 € = 336000 ɪɭɛ
Ɍɚɦɨɠɟɧɧɚɹ ɩɨɲɥɢɧɚ = 6000×0,5 ɪɥ = 3000 ɪɭɛ = 42,86 €.
ɋɩɟɰɢɚɥɶɧɚɹ ɩɨɲɥɢɧɚ = 4800×1,5 % = 72 € = 5040 ɪɭɛ
Ⱦɨɩɨɥɧɢɬɟɥɶɧɚɹ ɢɦɩɨɪɬɧɚɹ ɩɨɲɥɢɧɚ = 4800,00×5 % = 240,0
€ = 16800,00 ɪɭɛ
Ⱥɤɰɢɡ = 6000×7 ɪɭɛɥ = 42000 ɪɭɛ = 600.00 €.
ɇȾɋ = (336000+3000+16800+42000)×18% = 71604 ɪɭɛ =
1022,91 €.
Ɂɚɞɚɱɚ 7.
Ɋɨɫɫɢɣɫɤɢɣ ɡɚɜɨɞ ɟɠɟɞɧɟɜɧɨ ɷɤɫɩɨɪɬɢɪɭɟɬ ɜ Ʉɚɡɚɯɫɬɚɧ ɞɥɹ
ɩɪɨɢɡɜɨɞɫɬɜɚ ɚɜɬɨɦɨɛɢɥɶɧɵɯ ɩɨɤɪɵɲɟɤ ɨɤɨɥɨ 100 ɬ
ɬɟɯɧɢɱɟɫɤɨɝɨ ɭɝɥɟɪɨɞɚ ɩɨ ɰɟɧɟ 1000 ɞɨɥɥ ɡɚ ɬɨɧɧɭ ɂɡɞɟɪɠɤɢ
ɩɪɨɢɡɜɨɞɫɬɜɚ ɨɞɧɨɣ ɬɨɧɧɵ ɬɟɯɧɢɱɟɫɤɨɝɨ ɭɝɥɟɪɨɞɚ ɫɨɫɬɚɜɥɹɸɬ 15
ɬɵɫ ɪɭɛ
Ɉɩɪɟɞɟɥɢɬɟ ɤɚɤ ɢɡɦɟɧɢɬɫɹ ɟɠɟɦɟɫɹɱɧɚɹ ɩɪɢɛɵɥɶ
ɷɤɫɩɨɪɬɟɪɚ ɜ ɧɚɰɢɨɧɚɥɶɧɨɣ ɜɚɥɸɬɟ ɟɫɥɢ ɨɛɦɟɧɧɵɣ ɤɭɪɫ
ɢɡɦɟɧɢɬɫɹ ɫ 62 ɪɭɛ ɞɨ 60 ɪɭɛ ɡɚ 1 ɞɨɥɥɚɪ
Ⱦɚɧɧɵɟɩɨɜɚɪɢɚɧɬɚɦɡɚɞɚɧɢɹɛɟɪɢɬɟɢɡɬɚɛɥɢɰɵ
ɉɨɤɚɡɚɬɟɥɢ
ɗɤɫɩɨɪɬɜɬ 100 700 950 800 230 289
2. Ɍɚɦɨɠɟɧɧɚɹɫɬɨɢɦɨɫɬɶ$ɬ 1000 1500 250 700 1800 2700
3. ɂɡɞɟɪɠɤɢɩɪɨɢɡɜɨɞɫɬɜɚ
ɬɵɫɪɭɛɬ
Ɉɛɦɟɧɧɵɣɤɭɪɫɪɭɛɥɹɤɡɚ
ɩɪɨɲɥɵɣɩɟɪɢɨɞ
5. Ɉɛɦɟɧɧɵɣɤɭɪɫɪɭɛɥɹɤɜ
ɧɚɫɬɨɹɳɟɟɜɪɟɦɹ
ȼɚɪ1ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
15 30 9 40 28 39
62 65 63 54 64 63
60
62 66 64 69 66
Ɋɟɲɟɧɢɟ
ɂɡɞɟɪɠɤɢ ɩɪɨɢɡɜɨɞɫɬɜɚ ɟɠɟɦɟɫɹɱɧɨ ɫɨɫɬɚɜɥɹɸɬ 1,5 ɦɥɧ
ɪɭɛ (15 000 × 100 = 1 500 000 ɪɭɛ
ȿɫɥɢ ɤɨɥɢɱɟɫɬɜɨ ɪɚɛɨɱɢɯ ɞɧɟɣ ɜ ɦɟɫɹɰɟ ɜ ɫɪɟɞɧɟɦ ɪɚɜɧɨ 22
ɞɧɹɦ ɬɨ ɫɪɟɞɧɟɦɟɫɹɱɧɵɣ ɞɨɯɨɞ ɪɨɫɫɢɣɫɤɨɝɨ ɡɚɜɨɞɚ ɫɨɫɬɚɜɥɹɟɬ 2
ɦɥɧ 200 ɬɵɫ ɞɨɥɥ (1000 × 100 × 22 = $2 200 000).
