In order to support the reconstruction of the earthquake stricken area of Yushu, Qinghai Province, a company rented eight trucks of different models a and B to transport 250 cases of drugs and 370 cases of daily necessities to Yushu, Qinghai Province. It is known that a type a truck can transport 30 cases of drugs and 50 cases of daily necessities, and a type B truck can transport 50 cases of drugs and daily necessities Supplies 40 cases. What kind of car rental scheme do you have? Please help to design it
Let's rent X type a freight cars and (8-x) type B freight cars. According to the meaning of the question, it is obtained that 30x + 50 × (8 − x) ≥ 25050x + 40 × (8 − x) ≥ 370, and the solution is that 5 ≤ x ≤ 7.5 x = 5, 6, 7. There are three kinds of car rental schemes: 5 type a freight cars and 3 type B freight cars; 6 type a freight cars and 2 type B freight cars; 7 type a freight cars and 1 type B freight car