╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О (MPC)

╨з╤В╨╛ ╤В╨░╨║╨╛╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╨░ MPC (╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О)?

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О (MPC) ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╤П╨╡╤В ╤Б╨╛╨▒╨╛╨╣ ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ ╨▓ ╤Б╨▓╤П╨╖╨╕ ╤Б ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╨╡╨╝ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░. ╨┐╤А╨╕╨▒╤Л╨╗╤М. ╨Ф╤А╤Г╨│╨╕╨╝╨╕ ╤Б╨╗╨╛╨▓╨░╨╝╨╕, ╤Н╤В╨╛ ╤Б╤Г╨╝╨╝╨░ ╨┤╨╡╨╜╨╡╨│, ╨╛╤Б╤В╨░╨▓╤И╨░╤П╤Б╤П ╨┐╨╛╤Б╨╗╨╡ ╤Г╨┐╨╗╨░╤В╤Л ╨▓╤Б╨╡╤Е ╨┐╤А╤П╨╝╤Л╤Е ╨╜╨░╨╗╨╛╨│╨╛╨▓. ╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡. ╨д╨╛╤А╨╝╤Г╨╗╨░ MPC ╨┐╨╛╨╗╤Г╤З╨░╨╡╤В╤Б╤П ╨┐╤Г╤В╨╡╨╝ ╨┤╨╡╨╗╨╡╨╜╨╕╤П ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╤П ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ (╬ФC) ╨╜╨░ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ (╬ФI).

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨Я╨Ф╨Ъ ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╨╡╨╜╨░ тАЛтАЛ╨▓ ╨▓╨╕╨┤╨╡,

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О (MPC) = ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ / ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┤╨╛╤Е╨╛╨┤╨░

╨╕╨╗╨╕

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = ╬ФC / ╬ФI

╨Ф╨░╨╗╨╡╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Г ╨Я╨Ф╨Ъ ╨╝╨╛╨╢╨╜╨╛ ╨┐╤А╨╡╨╛╨▒╤А╨░╨╖╨╛╨▓╨░╤В╤М ╨▓

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = (C1 тАУ C0) / (I1 тАУ I0),

╨│╨┤╨╡,

• C0 = ╨╜╨░╤З╨░╨╗╤М╨╜╤Л╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╨╡ ╤А╨░╤Б╤Е╨╛╨┤╤Л
• C1 = ╨║╨╛╨╜╨╡╤З╨╜╤Л╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╨╡ ╤А╨░╤Б╤Е╨╛╨┤╤Л
• I0 = ╨╜╨░╤З╨░╨╗╤М╨╜╤Л╨╣ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╤Л╨╣ ╨┤╨╛╤Е╨╛╨┤
• I1 = ╨║╨╛╨╜╨╡╤З╨╜╤Л╨╣ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╤Л╨╣ ╨┤╨╛╤Е╨╛╨┤

╨Ю╨│╨╗╨░╨▓╨╗╨╡╨╜╨╕╨╡

• ╨з╤В╨╛ ╤В╨░╨║╨╛╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╨░ MPC (╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О)?
  • ╨Ю╨▒╤К╤П╤Б╨╜╨╡╨╜╨╕╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨Я╨Ф╨Ъ
  • ╨Я╤А╨╕╨╝╨╡╤А╤Л ╤Д╨╛╤А╨╝╤Г╨╗╤Л MPC (╤Б ╤И╨░╨▒╨╗╨╛╨╜╨╛╨╝ Excel)
  • ╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О тАУ ╨Я╤А╨╕╨╝╨╡╤А тДЦ1
  • ╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О тАУ ╨Я╤А╨╕╨╝╨╡╤А тДЦ2
  • ╨Р╨║╤В╤Г╨░╨╗╤М╨╜╨╛╤Б╤В╤М ╨╕ ╨╕╤Б╨┐╨╛╨╗╤М╨╖╨╛╨▓╨░╨╜╨╕╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨Я╨Ф╨Ъ
  • ╨а╨╡╨║╨╛╨╝╨╡╨╜╨┤╤Г╨╡╨╝╤Л╨╡ ╤Б╤В╨░╤В╤М╨╕

╨Ю╨▒╤К╤П╤Б╨╜╨╡╨╜╨╕╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨Я╨Ф╨Ъ

╨Ь╤Л ╨╝╨╛╨╢╨╡╨╝ ╨▓╤Л╨▓╨╡╤Б╤В╨╕ ╤Д╨╛╤А╨╝╤Г╨╗╤Г ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О, ╨▓╤Л╨┐╨╛╨╗╨╜╨╕╨▓ ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╕╨╡ ╤И╨░╨│╨╕:

1. ╨Ю╨┐╤А╨╡╨┤╨╡╨╗╨╕╤В╨╡ I0 ╨╕ C0, ╨╜╨░╤З╨░╨╗╤М╨╜╤Л╨╣ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╤Л╨╣ ╨┤╨╛╤Е╨╛╨┤ ╨╕ ╨┐╨╡╤А╨▓╨╛╨╜╨░╤З╨░╨╗╤М╨╜╤Л╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╨╡ ╤А╨░╤Б╤Е╨╛╨┤╤Л ╤Б╨╛╨╛╤В╨▓╨╡╤В╤Б╤В╨▓╨╡╨╜╨╜╨╛. ╨Ч╨░╤В╨╡╨╝ ╨╛╨▒╤А╨░╤В╨╕╤В╨╡ ╨▓╨╜╨╕╨╝╨░╨╜╨╕╨╡ ╨╜╨░ ╨║╨╛╨╜╨╡╤З╨╜╤Л╨╣ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╤Л╨╣ ╨┤╨╛╤Е╨╛╨┤ ╨╕ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╨╡ ╤А╨░╤Б╤Е╨╛╨┤╤Л, ╨╛╨▒╨╛╨╖╨╜╨░╤З╨╡╨╜╨╜╤Л╨╡ I1 ╨╕ C1 ╤Б╨╛╨╛╤В╨▓╨╡╤В╤Б╤В╨▓╨╡╨╜╨╜╨╛.

2. ╨в╨╡╨┐╨╡╤А╤М ╨▓╤Л╤З╨╕╤Б╨╗╨╕╤В╨╡ ╤З╨╕╤Б╨╗╨╕╤В╨╡╨╗╤М ╤Д╨╛╤А╨╝╤Г╨╗╤Л, ╨╛╤В╤А╨░╨╢╨░╤О╤Й╨╕╨╣ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓. ╨Х╨│╨╛ ╨┐╨╛╨╗╤Г╤З╨░╤О╤В ╨┐╤Г╤В╨╡╨╝ ╨▓╤Л╤З╨╕╤В╨░╨╜╨╕╤П ╨╜╨░╤З╨░╨╗╤М╨╜╨╛╨│╨╛ ╨║╨╛╨╗╨╕╤З╨╡╤Б╤В╨▓╨░ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤П ╨╕╨╖ ╨║╨╛╨╜╨╡╤З╨╜╨╛╨│╨╛ ╨║╨╛╨╗╨╕╤З╨╡╤Б╤В╨▓╨░ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤П.

   ╨Ш╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓, C = C1 C0

3. ╨в╨╡╨┐╨╡╤А╤М ╨▓╤Л╤З╨╕╤Б╨╗╨╕╤В╨╡ ╨╖╨╜╨░╨╝╨╡╨╜╨░╤В╨╡╨╗╤М ╤Д╨╛╤А╨╝╤Г╨╗╤Л, ╨║╨╛╤В╨╛╤А╤Л╨╣ ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╤П╨╡╤В ╤Б╨╛╨▒╨╛╨╣ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░. ╨Х╨│╨╛ ╨┐╨╛╨╗╤Г╤З╨░╤О╤В ╨┐╤Г╤В╨╡╨╝ ╨▓╤Л╤З╨╕╤В╨░╨╜╨╕╤П ╨╜╨░╤З╨░╨╗╤М╨╜╨╛╨│╨╛ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ ╨╕╨╖ ╨║╨╛╨╜╨╡╤З╨╜╨╛╨│╨╛ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░.

   ╨Ш╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░, I = I1 I0

4. ╨в╨╡╨┐╨╡╤А╤М ╨▓╤Л╤З╨╕╤Б╨╗╨╕╤В╨╡ ╨╖╨╜╨░╨╝╨╡╨╜╨░╤В╨╡╨╗╤М ╤Д╨╛╤А╨╝╤Г╨╗╤Л, ╨║╨╛╤В╨╛╤А╤Л╨╣ ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╤П╨╡╤В ╤Б╨╛╨▒╨╛╨╣ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░. ╨Х╨│╨╛ ╨┐╨╛╨╗╤Г╤З╨░╤О╤В ╨┐╤Г╤В╨╡╨╝ ╨▓╤Л╤З╨╕╤В╨░╨╜╨╕╤П ╨╜╨░╤З╨░╨╗╤М╨╜╨╛╨│╨╛ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ ╨╕╨╖ ╨║╨╛╨╜╨╡╤З╨╜╨╛╨│╨╛ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░.