ɉɪɢ ɤɭɪɫɟ 62 ɪɭɛ ɡɚ 1 ɞɨɥɥ ɞɨɯɨɞ ɡɚɜɨɞɚ ɟɠɟɦɟɫɹɱɧɨ
ɫɨɫɬɚɜɥɹɥ 136 ɦɥɧ 400 ɬɵɫ ɪɭɛ (62 × 2 200 000 = 136400 000
137
ɪɭɛ ȿɠɟɦɟɫɹɱɧɚɹ ɩɪɢɛɵɥɶ ɡɚɜɨɞɚ ɩɪɢ ɷɬɨɦ ɫɨɫɬɚɜɥɹɥɚ 134
ɦɥɧ ɬɵɫ ɪɭɛ (136400 000 - 1 500 000 = 134900000 ɪɭɛ
ɉɪɢ ɤɭɪɫɟ 60 ɪɭɛ ɡɚ 1 ɞɨɥɥ ɟɠɟɦɟɫɹɱɧɵɣ ɞɨɯɨɞ ɡɚɜɨɞɚ
ɫɨɤɪɚɬɢɬɫɹ ɞɨ 132 ɦɥɧ ɪɭɛ (60×2 200 000 = 132 000 000 ɪɭɛ
ȿɠɟɦɟɫɹɱɧɚɹ ɩɪɢɛɵɥɶ ɩɪɢ ɷɬɨɦ ɛɭɞɟɬ ɪɚɜɧɚ 130 ɦɥɧ 500 ɬɵɫ
ɪɭɛ (132000000 - 1500000 = 130500000 ɪɭɛ
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ ɜɫɥɟɞɫɬɜɢɟ ɪɨɫɬɚ ɤɭɪɫɚ ɧɚɰɢɨɧɚɥɶɧɨɣ
ɜɚɥɸɬɵ ɟɠɟɦɟɫɹɱɧɚɹ ɩɪɢɛɵɥɶ ɪɨɫɫɢɣɫɤɨɝɨ ɷɤɫɩɨɪɬɟɪɚ
ɫɨɤɪɚɬɢɬɫɹ ɧɚ 4,4 ɦɥɧ ɪɭɛ (134900000 – 130500000 = 4400000
ɪɭɛ ɢɥɢ ɩɨɱɬɢ ɧɚ 3,6% (100 – 130500000 ɯ 100: 134900000 § 4).
Ɂɚɞɚɱɚ 8.
