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Mathematical modeling in northern Jiangsu
Dear experts, please consult the detailed methods and processes to solve this problem. If you can't give a detailed process, please write your general idea! Thank you very much for the original source: the 5th Subei Mathematical Modeling Alliance /forums/index.php? Showtopic=566 10 Title: Question 1. According to the relevant data in the attached table, a mathematical model is established to analyze the factors affecting the number of private cars in this area and predict how many private cars will be owned in this area by 20 10. Question 2: Since 2007, the CPI index has reached a record high. In order to stabilize the macro-economy, control the excessive rise of investment and prices, and prevent excessive asset price bubbles and excessive speculation, the government decided to adopt a tight monetary policy from last year and the future, such as raising interest rates and raising the RMB deposit reserve. According to statistics, in 2007, the government raised interest rates five times and the deposit reserve ratio nine times, and analyzed the impact of these measures on the number of private cars in this area. Question 3. Suppose that the annual mileage of private cars is one fifth of that of buses. According to the national automobile exhaust emission standard (Euro III) (CO emission does not exceed 2.3g per kilometer, HC+NOX emission does not exceed 0.56g per kilometer, and PM emission does not exceed 0.05g per kilometer), how to control the number of buses and private cars according to the automobile exhaust emission situation in this area? Schedule: 1996-2008 Relevant statistical data of a certain area (yuan) Gross domestic product per capita (GDP) Total retail sales of consumer goods in the whole society (one billion yuan) Total investment in fixed assets in the whole society (one billion yuan) Number of buses in operation (hundreds of millions of passengers) Average noise of urban traffic trunk lines (decibels) Total mileage of buses in operation (ten thousand kilometers) Total road length (kilometers) Per capita disposable by residents. Average annual price of gasoline (No.93) (RMB/liter) Number of private cars (ten thousand vehicles)1996 27000 297.35 327.53 2658 6.3168.315948 737163/kloc. 2763 6.94 69.6 17 130 789 18600 707.67 2.28 3.6 1998 33282 423.00 474.63 280 1 5.73 69.7 17866 894 / kloc-0/98 86 86 1.88 2.32 4.2 1999 33689 467.57 569.55 2887 7.76 69.8 1896 1 10 15 20249 94 1 .99 2.38 4.8 2000 4 1020 538. 17 6 16.25 2920 8.23 69.7 19688 1 198 2 1626 1 082.6 2.73 6.7 200 1 43344 832.04 686.37 3495 8.87 68.3 2 4465 136 1 23544 1373.4 2.89 9. 1 2002 46030 94 / kloc-0/.94 788. 15 3495 9.57 68.2 248 14 17 10 2494 1 65 438+0756.5 2.82 13 2003 53887 1095. / kloc-0/3 969. 1 4885 9.65 68.7 36 149 2 100 25936 2 199.5 3.08 18.9 2004 59276 5438+0 1250.64 1 092.6 5376/KOOC-0/92.6 season/KOOC-0/974 479.79 49898966 094 2832 773/KOOC-0/968.25./KOOC-0/3/KOOC-0/07./KOOC-0/0. 9223 408.82 332+088 4.5 68.6 65438+207.4 season 65438 First of all, after you copy and paste, the following table will be out of order, and you will spend your eyes looking at the data. I'm too lazy to read it carefully. I can only provide some ideas. Generally, the tight monetary policies, such as raising interest rates and raising RMB deposit reserve, which have a great relationship with the per capita disposable income of residents, have a restraining effect on the number of private cars in this area. Because first of all, if you need a loan to buy a car, the repayment amount will increase because of the increase in interest; Secondly, for residents, the 20w cash, which is also used to buy a car, increases the interest earned in the bank due to the interest rate hike, and the car is a depreciated product, so the people's desire to buy a car will be reduced. The third problem is to establish a function, the total amount of exhaust gas = (number of private cars × number of private cars × number of buses × number of buses) × emission value (this is a fixed value, right