5. ╨Ш╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░, ╬ФI = I1 тАУ I0

6. ╨Э╨░╨║╨╛╨╜╨╡╤Ж, ╤Д╨╛╤А╨╝╤Г╨╗╨░ MPC ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╤Г╤В╨╡╨╝ ╨┤╨╡╨╗╨╡╨╜╨╕╤П ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╤П ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ (╤И╨░╨│ 2) ╨╜╨░ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ (╤И╨░╨│ 3), ╨║╨░╨║ ╨┐╨╛╨║╨░╨╖╨░╨╜╨╛ ╨╜╨╕╨╢╨╡.

7. ╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ / ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┤╨╛╤Е╨╛╨┤╨░ ╨╕╨╗╨╕,

8. ╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = (C1 тАУ C0) / (I1 тАУ I0)

╨Я╤А╨╕╨╝╨╡╤А╤Л ╤Д╨╛╤А╨╝╤Г╨╗╤Л MPC (╤Б ╤И╨░╨▒╨╗╨╛╨╜╨╛╨╝ Excel)

╨Ф╨░╨▓╨░╨╣╤В╨╡ ╤А╨░╤Б╤Б╨╝╨╛╤В╤А╨╕╨╝ ╨╜╨╡╤Б╨║╨╛╨╗╤М╨║╨╛ ╨┐╤А╨╛╤Б╤В╤Л╤Е ╨╕ ╤Б╨╗╨╛╨╢╨╜╤Л╤Е ╨┐╤А╨╕╨╝╨╡╤А╨╛╨▓, ╤З╤В╨╛╨▒╤Л ╨╗╤Г╤З╤И╨╡ ╨┐╨╛╨╜╤П╤В╤М ╤Д╨╛╤А╨╝╤Г╨╗╤Г ╤А╨░╤Б╤З╨╡╤В╨░ MPC.

.free_excel_div{╤Д╨╛╨╜:#d9d9d9;╤А╨░╨╖╨╝╨╡╤А ╤И╤А╨╕╤Д╤В╨░:16px;╤А╨░╨┤╨╕╤Г╤Б ╨│╤А╨░╨╜╨╕╤Ж╤Л:7px;╨┐╨╛╨╖╨╕╤Ж╨╕╤П:╨╛╤В╨╜╨╛╤Б╨╕╤В╨╡╨╗╤М╨╜╨░╤П;margin:30px;padding:25px 25px 25px 45px}.free_excel_div:before{content:»»;╤Д╨╛╨╜:url(╤Ж╨╡╨╜╤В╤А ╤Ж╨╡╨╜╤В╤А ╨▒╨╡╨╖ ╨┐╨╛╨▓╤В╨╛╤А╨░ #207245;╤И╨╕╤А╨╕╨╜╨░:70px;╨▓╤Л╤Б╨╛╤В╨░:70px;╨┐╨╛╨╖╨╕╤Ж╨╕╤П:╨░╨▒╤Б╨╛╨╗╤О╤В╨╜╨░╤П;╨▓╨╡╤А╤Е:50%;margin-top:-35px;╤Б╨╗╨╡╨▓╨░:-35px;╨│╤А╨░╨╜╨╕╤Ж╨░:5px ╤Б╨┐╨╗╨╛╤И╨╜╨░╤П #fff;╨│╤А╨░╨╜╨╕╤Ж╨░-╤А╨░╨┤╨╕╤Г╤Б:50%} ╨Т╤Л ╨╝╨╛╨╢╨╡╤В╨╡ ╤Б╨║╨░╤З╨░╤В╤М ╤Н╤В╨╛╤В ╤И╨░╨▒╨╗╨╛╨╜ ╤Д╨╛╤А╨╝╤Г╨╗╤Л Excel ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨╖╨┤╨╡╤Б╤М тАУ ╨Я╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨д╨╛╤А╨╝╤Г╨╗╨░ ╨и╨░╨▒╨╗╨╛╨╜ Excel

