ᱫᱷᱟᱯ ᱫᱷᱟᱯ: ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤ

ᱡᱚᱡᱚᱢ: ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤ

ᱯᱟᱦᱤᱞ ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $10 ᱟᱨ ᱫᱚᱥᱟᱨ ᱨᱮ $10᱾ 1 ᱠᱷᱚᱱ 24 ᱦᱟᱹᱵᱤᱡ ᱢᱤᱫ ᱮᱞ ᱫᱚ ᱢᱤᱫ ᱰᱚᱡᱮᱱ ᱨᱮ $20 ᱮᱢᱟ ᱟᱨ ᱮᱴᱟᱜ ᱨᱮᱭᱟᱜ $10 ᱦᱟᱨᱟᱣᱟ: +$10᱾ 25 ᱠᱷᱚᱱ 36 ᱦᱟᱹᱵᱤᱡ ᱢᱤᱫ ᱮᱞ, ᱥᱮ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱵᱟᱨᱭᱟ ᱦᱟᱨᱟᱣᱟ: −$20᱾ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱡᱮᱞᱮᱧ ᱚᱠᱛᱚ ᱨᱮ ᱢᱤᱫ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱣᱥᱚᱛ ᱨᱮᱡᱟᱞᱴ᱾ ᱡᱚᱛᱚ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱵᱟᱡᱤ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: (24 × 10 − 13 × 20)/37 = −20/37 = ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ −$0.54, ᱡᱟᱦᱟᱸ ᱫᱚ $20 ᱨᱮᱭᱟᱜ 2.70% ᱠᱟᱱᱟ᱾ ᱡᱤᱛ ᱦᱟᱨ 64.9%, ᱟᱨ ᱱᱚᱶᱟ ᱮᱞ ᱜᱮ ᱵᱟᱡᱤ ᱠᱤᱨᱤᱧ ᱮᱫᱟ᱾

ᱜᱷᱩᱨᱟᱹᱣ 1–25

ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱡᱤᱛ, ᱮᱭᱟᱭ ᱦᱟᱹᱱᱤ: +$180 − $140 = +$40᱾ ᱮᱭᱟᱭ ᱦᱟᱹᱱᱤ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱡᱤᱨᱚ ᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ 11–13 ᱨᱮ ᱛᱮᱥᱟᱨ ᱰᱚᱡᱮᱱ ᱨᱮᱭᱟᱜ ᱯᱮ ᱮᱞ ᱨᱮᱭᱟᱜ ᱫᱟᱹᱲ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱞᱟᱜᱟᱛᱟᱨ $60 ᱠᱷᱚᱨᱚᱪ ᱠᱮᱫᱟ ᱟᱨ ᱵᱤᱨᱟᱹᱞ ᱠᱟᱛᱷᱟ ᱞᱮᱠᱟ ᱵᱩᱡᱷᱟᱹᱣ ᱞᱮᱱᱟ᱾ ᱚᱱᱟ ᱫᱚ 35.1% ᱜᱮ ᱢᱤᱫ ᱜᱟᱱᱫᱟ ᱨᱮ ᱦᱮᱡ ᱞᱮᱱᱟ, ᱟᱨ ᱜᱟᱱᱫᱟ ᱫᱚ ᱱᱚᱶᱟ ᱜᱮ ᱠᱟᱹᱢᱤᱭᱟ᱾

ᱜᱷᱩᱨᱟᱹᱣ 26–50

ᱜᱮᱞ ᱯᱮ ᱡᱤᱛ, ᱜᱮᱞ ᱵᱟᱨ ᱦᱟᱹᱱᱤ: +$130 − $240 = −$110᱾ 25 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱜᱮᱞ ᱵᱟᱨ ᱦᱟᱹᱱᱤ ᱫᱚ ᱢᱤᱫ 20% ᱜᱷᱚᱴᱚᱱᱟ, ᱵᱤᱨᱟᱹᱞ ᱫᱚ ᱵᱟᱝ᱾ ᱢᱩᱪᱟᱹᱫ ᱨᱮ −$70; ᱜᱷᱩᱨᱟᱹᱣ 31 ᱨᱮ ᱥᱟᱵᱟᱜ ᱪᱮᱛᱟᱱ +$90᱾ ᱵᱟᱡᱤ ᱫᱚ ᱡᱟᱦᱟᱸ ᱥᱮᱫ ᱦᱚᱸ ᱢᱤᱫ ᱢᱟᱨᱟᱝ ᱫᱩᱞᱩᱵ ᱵᱟᱝ ᱵᱮᱱᱟᱣ ᱞᱮᱫᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱡᱤᱛ $10 ᱟᱨ ᱦᱟᱹᱱᱤ $20; ᱱᱚᱶᱟ ᱫᱚ ᱞᱟᱦᱟᱜ ᱞᱟᱦᱟᱜ ᱜᱮ ᱜᱽᱨᱟᱭᱤᱸᱰ ᱠᱮᱫᱟ᱾