Ɉɩɪɟɞɟɥɢɬɶ ȼɇɉ ɞɜɭɦɹ ɫɩɨɫɨɛɚɦɢ ȼȼɉ ɑɇɉ ɇȾ ɅȾ
ɊɅȾ ɥɢɱɧɵɟ ɫɛɟɪɟɠɟɧɢɹ ɫɚɥɶɞɨ ɬɨɪɝɨɜɨɝɨ ɛɚɥɚɧɫɚ ɱɢɫɬɵɟ
ɢɧɜɟɫɬɢɰɢɢ
Ⱦɚɧɵ ɦɚɤɪɨɷɤɨɧɨɦɢɱɟɫɤɢɟ ɩɨɤɚɡɚɬɟɥɢ ɜ $ ɦɥɪɞ
ɉɨɤɚɡɚɬɟɥɢ
Ʉɨɫɜɟɧɧɵɟɧɚɥɨɝɢɧɚɛɢɡɧɟɫ 11 10 90 80 23 28
Ɂɚɪɚɛɨɬɧɚɹɩɥɚɬɚ 382 445 345 721 180 275
Ⱦɨɯɨɞɵɩɨɥɭɱɟɧɧɵɟɡɚɪɭɛɟɠɨɦ 12 30 0,9 0,4 0,8 0,9
ɉɪɨɰɟɧɬɵɩɨɝɨɫɭɞɚɪɫɬɜɟɧɧɵɦ
ɨɛɥɢɝɚɰɢɹɦ
Ⱥɪɟɧɞɧɚɹɩɥɚɬɚ 24 26 63 45 95 68
Ⱦɨɯɨɞɵɨɬɫɨɛɫɬɜɟɧɧɨɫɬɢ 63 9 12 6 5 8
ɗɤɫɩɨɪɬ 57 204 18 19 174 18
ɋɬɨɢɦɨɫɬɶɩɨɬɪɟɛɥɟɧɧɨɝɨɤɚɩɢɬɚɥɚ 17 54 21 33 43 65
Ƚɨɫɭɞɚɪɫɬɜɟɧɧɵɟɡɚɤɭɩɤɢɬɨɜɚɪɨɜɢ
ɭɫɥɭɝ
Ⱦɢɜɢɞɟɧɞɵ 18 23 43 54 64 68
ɇɟɪɚɫɩɪɟɞɟɥɟɧɧɚɹɩɪɢɛɵɥɶ
ɤɨɪɩɨɪɚɰɢɣ
ɉɪɨɰɟɧɬɧɵɟɩɥɚɬɟɠɢ 25 64 45 78 29 33
ȼɚɥɨɜɵɟɢɧɜɟɫɬɢɰɢɢ 76 120 65 98 211 46
Ɍɪɚɧɫɮɟɪɬɧɵɟɩɥɚɬɟɠɢ 16 24 34 54 66 74
Ɋɚɫɯɨɞɵɧɚɥɢɱɧɨɟɩɨɬɪɟɛɥɟɧɢɟ 325 234 456 543 654 735
ɂɦɩɨɪɬ 10 19 29 94 95 84
ɂɧɞɢɜɢɞɭɚɥɶɧɵɟɧɚɥɨɝɢ 41 65 87 76 48 89
ɇɚɥɨɝɧɚɩɪɢɛɵɥɶɤɨɪɩɨɪɚɰɢɣ 9 20 43 55 75 32
ȼɡɧɨɫɵɧɚɫɨɰɢɚɥɶɧɨɟɫɬɪɚɯɨɜɚɧɢɟ 43 85 59 94 38 77
Ⱦɨɯɨɞɵɩɨɥɭɱɟɧɧɵɟɢɧɨɫɬɪɚɧɰɚɦɢ 8 21 29 9 7 23
ȼɚɪ1ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
2,5 135 42 14 96
19
86 95 86 120 219
105
6 71 25 33 21
4
138
Ɋɟɲɟɧɢɟ
ȼɇɉ ɩɨ ɪɚɫɯɨɞɚɦ = Ɋɚɫɯɨɞɵ ɧɚ ɥɢɱɧɨɟ ɩɨɬɪɟɛɥɟɧɢɟ +
ȼɚɥɨɜɵɟ ɢɧɜɟɫɬɢɰɢɢ + Ƚɨɫɡɚɤɭɩɤɢ ɬɨɜɚɪɨɜ ɢ ɭɫɥɭɝ + ɑɢɫɬɵɣ
ɷɤɫɩɨɪɬ ɗɤɫɩɨɪɬ - ɂɦɩɨɪɬ = 325 + 76 + 105 + 47 (57 - 10) = 553.
