# The investor, which is the sum of 300 thousand. Den. u, we can

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## Product description

1. Theoretical question: Special cases solutions ZLP graphical method
2. Problem 1 Solve graphically typical optimization problem
The investor, which is the sum of 300 thousand. Den. u can invest their capital in shares of Group A and automobile construction company B. To reduce the risk A share must be purchased for the sum of at least two times greater than in shares, the latter can buy no more than 100 thousand . den. u Dividends on shares of A is 8% per year, shares in the - 10%. What is the maximum profit can be obtained in the first year? Build ekonomikao-mathematical model of the problem, give the necessary comments to its elements and get the solution graphically. What happens if I solve the problem in the least, and why?
3. Task 2 Investigate the dynamics of economic indicators based on analysis of one-dimensional time series.
For nine consecutive weeks was fixed demand Y (t) (mln. Rub.) For credit finance company
Required:
1. Check for anomalous observations.
2. Construct a linear model Ỹ (t) = α0 + α 1 t, the parameters of which OLS estimate (Ỹ (t)) - calculated, simulated values \u200b\u200bof the time series.
3. Assess the adequacy of the constructed models using independence properties of the residual components of chance and matching normal distribution (using the R / S-criterion to take tabulated borders 2.7-3.7).
4. Assess the accuracy of the models through the use of an average relative error of approximation.
5. According to one model, built to carry out a forecast of demand for the next two weeks (CI forecast calculated with a confidence probability P = 70%).
6. The actual value of the indicator, the results of modeling and forecasting represented graphically.
4. Task 3 Calculate the parameters of the models of cost-effective size of ordered party.
Timber is delivered to the warehouse on the barge of 1500 tonnes. Per day from the warehouse users take 100 tonnes. Lumber. Overhead costs for the delivery of lumber Party are 3 thousand. Rub. The cost of 1 ton of storage. Lumber during the day is 0.2 rubles. Required: 1) the duration of the cycle, the average overhead costs and average costs of storage; 2) the same values \u200b\u200bfor batch sizes of 500 m. In 3000t; 3) What is the optimal size of the party ordered to the design characteristics of the warehouse optimally.
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