ᱦᱤᱥᱟᱹᱵ

50 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ $1,000᱾ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → $27; ᱥᱟᱹᱨᱤ ᱨᱮ −$70, ᱡᱷᱚᱛᱚ ᱢᱤᱫ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱜᱚᱱᱤᱛᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱣᱮᱨᱤᱭᱮᱱᱥ ᱨᱮᱭᱟᱜ ᱵᱚᱜᱚ ᱢᱩᱞ; ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱠᱷᱚᱱ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱥᱟᱦᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱛᱟᱨ (ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ σ ᱡᱷᱚᱛᱚ $14, ᱚᱱᱟᱛᱮ 50 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱷᱚᱛᱚ $100)᱾ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱚᱱᱟ ᱜᱮ $20 ᱨᱮ ᱢᱤᱫ ᱜᱮ ᱟᱸᱫᱟᱡᱽ ᱟᱨ ᱢᱟᱨᱟᱝ σ, ᱥᱮᱥᱚᱱ ᱨᱮ ᱡᱷᱚᱛᱚ $140 ᱛᱟᱦᱮᱸᱱᱟ: ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱫᱚ ᱢᱤᱫ ᱜᱮ ᱴᱟᱠᱟ ᱦᱟᱨᱟᱣ ᱨᱮᱭᱟᱜ ᱠᱚᱢ-ᱣᱮᱨᱤᱭᱮᱱᱥᱜᱚᱱᱤᱛᱣᱮᱨᱤᱭᱮᱱᱥᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱷᱮᱨᱟᱣ ᱨᱮᱡᱟᱞᱴ ᱛᱤᱱᱟᱹᱜ ᱯᱟᱥᱱᱟᱣᱚᱜ-ᱟ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱥᱟᱯᱲᱟᱣ᱾ ᱥᱴᱨᱮᱴ ᱚᱯ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱹᱲᱛᱤ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱚᱨ ᱠᱟᱱᱟ᱾

ᱥᱮᱥᱚᱱ ᱪᱮᱫ ᱩᱫᱩᱜ ᱮᱫᱟ

24 ᱮᱞ ᱵᱟᱸᱫᱷᱟᱣ ᱫᱚ ᱨᱩᱞᱮᱴ ᱢᱤᱫ ᱡᱟᱹᱥᱛᱤ ᱡᱤᱛᱚᱜ ᱠᱷᱮᱞ ᱞᱮᱠᱟ ᱵᱩᱡᱷᱟᱹᱣ ᱮᱢᱟ, ᱟᱨ ᱥᱟᱹᱨᱤ ᱜᱮ ᱡᱤᱛᱚᱜ-ᱟ: 64.9% ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ᱾ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱱᱚᱶᱟ ᱞᱮᱠᱟ ᱴᱷᱤᱠ ᱢᱮᱱᱟᱜ-ᱟ ᱡᱮ ᱟᱯᱮ ᱡᱟᱦᱟᱸ 35.1% ᱦᱟᱨᱟᱣ ᱯᱮ ᱚᱱᱟ ᱫᱚ ᱡᱤᱛ ᱠᱷᱚᱱ ᱵᱟᱨ ᱫᱷᱟᱣ ᱠᱷᱚᱨᱚᱪᱚᱜ-ᱟ, ᱟᱨ ᱱᱚᱶᱟ ᱦᱤᱥᱟᱹ ᱫᱚ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱛᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ −1/37 ᱨᱮ ᱥᱟᱡᱟᱣ ᱢᱮᱱᱟᱜ-ᱟ᱾ “ᱵᱤᱢᱟ” ᱞᱟᱹᱜᱤᱫ ᱡᱤᱨᱚ ᱨᱮ ᱢᱤᱫ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱮᱞᱮᱫ ᱯᱮ ᱟᱨ ᱢᱮᱥᱟ ᱵᱟᱲᱛᱤ ᱫᱚ ᱮᱱᱦᱚᱸ 2.70%, ᱪᱮᱫᱟᱜ ᱥᱮ ᱵᱤᱢᱟ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱦᱚᱸ 2.70% ᱜᱮ᱾ ᱥᱚᱢᱥᱭᱟ: ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱟᱨ ᱢᱤᱫ ᱪᱤᱯ ᱥᱟᱦᱴᱟ ᱱᱚᱶᱟ ᱯᱩᱨᱟᱹ ᱦᱤᱥᱟᱹᱵ ᱮ ᱩᱫᱩᱜᱟ᱾

ᱠᱩᱠᱞᱤ ᱠᱚ