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In the fight against the "5.12" Wenchuan earthquake, a city organized 20 vehicles to transport 100 tons of food, medicine and daily necessities to the resettlement sites. According to the plan, all 20 vehicles will be loaded, and each vehicle can only carry the same kind of relief materials and must be full Type of goods and materials food and drug daily necessities transport capacity per vehicle (ton) 654 per ton freight required (yuan / ton) 120160 100 (1) suppose the number of vehicles carrying food is x and the number of vehicles carrying medicine is y. find the functional relationship between Y and X; (2) if the number of vehicles carrying food is not less than 5 and the number of vehicles carrying medicine is not less than 4, how many schemes are there for the arrangement of vehicles? (3) under the condition of (2), if the total freight is the least, which arrangement should be adopted? And calculate the least total freight
(1) According to the meaning of the question, the number of vehicles carrying food is x, the number of vehicles carrying medicine is y, then the number of vehicles carrying daily necessities is (20-x-y), there are 6x + 5Y + 4 (20-x-y) = 100, sorted out, y = - 2x + 20; (2) according to (1), the number of vehicles carrying food, medicine and daily necessities is respectively
An automobile transportation company plans to ship three kinds of fruits to other places for sale
A, B and C
Tonnage per vehicle
Profit per ton of vegetables
(1) There are x tons of type a fruits. Please use X to express the total weight and profit of these three fruits
(2) It is known that the weight of these three kinds of fruits are all integers. Please design a scheme to save vehicles as much as possible, so that the fruits can be transported exactly
(1) X + 0.5x + 0.75 = total weight; 5x + 3.5x + 3x = total profit
（2）
Our city's agricultural structure adjustment has achieved great success, and this year's fruit harvest is also good. A township organized 30 vehicles to transport 64 tons of a, B and C fruits to other places for sale. It is stipulated that each vehicle only carries one kind of fruit, and must be full; there are no less than 4 vehicles carrying each kind of fruit; at the same time, the weight of B fruits does not exceed the sum of the weight of a and C fruits Fruit variety a, B and C: 2.22.12 per vehicle (ton); profit per ton of fruit (100 yuan) 5 (1) suppose x cars are used to transport a kind of fruit and Y cars are used to transport B kinds of fruit. According to the information provided in the table below, find the functional relationship between Y and X and write out the value range of the independent variable; (2) suppose the profit of this export activity is Q (ten thousand yuan), find the functional relationship between Q and X, please put forward a vehicle distribution scheme when you get the maximum profit
(1) From the question, we get: 2.2x + 2.1y + 2 (30-x-y) = 64, so y = - 2x + 40, and because x ≥ 4, y ≥ 4, 30-x-y ≥ 4, then - 2x + 40 ≥ 4, 30-x - (- 2x + 40) ≥ 4, 14 ≤ x ≤ 18; ∵ y ≤ x + 30-x-y, y = - 2x + 40, ∵ x ≥ 12.5, ∵ 14 ≤ x ≤ 18; (2) q = 6 × 2.2x + 8 × 2
A town in our city organized 20 vehicles to transport 100 tons of fruits a, B and C to other places for sale. According to the plan, all 20 vehicles will be shipped, and each vehicle can only carry the same kind of fruit, and must be full. According to the information provided in the table below, the varieties of fruits a, B and C are as follows
Carrying capacity of each vehicle (ton) 654
Profit per ton of fruit (100 yuan)
(1) Let X be the vehicle carrying a fruit and y be the number of vehicles carrying B fruit;
(2) The total profit of this sale is w (hundred yuan), and the functional relationship between W and X is obtained;
(3) If 4 ≤ x ≤ 8 in (1) and (2), how to arrange vehicle transportation to make sales more profitable?
This topic is different from that on the web page
Suppose that the vehicles carrying ABC fruits are XYZ, then according to the meaning of the question, the following equation is obtained: x + y + Z = 20 (1) 6x + 5Y + 4Z = 100 (2) (12 × 6) x + 16 × 5) y + 10 × 4) Z
RELATED INFORMATIONS
- 1. A fruit company uses 20 vehicles to transport 42 kinds of a, B and C fruits to other places for sale. Each vehicle can only transport the same kind of fruit, full of each kind of fruit
- 2. A local product company organizes 20 vehicles to ship three kinds of local products of a, B and C for sale in other places. According to the plan, 20 vehicles will be shipped, and each vehicle can only ship the same kind of local products, and must be full. Suppose the number of vehicles carrying a kind of local products is x, and the number of vehicles carrying B kind of local products is y. according to the information provided in the table below, the number of vehicles carrying a kind of local products of a, B kind of local products of a, B type of local products of a, B type of local products of B is y Carrying capacity of each vehicle (ton) 8 65 Profit per ton of local products (100 yuan) 12 16 10 How many tons of local products have these 20 cars shipped? How many ten thousand yuan is the total profit after the sale of this batch of local products?