ȼɇɉ ɩɨ ɞɨɯɨɞɚɦ = Ɂɚɪɚɛɨɬɧɚɹ ɩɥɚɬɚ + ɉɪɨɰɟɧɬɧɵɟ
ɩɥɚɬɟɠɢ + Ⱥɪɟɧɞɧɚɹ ɩɥɚɬɚ + Ⱦɨɯɨɞɵ ɨɬ ɫɨɛɫɬɜɟɧɧɨɫɬɢ +
ɉɪɢɛɵɥɶ ɤɨɪɩɨɪɚɰɢɣ ɇɚɥɨɝ ɧɚ ɩɪɢɛɵɥɶ ɤɨɪɩɨɪɚɰɢɣ +
Ⱦɢɜɢɞɟɧɞɵ + ɇɟɪɚɫɩɪɟɞɟɥɟɧɧɚɹ ɩɪɢɛɵɥɶ ɤɨɪɩɨɪɚɰɢɣ +
Ʉɨɫɜɟɧɧɵɟ ɧɚɥɨɝɢ ɧɚ ɛɢɡɧɟɫ + ɋɬɨɢɦɨɫɬɶ ɩɨɬɪɟɛɥɟɧɧɨɝɨ
ɤɚɩɢɬɚɥɚ = 382 + 25 + 24 + 63 + 31 (9 + 18 + 4) + 11 + 17 = 553.
ȼȼɉ = ȼɇɉ - Ⱦɨɯɨɞɵ ɩɨɥɭɱɟɧɧɵɟ ɝɪɚɠɞɚɧɚɦɢ ɡɚ ɪɭɛɟɠɨɦ
+ Ⱦɨɯɨɞɵ ɩɨɥɭɱɟɧɧɵɟ ɢɧɨɫɬɪɚɧɰɚɦɢ ɜ ɞɚɧɧɨɣ ɫɬɪɚɧɟ = 553 - 12
+ 8 = 549.
ɑɇɉ = ȼɇɉ - ɋɬɨɢɦɨɫɬɶ ɩɨɬɪɟɛɥɟɧɧɨɝɨ ɤɚɩɢɬɚɥɚ = 553 - 17
= 536.
ɇȾ = ɑɇɉ - Ʉɨɫɜɟɧɧɵɟ ɧɚɥɨɝɢ ɧɚ ɛɢɡɧɟɫ = 553 - 11= 525.
ɅȾ = ɇȾ - ȼɡɧɨɫɵ ɧɚ ɫɨɰ ɫɬɪɚɯɨɜɚɧɢɟ - ɇɚɥɨɝ ɧɚ ɩɪɢɛɵɥɶ
ɤɨɪɩɨɪɚɰɢɣ + Ɍɪɚɧɫɮɟɪɬɧɵɟ ɩɥɚɬɟɠɢ + ɉɪɨɰɟɧɬɵ ɩɨ
ɝɨɫɭɞɚɪɫɬɜɟɧɧɵɦ ɨɛɥɢɝɚɰɢɹɦ = 525 - 43 - 9 - 4 + 16 + 19 = 504.
ɊɅȾ = ɅȾ - ɂɧɞɢɜɢɞɭɚɥɶɧɵɟ ɪɚɫɯɨɞɵ = 504 - 41 = 463.
Ʌɢɱɧɵɟ ɫɛɟɪɟɠɟɧɢɹ = ɊɅȾ - Ɋɚɫɯɨɞɵ ɧɚ ɥɢɱɧɨɟ
ɩɨɬɪɟɛɥɟɧɢɟ = 463 - 325 = 138.
ɋɚɥɶɞɨ ɬɨɪɝɨɜɨɝɨ ɛɚɥɚɧɫɚ = ɑɢɫɬɵɣ ɷɤɫɩɨɪɬ = ɗɤɫɩɨɪɬ ɂɦɩɨɪɬ = 57 - 10 = 47.
ɑɢɫɬɵɟ ɢɧɜɟɫɬɢɰɢɢ = ȼɚɥɨɜɵɟ ɢɧɜɟɫɬɢɰɢɢ - ɋɬɨɢɦɨɫɬɶ
ɩɨɬɪɟɛɥɟɧɧɨɝɨ ɤɚɩɢɬɚɥɚ = 76 - 17 = 59.