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О тАУ ╨Я╤А╨╕╨╝╨╡╤А тДЦ1

╨Т╨╛╨╖╤М╨╝╨╡╨╝ ╨┐╤А╨╕╨╝╨╡╤А ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ ╨╜╨░ ╨╛╤В╨┐╤Г╤Б╨║ ╤Б╨╛╤В╤А╤Г╨┤╨╜╨╕╨║╨╛╨▓ ╨║╨╛╨╜╨║╤А╨╡╤В╨╜╨╛╨╣ ╨║╨╛╨╝╨┐╨░╨╜╨╕╨╕. ╨в╨╡╨┐╨╡╤А╤М ╨┤╨░╨▓╨░╨╣╤В╨╡ ╨┐╤А╨╡╨┤╨┐╨╛╨╗╨╛╨╢╨╕╨╝, ╤З╤В╨╛ ╨▓╤Б╨╡╨╝ ╤Б╨╛╤В╤А╤Г╨┤╨╜╨╕╨║╨░╨╝ ╨╛╤А╨│╨░╨╜╨╕╨╖╨░╤Ж╨╕╨╕ ╨▓╤Л╨┐╨╗╨░╤З╨╕╨▓╨░╨╡╤В╤Б╤П ╨┐╤А╨╕╨▒╨░╨▓╨║╨░ ╨▓ ╤А╨░╨╖╨╝╨╡╤А╨╡ 160 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ ╨▒╨╗╨░╨│╨╛╨┤╨░╤А╤П ╨╛╤В╨╗╨╕╤З╨╜╤Л╨╝ ╤А╨╡╨╖╤Г╨╗╤М╤В╨░╤В╨░╨╝ ╨┤╨╡╤П╤В╨╡╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨║╨╛╨╝╨┐╨░╨╜╨╕╨╕. ╨Ш╨╖-╨╖╨░ ╨╜╨╡╨┤╨░╨▓╨╜╨╡╨│╨╛ ╨┐╨╛╨▓╤Л╤И╨╡╨╜╨╕╤П ╤А╨░╤Б╤Е╨╛╨┤╤Л ╤Б╤А╨╡╨┤╨╜╨╡╨│╨╛ ╤Б╨╛╤В╤А╤Г╨┤╨╜╨╕╨║╨░ ╨╜╨░ ╨╡╨╢╨╡╨│╨╛╨┤╨╜╤Г╤О ╨┐╨╛╨╡╨╖╨┤╨║╤Г ╨▓ ╨╛╤В╨┐╤Г╤Б╨║ ╨▓╤Л╤А╨╛╤Б╨╗╨╕ ╨╜╨░ 200 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓. ╨а╨░╤Б╤Б╤З╨╕╤В╨░╨╣╤В╨╡ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╤Г╤О ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╤Б╤А╨╡╨┤╨╜╨╡╨│╨╛ ╤А╨░╨▒╨╛╤В╨╜╨╕╨║╨░ ╨╛╤А╨│╨░╨╜╨╕╨╖╨░╤Ж╨╕╨╕.

• ╨Ф╨░╨╜╨╛, ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ = 160 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓.
• ╨Ш╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ = 200 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓.

╨Т ╤В╨░╨▒╨╗╨╕╤Ж╨╡ ╨╜╨╕╨╢╨╡ ╨┐╤А╨╕╨▓╨╡╨┤╨╡╨╜╤Л ╨┤╨░╨╜╨╜╤Л╨╡ ╨┤╨╗╤П ╤А╨░╤Б╤З╨╡╤В╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨┤╨╗╤П ╤Б╤А╨╡╨┤╨╜╨╡╨│╨╛ ╤А╨░╨▒╨╛╤В╨╜╨╕╨║╨░ ╨╛╤А╨│╨░╨╜╨╕╨╖╨░╤Ж╨╕╨╕.

╨Ш╤Б╨┐╨╛╨╗╤М╨╖╤Г╤П ╤Д╨╛╤А╨╝╤Г╨╗╤Г, ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╤Г╤О ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨╝╨╛╨╢╨╜╨╛ ╤А╨░╤Б╤Б╤З╨╕╤В╨░╤В╤М ╨║╨░╨║

╨д╨╛╤А╨╝╤Г╨╗╨░ MPC = ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ / ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░.

╨Я╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = 160/200 ╨┤╨╛╨╗╨╗.

╨Я╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╤Б╤А╨╡╨┤╨╜╨╡╨│╨╛ ╤А╨░╨▒╨╛╤В╨╜╨╕╨║╨░ ╨╛╤А╨│╨░╨╜╨╕╨╖╨░╤Ж╨╕╨╕ = 0,80

╨б╨╗╨╡╨┤╨╛╨▓╨░╤В╨╡╨╗╤М╨╜╨╛, ╨┐╤А╨╕ ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╨╕ ╨┤╨╛╤Е╨╛╨┤╨░ ╨▓ ╨┤╨╛╨╗╨╗╨░╤А╨░╤Е ╤А╨░╤Б╤Е╨╛╨┤╤Л ╨╜╨░ ╨╛╤В╨┐╤Г╤Б╨║ ╤Г╨▓╨╡╨╗╨╕╤З╨╕╨▓╨░╤О╤В╤Б╤П ╨╜╨░ 80 ╤Ж╨╡╨╜╤В╨╛╨▓.