- 3. The table below shows the quality of vegetables a and B that can be transported by each vehicle. Each vehicle is required to be fully loaded according to the regulations, and each vehicle can only transport one kind of vegetables. If 8 vehicles are used to transport 11 tons of vegetables, how many vehicles are there for vegetables a and B Vegetable type A and B Tonnage per vehicle at full capacity 1.5
- 4. 12 tons of disaster relief materials were transported to Yushu earthquake stricken area by car, and 6 / 11 of these materials were transported three times. On average, what percentage of these materials were transported each time? How many tons each time?
- 5. After the strong earthquake occurred in Yushu area of Qinghai Province, the state immediately launched the disaster relief plan to actively carry out the transportation of relief materials to the disaster area and the treatment of the wounded. It is known that Xining Airport and Yushu airport are 800 kilometers apart, and plane a and B start from Xining and Yushu along the same route, facing each other. As shown in the figure, line AB and CD respectively indicate that plane a and B leave Yushu airport (Note: for convenience of calculation, the unit of distance s in the plane rectangular coordinate system is set as (100 km)). Observe the image and answer the following questions: (1) how many hours after the departure of plane a, does plane B leave Yushu airport? How many kilometers per hour are the flight speeds of aircraft a and B? (2) (3) when a and B met, how many hours did B fly? How many kilometers from Xining Airport?
- 6. At 7:49 a.m. on April 14, 2010, Yushu County, Qinghai province suffered a 7.1 magnitude earthquake. After receiving the production task, a tent production enterprise increased production investment and improved production efficiency. In fact, it produced 200 more tents per day than the original plan. It is known that the time used to produce 3000 tents is the same as that used to produce 2000 tents per day How many tents can be produced?
- 7. It transported 360 tons of goods, loaded 6 train cars and 15 cars; transported 440 tons of goods, loaded 8 train cars and 10 cars. How many tons of goods were loaded in each train car and each car?
- 8. The first batch of 360 tons of chemical fertilizer transported to a certain place requires 6 trains plus 15 cars, and the second batch of 440 tons requires 8 trains plus 10 cars. How many tons are loaded into each train skin and each car on average
- 9. A train loaded a batch of goods. Originally, 36 tons of energy-saving goods were loaded, but 80 tons were not loaded. Later, 4 tons more were loaded in each car, As a result, after loading the goods, there are just two carriages left. How many carriages does this train have? How many tons does this batch of goods have?
- 10. How many cars are there? How many tons are there in this batch of goods
- 11. In an earthquake relief, a city organized 20 vehicles to transport three kinds of relief materials, including food, medicine and daily necessities, to the resettlement area. According to the plan, all 20 vehicles should be transported, and each vehicle can only carry one kind of relief materials and must be filled up Type of goods and materials: food, drugs and daily necessities: Freight (RMB) 120 160 100 (1) how many tons of disaster relief materials are loaded by 20 vehicles? (2) How much is the total cost of shipping this batch of disaster relief materials?
- 12. The distance between a and B is 424km. A truck and a passenger train drive from a and B at the same time. After 4 hours, they meet. The bus is 14km faster than the truck per hour. What's the speed of the two cars?
- 13. Buses and trucks travel from two places 852km apart and face each other at the same time. When they meet, the distance of buses is 189km less than twice that of trucks. How many kilometers do buses and trucks travel?
- 14. The passenger car and the freight car run from a and B at the same time. They meet each other in five hours. After meeting, the passenger car goes to B in three hours. It is known that the freight car travels 63 kilometers per hour, and how many kilometers per hour does the passenger car travel?
- 15. The length of the railway between city a and city B is 435 meters. The passenger and freight trains start from the two cities at the same time and travel in opposite directions. The passenger trains travel 60 kilometers per hour and the freight trains 45 thousand per hour Then the above question, meters, how many hours after the two cars 15 kilometers apart?
- 16. The distance between the two places is 720 kilometers, and the passenger cars and freight cars are running from both places at the same time. It is known that the passenger cars are 80 kilometers per hour, and the speed ratio of the passenger cars and freight cars is 4:3. After a few hours, the distance between the two cars is 20 kilometers?
- 17. The length of A-B railway is 2775 km. Passenger cars and freight cars leave from the two places at the same time. The distance is 555 km in 12 hours. Passenger cars are 90 km per hour. What about freight cars? It is not listed in detail,
- 18. Passenger cars and freight cars start from the two places at the same time and meet each other in five hours. Freight cars travel 50 kilometers per hour and passenger cars 65 kilometers per hour. How long is the railway between the two places?
- 19. The speed of a freight car is 95% of that of a passenger car. Two cars are driving from two places at the same time. They meet 8 kilometers away from the midpoint to find the distance between the two places! We need formula, formula, not equation, not equation! And we need to write the truth, write the truth!
- 20. The distance between a and B is 700 km. A bus and a freight car run from a and B at the same time. The speed of the bus is 80 km. The speed ratio of the bus to the freight car is 4:3. How long will the distance between the two cars be 280 km?