Ɂɚɞɚɱɚ 9.
1) Ɉɩɪɟɞɟɥɢɬɟ ɪɚɡɦɟɪ ɪɚɡɨɜɵɯ ɨɬɱɢɫɥɟɧɢɣ ɪɨɫɫɢɣɫɤɨɝɨ
ɭɱɚɫɬɧɢɤɚ ɫɨɜɦɟɫɬɧɨɝɨ ɩɪɟɞɩɪɢɹɬɢɹ ɜ ɩɪɹɦɵɟ ɢɧɜɟɫɬɢɰɢɢ ɢɡ
ɫɨɛɫɬɜɟɧɧɵɯ ɢɥɢ ɡɚɟɦɧɵɯ ɫɪɟɞɫɬɜ ɜ ɦɟɫɬɧɵɣ ɛɸɞɠɟɬ
2) Ɉɩɪɟɞɟɥɢɬɟ ɟɠɟɝɨɞɧɵɟ ɨɬɱɢɫɥɟɧɢɹ ɩɥɚɬɵ ɡɚ ɩɪɚɜɨ
ɩɨɥɶɡɨɜɚɧɢɹ ɝɨɪɨɞɫɤɨɣ ɡɟɦɥɟɣ ɜ ɦɟɫɬɧɵɣ ɛɸɞɠɟɬ
ȼ ɩɨɤɚɡɚɬɟɥɹɯ ɬɚɛɥɢɰɵ
1) C
- ɧɨɪɦɚɬɢɜ ɡɚɬɪɚɬ ɧɚ ɢɧɠɟɧɟɪɧɨ-ɬɪɚɧɫɩɨɪɬɧɨɟ
0
ɨɛɭɫɬɪɨɣɫɬɜɨ ɝɨɪɨɞɫɤɢɯ ɬɟɪɪɢɬɨɪɢɣ
139
2) C1- ɩɨɤɚɡɚɬɟɥɶ ɭɜɟɥɢɱɟɧɢɹ ɫɬɨɢɦɨɫɬɢ ɝɨɪɨɞɫɤɢɯ
,
ɬɟɪɪɢɬɨɪɢɣ ɡɚ ɫɱɟɬ ɪɚɡɜɢɬɨɫɬɢ ɫɮɟɪɵ ɭɩɪɚɜɥɟɧɢɹ ɧɚɭɱɧɨɝɨ ɢ
ɫɨɰɢɚɥɶɧɨ- ɤɭɥɶɬɭɪɧɨɝɨ ɩɨɬɟɧɰɢɚɥɨɜ
3) C
- ɩɨɤɚɡɚɬɟɥɶ ɭɜɟɥɢɱɟɧɢɹ ɫɬɨɢɦɨɫɬɢ ɝɨɪɨɞɫɤɢɯ
2
ɬɟɪɪɢɬɨɪɢɣ ɜ ɤɭɪɨɪɬɧɵɯ ɪɚɣɨɧɚɯ ɢ ɝɨɪɨɞɚɯ
4) C
- ɩɨɤɚɡɚɬɟɥɶ ɭɜɟɥɢɱɟɧɢɹ ɫɬɨɢɦɨɫɬɢ ɝɨɪɨɞɫɤɢɯ
3
ɬɟɪɪɢɬɨɪɢɣ ɜ ɝɨɪɨɞɚɯ ɢ ɪɚɣɨɧɚɯ ɫ ɢɫɬɨɪɢɱɟɫɤɨɣ ɡɚɫɬɪɨɣɤɨɣ
5) C
- ɩɨɤɚɡɚɬɟɥɶ ɭɜɟɥɢɱɟɧɢɹ ɫɬɨɢɦɨɫɬɢ ɝɨɪɨɞɫɤɢɯ
4
ɬɟɪɪɢɬɨɪɢɣ ɨɩɪɟɞɟɥɹɟɦɵɣ ɦɟɫɬɧɵɦɢ ɨɪɝɚɧɚɦɢ ɜɥɚɫɬɢ ɢɫɯɨɞɹ ɢɡ
ɨɫɨɛɵɯ ɭɫɥɨɜɢɣ
6) C
- ɨɬɱɢɫɥɟɧɢɹ ɧɚ ɠɢɥɢɳɧɨɟ ɢ ɤɭɥɶɬɭɪɧɨ-ɛɵɬɨɜɨɟ
ɫ
ɫɬɪɨɢɬɟɥɶɫɬɜɨ
7) F - ɩɥɨɳɚɞɶ ɭɱɚɫɬɤɚ ɡɚɧɢɦɚɟɦɨɝɨ ɩɪɟɞɩɪɢɹɬɢɟɦ