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О тАУ ╨Я╤А╨╕╨╝╨╡╤А тДЦ2

╨Я╤А╨╡╨┤╨┐╨╛╨╗╨╛╨╢╨╕╨╝, ╤З╤В╨╛ ╨▓ ╨╝╨░╨│╨░╨╖╨╕╨╜╨╡ ╤А╤П╨┤╨╛╨╝ ╤Б ╨╛╤Д╨╕╤Б╨╛╨╝ ╨Ф╨╢╨╡╨║╨░ ╨┐╤А╨╛╨┤╨░╤О╤В╤Б╤П ╨▒╨╡╨╖╨░╨╗╨║╨╛╨│╨╛╨╗╤М╨╜╤Л╨╡ ╨╜╨░╨┐╨╕╤В╨║╨╕. ╨Ф╨╢╨╡╨║ тАФ ╨╛╨┤╨╕╨╜ ╨╕╨╖ ╤Б╨░╨╝╤Л╤Е ╨║╤А╤Г╨┐╨╜╤Л╤Е ╨┐╨╛╨║╤Г╨┐╨░╤В╨╡╨╗╨╡╨╣ ╨╝╨░╨│╨░╨╖╨╕╨╜╨░, ╨┐╨╛╤В╤А╨╡╨▒╨╗╤П╤О╤Й╨╕╨╣ 30 ╨╗╨╕╤В╤А╨╛╨▓ ╨▒╨╡╨╖╨░╨╗╨║╨╛╨│╨╛╨╗╤М╨╜╤Л╤Е ╨╜╨░╨┐╨╕╤В╨║╨╛╨▓ ╨║╨░╨╢╨┤╤Л╨╣ ╨╝╨╡╤Б╤П╤Ж. ╨Т ╤В╨╡╨║╤Г╤Й╨╡╨╝ ╨╝╨╡╤Б╤П╤Ж╨╡ ╨╛╨╜ ╨┐╨╛╨╗╤Г╤З╨╕╨╗ ╨┐╤А╨╕╨╗╨╕╤З╨╜╤Г╤О ╨╖╨░╤А╨┐╨╗╨░╤В╤Г, ╤В╨░╨║ ╨║╨░╨║ ╨▓╤Л╨┐╨╛╨╗╨╜╨╕╨╗ ╨╝╨╡╤Б╤П╤З╨╜╤Г╤О ╤Ж╨╡╨╗╤М. ╨Х╨│╨╛ ╨╡╨╢╨╡╨╝╨╡╤Б╤П╤З╨╜╨░╤П ╨▓╤Л╨┐╨╗╨░╤В╨░ ╨▓╤Л╤А╨╛╤Б╨╗╨░ ╤Б ╨╛╨▒╤Л╤З╨╜╤Л╤Е 300 ╨┤╨╛ 400 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓. ╨б╨╗╨╡╨┤╨╛╨▓╨░╤В╨╡╨╗╤М╨╜╨╛, ╨╡╨│╨╛ ╨┐╨╛╨║╤Г╨┐╨║╨░ ╨▒╨╡╨╖╨░╨╗╨║╨╛╨│╨╛╨╗╤М╨╜╤Л╤Е ╨╜╨░╨┐╨╕╤В╨║╨╛╨▓ ╤В╨░╨║╨╢╨╡ ╤Г╨▓╨╡╨╗╨╕╤З╨╕╨╗╨░╤Б╤М ╨┤╨╛ 35 ╨╗╨╕╤В╤А╨╛╨▓ ╨▓ ╤Н╤В╨╛╨╝ ╨╝╨╡╤Б╤П╤Ж╨╡. ╨С╨╡╨╖╨░╨╗╨║╨╛╨│╨╛╨╗╤М╨╜╤Л╨╣ ╨╜╨░╨┐╨╕╤В╨╛╨║ ╤Б╤В╨╛╨╕╤В 5 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ ╨╖╨░ ╨╗╨╕╤В╤А. ╨Ю╨┐╤А╨╡╨┤╨╡╨╗╨╕╤В╨╡ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╤Г╤О ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨Ф╨╢╨╡╨║╨░.

• ╨б0 = 30 * 5 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ = 150 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓,
• ╨б1 = 35 * 5 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ = 175 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓,
• I0 = 300 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ ╨╕
• I1 = 400 ╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ ╨б╨и╨Р

╨Э╨╕╨╢╨╡ ╨┐╤А╨╕╨▓╨╡╨┤╨╡╨╜╤Л ╨┤╨░╨╜╨╜╤Л╨╡ ╨┤╨╗╤П ╤А╨░╤Б╤З╨╡╤В╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨┤╨╗╤П ╨Ф╨╢╨╡╨║╨░.

