Iqtisodchilar uchun matematika II
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Iqtisodchilar uchun matematika II
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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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? __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 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. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ Download 412.64 Kb. 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