8) N - ɱɢɫɥɟɧɧɨɫɬɶ ɡɚɧɹɬɵɯ ɧɚ ɩɪɟɞɩɪɢɹɬɢɢ ɪɚɛɨɬɧɢɤɨɜ
9) Dp - ɪɚɫɱɟɬɧɚɹ ɝɨɞɨɜɚɹ ɩɪɢɛɵɥɶ ɪɨɫɫɢɣɫɤɨɣ ɫɬɨɪɨɧɵ
10) ȼɪ - ɜɤɥɚɞ ɪɨɫɫɢɣɫɤɨɝɨ ɭɱɚɫɬɧɢɤɚ ɜ ɭɫɬɚɜɧɵɣ ɮɨɧɞ ɉɂɂ
ɛɟɡ ɭɱɟɬɚ ɡɟɦɥɢ
Ⱦɚɧɵɫɥɟɞɭɸɳɢɟɦɚɤɪɨɷɤɨɧɨɦɢɱɟɫɤɢɟɩɨɤɚɡɚɬɟɥɢ
ɉɨɤɚɡɚɬɟɥɢ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ ȼɚɪ
1. C
ɬɵɫɪɭɛɝɚ 60 70 90 80 23 28
0
2. C1ɬɵɫɪɭɛɝɚ 50 45 34 72 18 27
3. C2ɬɵɫɪɭɛɝɚ 65 30 29 45 58 39
4. C3ɬɵɫɪɭɛɝɚ 20 25 13 42 14 26
5. C4ɬɵɫɪɭɛɝɚ 5 6 13 45 65 68
ɋɫɬɵɫɪɭɛɱɟɥ 0,8 0,9 0,12 0,6 0,5 0,8
)ɝɚ 548978
1ɱɟɥ 500 540 210 330 430 650
'Sɬɵɫɪɭɛ 900 486 595 686 420 219
ȼɪɬɵɫɪɭɛ 3600 2300 4300 5400 6400 6800
Ɋɟɲɟɧɢɟ
1. Ɉɩɪɟɞɟɥɟɧɢɟ ɪɚɡɦɟɪɚ ɟɞɢɧɨɜɪɟɦɟɧɧɨɣ ɩɥɚɬɵ ɡɚ ɩɪɚɜɨ
ɩɨɥɶɡɨɜɚɧɢɹ ɝɨɪɨɞɫɤɢɦɢ ɡɟɦɥɹɦɢ ɜɧɨɫɢɦɨɣ ɜ ɦɟɫɬɧɵɣ ɛɸɞɠɟɬ
Ɋȿ &
0+C1+C2+C3+C4
) ɯ F+Cɫɯ N=(60+50+65+20+5) ɯ 5+0,8 ɯ
500=1400 ɬɵɫ ɪɭɛ
2. ȼɤɥɚɞ ɪɨɫɫɢɣɫɤɨɝɨ ɭɱɚɫɬɧɢɤɚ ɜ ɭɫɬɚɜɧɵɣ ɮɨɧɞ ɉɂɂ
ɩɪɟɞɩɪɢɹɬɢɹ ȼ = Ɋȿȼɪ ɬɵɫ ɪɭɛ ɬɵɫ ɪɭɛ
ɬɵɫ ɪɭɛ
140
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