╨в╨░╨║╨╕╨╝ ╨╛╨▒╤А╨░╨╖╨╛╨╝, ╤А╨░╤Б╤З╨╡╤В ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨┤╨╗╤П ╨Ф╨╢╨╡╨║╨░ ╨▓╤Л╨│╨╗╤П╨┤╨╕╤В ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╕╨╝ ╨╛╨▒╤А╨░╨╖╨╛╨╝:

╨д╨╛╤А╨╝╤Г╨╗╨░ MPC = (175тАУ150┬а╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ ╨б╨и╨Р) / (400тАУ300┬а╨┤╨╛╨╗╨╗╨░╤А╨╛╨▓ ╨б╨и╨Р)

╨Я╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = 25/100 ╨┤╨╛╨╗╨╗.

╨Я╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О = 0,25

╨в╨░╨║╨╕╨╝ ╨╛╨▒╤А╨░╨╖╨╛╨╝, ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╨╡ ╨▒╨╡╨╖╨░╨╗╨║╨╛╨│╨╛╨╗╤М╨╜╤Л╤Е ╨╜╨░╨┐╨╕╤В╨║╨╛╨▓ ╤Г╨▓╨╡╨╗╨╕╤З╨╕╨▓╨░╨╡╤В╤Б╤П ╨╜╨░ 25 ╤Ж╨╡╨╜╤В╨╛╨▓ ╨╜╨░ ╨┤╨╛╨╗╨╗╨░╤А ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╤П ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ ╨Ф╨╢╨╡╨║╨░.

╨Р╨║╤В╤Г╨░╨╗╤М╨╜╨╛╤Б╤В╤М ╨╕ ╨╕╤Б╨┐╨╛╨╗╤М╨╖╨╛╨▓╨░╨╜╨╕╨╡ ╤Д╨╛╤А╨╝╤Г╨╗╤Л ╨Я╨Ф╨Ъ

╨д╨╛╤А╨╝╤Г╨╗╨░ ╨Я╨Ф╨Ъ тАФ ╨╛╨┤╨╜╨░ ╨╕╨╖ ╤Б╨░╨╝╤Л╤Е ╨┐╤А╨╛╤Б╤В╤Л╤Е ╨▓ ╨╕╤Б╨┐╨╛╨╗╤М╨╖╨╛╨▓╨░╨╜╨╕╨╕ ╤Н╨║╨╛╨╜╨╛╨╝╨╕╤З╨╡╤Б╨║╨╕╤Е ╤Д╨╛╤А╨╝╤Г╨╗. ╨Я╤А╨╕ ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╨╕ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░ ╤З╨░╤Б╤В╤М ╨┤╨╛╨┐╨╛╨╗╨╜╨╕╤В╨╡╨╗╤М╨╜╤Л╤Е ╨┤╨╡╨╜╨╡╨│ ╤В╤А╨░╤В╨╕╤В╤Б╤П. ╨Я╤А╨╛╤Б╤В╨╛ ╤А╨░╨╖╨┤╨╡╨╗╨╕╤В╨╡ ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╨╡ ╨┐╨╛╤В╤А╨╡╨▒╨╕╤В╨╡╨╗╤М╤Б╨║╨╕╤Е ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓ ╨╜╨░ ╤Г╨▓╨╡╨╗╨╕╤З╨╡╨╜╨╕╨╡ ╤А╨░╤Б╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╨┤╨╛╤Е╨╛╨┤╨░, ╨╕ ╤В╨╛╨│╨┤╨░ ╨╛╤В╨╜╨╛╤И╨╡╨╜╨╕╨╡ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨╛╨╣ ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╨╕ ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨▒╤Г╨┤╨╡╤В ╨│╨╛╤В╨╛╨▓╨╛. ╨Ю╤В╨╜╨╛╤И╨╡╨╜╨╕╨╡ ╨╛╨▒╤Л╤З╨╜╨╛ ╨║╨╛╨╗╨╡╨▒╨╗╨╡╤В╤Б╤П ╨╝╨╡╨╢╨┤╤Г ╨╜╤Г╨╗╨╡╨╝ ╨╕ ╨╡╨┤╨╕╨╜╨╕╤Ж╨╡╨╣, ╤З╤В╨╛ ╨╛╨╖╨╜╨░╤З╨░╨╡╤В, ╤З╤В╨╛ ╨┤╨╛╨┐╨╛╨╗╨╜╨╕╤В╨╡╨╗╤М╨╜╤Л╨╣ ╨┤╨╛╤Е╨╛╨┤ ╨╝╨╛╨╢╨╡╤В ╨╗╨╕╨▒╨╛ ╨┐╨╛╨╗╨╜╨╛╤Б╤В╤М╤О ╤Б╨╛╤Е╤А╨░╨╜╤П╤В╤М╤Б╤П, ╨╗╨╕╨▒╨╛ ╤З╨░╤Б╤В╨╕╤З╨╜╨╛ ╨┐╨╛╤В╤А╨╡╨▒╨╗╤П╤В╤М╤Б╤П. ╨Ю╨┤╨╜╨░╨║╨╛ ╨╝╨╛╨│╤Г╤В ╨▒╤Л╤В╤М ╤Б╨╗╤Г╤З╨░╨╕, ╨║╨╛╨│╨┤╨░ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨╝╨╛╨╢╨╡╤В ╨╕╨╝╨╡╤В╤М ╨╖╨╜╨░╤З╨╡╨╜╨╕╨╡ ╨▒╨╛╨╗╤М╤И╨╡ ╨╡╨┤╨╕╨╜╨╕╤Ж╤Л.

