Iqtisodchilar uchun matematika II

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Iqtisodchilar uchun matematika II
 
1. Talab funksiyasi 
𝑄
𝐷
= 𝑓(𝑃) = 20 + 5𝑃 ko‘rinishga ega. Talabning bahoga 
nisbatan egiluvchanligini aniqlang. Talab miqdori 25 ga teng bo‘lganda uni 
baholang. 
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2. Firmaning mahsulot ishlab chiqarishdan oladigan umumiy daromadi
𝑇𝑅 = 100𝑄 − 2𝑄
2
funksiya ko‘rinishida ifodalangan. Firmaning marjinal 
daromad funksiyasini toping va Q=15 uchun marjinal daromadni aniqlang. 
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3. Firmaning umumiy xarajat funksiyasi 
𝑇𝐶(𝑄) = 1000𝑄 +
3𝑄
2
2
ko‘rinishga ega.
a) marjinal xarajat funktsiyasini aniqlang;
b) Q=100 birlik mahsulot ishlab chiqarish bilan bog‘liq bo‘lgan qo‘shimcha 
xarajatni aniqlang. 

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4. Firmaning talab funksiyasi 
10𝑄 − 50 + 2𝑃 = 0 tenglama ko‘rinishida, o‘rtacha 
xarajati esa
𝐴𝐶 − 10 = 𝑄
2
− 9𝑄 +
20
𝑄
tenglama ko‘rinishida berilgan.
Firmaning
a) daromadini maksimallashtiruvchi;
b) marjinal xarajatni minimallashtiruvchi;
v) foydasini maksimallashtiruvchi ishlab chiqarish hajmini aniqlang. 
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5. Talab funksiyasi 
𝑄
𝐷
= 𝑓(𝑃) = 5 + 0,3𝑃 ko‘rinishda berilgan. Talab 
egiluvchanligi – 1 ga teng bo‘lishi uchun mahsulot bahosi qanday bo‘lishi kerak? 

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6. A tovarga bo‘lgan talab va taklif funksiyalari quyidagi ko‘rinishda berilgan:
𝑄
𝐷
= 𝑓(𝑃) = 500 − 0,2𝑃 
𝑄
𝑆
= 𝑔(𝑃) = 𝑃 + 0,3𝑃 
Bozordagi muvozanat bahosini toping hamda shu bahoga talab va taklif 
egiluvchanligini hisoblang. 
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7. Firmaning marjinal xarajat funksiyasi 
𝑀𝐶 = 6𝑄
2
− 4𝑄 + 7 ko‘rinishga ega. 
Agar Q=6 birlik mahsulot ishlab chiqarilganda firmaning xarajati 500 p.b. ni 
tashkil etsa, u holda uning umumiy xarajat funktsiyasini toping. 
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8. Quyida mahsulotga bo‘lgan talab va taklif funksiyalari berilgan: 
𝑃
𝐷
= 𝑄
2
− 200𝑄 + 3500 (talab funksiyasi) 
𝑃
𝑆
= 𝑄
2
− 1500(taklif funksiyasi) 
Bu erda Q-mahsulot miqdori, P – bir birlik mahsulot bahosi. Quyidagilarni 
aniqlang:
a) tovarning muvozanat bahosi va miqdorini;
b) iste’molchilarning ortiqcha foydasini; 
c)ta’minotchining ortiqcha foydasini. 
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