Bằng phương pháp hình học, hãy tìm nghiệm và giá trị tối ưu của bài toán qui hoạch tuyến tính sau đây:
Min f

(x) = −3x1 + x2


x1 + x2 ≤ 4
x2 − x1 ≥ −1
x1, x2 ≥ 0.

When benny’s sister penny is 24, benny’s age will be 125% of her age. how old is lenny? a) how old will benny be then? b)if benny is 12 years old now, how old is penny now? explain your reasoning.

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

Math it's appreciated. (picture provided)