╨Х╤Б╨╗╨╕ ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╨░╤П ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О ╨▒╨╛╨╗╤М╤И╨╡ ╨╡╨┤╨╕╨╜╨╕╤Ж╤Л, ╤В╨╛ ╤Н╤В╨╛ ╤Г╨║╨░╨╖╤Л╨▓╨░╨╡╤В ╨╜╨░ ╤В╨╛, ╤З╤В╨╛ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤Г╤А╨╛╨▓╨╜╤П ╨┤╨╛╤Е╨╛╨┤╨░ ╨┐╤А╨╕╨▓╨╡╨╗╨╛ ╨║ ╨╛╤В╨╜╨╛╤Б╨╕╤В╨╡╨╗╤М╨╜╨╛ ╨▒╨╛╨╗╤М╤И╨╡╨╝╤Г ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╤О ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤П ╨║╨╛╨╜╨║╤А╨╡╤В╨╜╨╛╨│╨╛ ╤В╨╛╨▓╨░╤А╨░. ╨в╨░╨║╨░╤П ╨║╨╛╤А╤А╨╡╨╗╤П╤Ж╨╕╤П ╤Е╨░╤А╨░╨║╤В╨╡╤А╨╜╨░ ╨┤╨╗╤П ╤В╨╛╨▓╨░╤А╨╛╨▓ ╤Б ╤Н╨╗╨░╤Б╤В╨╕╤З╨╜╨╛╤Б╤В╤М╤О ╤Б╨┐╤А╨╛╤Б╨░ ╨┐╨╛ ╤Ж╨╡╨╜╨╡ ╨▒╨╛╨╗╤М╤И╨╡, ╤З╨╡╨╝ ╤Г ╨┐╤А╨╡╨┤╨╝╨╡╤В╨╛╨▓ ╤А╨╛╤Б╨║╨╛╤И╨╕.

╨Х╤Б╨╗╨╕ MPC = 1, ╤В╨╛ ╤Н╤В╨╛ ╤Г╨║╨░╨╖╤Л╨▓╨░╨╡╤В ╨╜╨░ ╤В╨╛, ╤З╤В╨╛ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤Г╤А╨╛╨▓╨╜╤П ╨┤╨╛╤Е╨╛╨┤╨░ ╨┐╤А╨╕╨▓╨╡╨╗╨╛ ╨║ ╤В╨░╨║╨╛╨╝╤Г ╨╢╨╡ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╤О ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤П ╨▒╨╗╨░╨│. ╨в╨░╨║╨░╤П ╨║╨╛╤А╤А╨╡╨╗╤П╤Ж╨╕╤П ╨╜╨░╨▒╨╗╤О╨┤╨░╨╡╤В╤Б╤П ╨┤╨╗╤П ╤В╨╛╨▓╨░╤А╨╛╨▓ ╤Б ╤Ж╨╡╨╜╨╛╨▓╨╛╨╣ ╤Н╨╗╨░╤Б╤В╨╕╤З╨╜╨╛╤Б╤В╤М╤О ╤Б╨┐╤А╨╛╤Б╨░, ╤А╨░╨▓╨╜╨╛╨╣ ╨╡╨┤╨╕╨╜╨╕╤Ж╨╡.

╨Х╤Б╨╗╨╕ MPC < 1, ╤В╨╛ ╤Н╤В╨╛ ╤Г╨║╨░╨╖╤Л╨▓╨░╨╡╤В ╨╜╨░ ╤В╨╛, ╤З╤В╨╛ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤Г╤А╨╛╨▓╨╜╤П ╨┤╨╛╤Е╨╛╨┤╨░ ╨┐╤А╨╕╨▓╨╡╨╗╨╛ ╨║ ╨╛╤В╨╜╨╛╤Б╨╕╤В╨╡╨╗╤М╨╜╨╛ ╨╝╨╡╨╜╤М╤И╨╡╨╝╤Г ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╤О ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤П ╤В╨╛╨▓╨░╤А╨░. ╨в╨░╨║╤Г╤О ╨║╨╛╤А╤А╨╡╨╗╤П╤Ж╨╕╤О ╨╝╨╛╨╢╨╜╨╛ ╤Г╨▓╨╕╨┤╨╡╤В╤М ╨┤╨╗╤П ╤В╨╛╨▓╨░╤А╨╛╨▓ ╤Б ╨╝╨╡╨╜╨╡╨╡ ╤З╨╡╨╝ ╨╛╨┤╨╜╨╛╨╣ ╤Ж╨╡╨╜╨╛╨▓╨╛╨╣ ╤Н╨╗╨░╤Б╤В╨╕╤З╨╜╨╛╤Б╤В╤М╤О ╤Б╨┐╤А╨╛╤Б╨░.

