2. Starting from 200 1, China's college entrance examination began to try out the independent proposition of provinces and cities. Collect relevant data and make necessary statistical analysis of what you think is meaningful.
A traveler must take some things with him when traveling. The weight of the first item is kilograms, and the "value" he carries is (). Ask him what items he should bring so that the total weight of the items does not exceed kilograms and the total "value" is maximized. Try to build a mathematical model.
4. Using the knowledge of graph theory, solve the following equipment renewal problems (please establish a graph model and give the solution process):
When an enterprise uses a piece of equipment, at the beginning of each year, enterprise leaders have to decide whether to buy new equipment or continue to use old equipment. If you buy new equipment, you need to pay a certain purchase fee; If you continue to use it, you have to pay a certain maintenance fee. Now, we should make an equipment renewal plan within one year, so that the total payment will be the least. Assume that the price of the equipment is (ten thousand yuan) at the beginning of each year. The maintenance cost of the equipment after years of use is (ten thousand yuan).
5. Two methods are used to calculate the number of dislocations.
6. Patient waiting problem
There is a doctor on duty in a department of the hospital. After long-term observation, there are 4 patients per hour on average, and doctors can treat 5 patients per hour on average. The patient's arrival obeys Poisson distribution, and the doctor's visit time obeys negative exponential distribution. Try to analyze the working conditions of this department. If more than 99% of patients have seats, how many seats should this department have at least? If the company goes to work 24 hours a day and the patient goes to see a doctor 1 hour, the company will lose 30 yuan because of missing work, so how much does the company lose on average every day? If the department improves the speed of seeing a doctor, it can see 6 patients per hour on average. How much loss can the unit reduce every day? How many seats can be reduced?
7. What factors will be considered when choosing a job near graduation? The analytic hierarchy process model is established, the paired judgment matrix of each factor is given, and the weight of each factor in the target is calculated.
8. What factors are considered when evaluating comprehensive students? The analytic hierarchy process model is established, the paired judgment matrix of each factor is given, and the weight of each factor in the target is calculated.