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Mathematics, 09.11.2021 01:00 Dwoods4515

Xét thị trường hai loại hàng hóa X, Y. Giả sử khi mua x (> 0) lượng hàng hóa X và y (> 0) lượng hàng hóa Y, người tiêu dùng thụ hưởng hàm hàm lợi ích U = U(x, y) = 3(x – 2)2(y – 5) – (x – 2)3 – (y – 5)4 + 30.
Xét các khẳng định dưới đây.
(1) U có hai điểm cực trị M1(2, 5) và M2(8, 8)
(2) Cả hai túi hàng hóa (x = 2, y = 5) và (x = 8, y = 8) đều tối ưu hóa lợi ích U
(3) Túi hàng hóa (x = 2, y = 5) không tối ưu hóa lợi ích U
(4) Túi hàng hóa (x = 8, y = 8) không tối ưu hóa lợi ích U
Đếm số khẳng định đúng.

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