╨Х╤Б╨╗╨╕ MPC = 0, ╤В╨╛ ╤Н╤В╨╛ ╤Г╨║╨░╨╖╤Л╨▓╨░╨╡╤В ╨╜╨░ ╤В╨╛, ╤З╤В╨╛ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╕╨╡ ╤Г╤А╨╛╨▓╨╜╤П ╨┤╨╛╤Е╨╛╨┤╨░ ╨╜╨╡ ╨╝╨╡╨╜╤П╨╡╤В ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╨╡ ╨▒╨╗╨░╨│╨░. ╨в╨░╨║╨░╤П ╨║╨╛╤А╤А╨╡╨╗╤П╤Ж╨╕╤П ╨┐╤А╨╕╨╝╨╡╨╜╨╕╨╝╨░ ╨┤╨╗╤П ╤В╨╛╨▓╨░╤А╨╛╨▓ ╤Б ╤Ж╨╡╨╜╨╛╨▓╨╛╨╣ ╤Н╨╗╨░╤Б╤В╨╕╤З╨╜╨╛╤Б╤В╤М╤О ╤Б╨┐╤А╨╛╤Б╨░.

╨а╨╡╨║╨╛╨╝╨╡╨╜╨┤╤Г╨╡╨╝╤Л╨╡ ╤Б╤В╨░╤В╤М╨╕

╨н╤В╨╛ ╨▒╤Л╨╗╨╛ ╤А╤Г╨║╨╛╨▓╨╛╨┤╤Б╤В╨▓╨╛ ╨┐╨╛ ╤Д╨╛╤А╨╝╤Г╨╗╨╡ MPC. ╨Ч╨┤╨╡╤Б╤М ╨╝╤Л ╨╛╨▒╤Б╤Г╨┤╨╕╨╝, ╨║╨░╨║ ╤А╨░╤Б╤Б╤З╨╕╤В╨░╤В╤М ╨┐╤А╨╡╨┤╨╡╨╗╤М╨╜╤Г╤О ╤Б╨║╨╗╨╛╨╜╨╜╨╛╤Б╤В╤М ╨║ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╕╤О, ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╤П ╨┐╤А╨░╨║╤В╨╕╤З╨╡╤Б╨║╨╕╨╡ ╨┐╤А╨╕╨╝╨╡╤А╤Л ╨▓╨╝╨╡╤Б╤В╨╡ ╤Б ╨╖╨░╨│╤А╤Г╨╢╨░╨╡╨╝╤Л╨╝╨╕ ╤И╨░╨▒╨╗╨╛╨╜╨░╨╝╨╕ Excel. ╨Т╤Л ╨╝╨╛╨╢╨╡╤В╨╡ ╤Г╨╖╨╜╨░╤В╤М ╨▒╨╛╨╗╤М╤И╨╡ ╨╛ ╤Д╨╕╨╜╨░╨╜╤Б╨╛╨▓╨╛╨╝ ╨░╨╜╨░╨╗╨╕╨╖╨╡ ╨╕╨╖ ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╕╤Е ╤Б╤В╨░╤В╨╡╨╣:

• ╨Ь╨╕╨║╤А╨╛╤Н╨║╨╛╨╜╨╛╨╝╨╕╨║╨░
• ╨н╨╗╨░╤Б╤В╨╕╤З╨╜╤Л╨╣ ╨╕ ╨╜╨╡╤Н╨╗╨░╤Б╤В╨╕╤З╨╜╤Л╨╣ ╤Б╨┐╤А╨╛╤Б
• ╨Я╨╡╤А╨╡╨║╤А╨╡╤Б╤В╨╜╨░╤П ╤Ж╨╡╨╜╨╛╨▓╨░╤П ╤Н╨╗╨░╤Б╤В╨╕╤З╨╜╨╛╤Б╤В╤М ╤Б╨┐╤А╨╛╤Б╨░
• ╨б╨╛╨▓╨╛╨║╤Г╨┐╨╜╨╛╨╡ ╨┐╤А╨╡╨┤╨╗╨╛╨╢╨╡╨╜╨╕╨╡