ECONOMY-mathematical methods and models RFEI dom.rab.

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"Economic and mathematical methods and models"

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Problem number 6
You invest 50 000 rubles for 15 years at 20%. Additional contributions there. All profits you shoot. Specify the amount of profit that you will receive after ´12 finding your deposit account.
Problem number 7
Determine whether the will be able to make a purchase of the cottage worth 100 million rubles., If you take out a bank loan for 12 years at 6% per annum with monthly payment of 1 million rubles. (At the end of each period of payment).
Task number 8
Investment in the project by the end of the first year will amount to $ 21 000, and the expected revenues in the next 4 years will be:. 3200 of $ 9 to $ 000 10 $ 900, $ 14 500 on the 6th year expected loss 5 000.... dollars. The price of capital is 8% per annum. Required to determine the true cost of the project.
Problem number 9
Solve the linear programming problem: Furniture Studio is engaged in manufacturing various furniture, including tables and chairs. For the manufacture of chairs require 3 kg of wood, and for producing a table - 7 kg. On the making of a chair it takes 2 hours of working time, and in the production of the table - 8 hours. Each chair is worth 1 dollar profit, and each table - $ 3. How many seats and how many tables should produce furniture studio, if it has a 420 kg timber and 400 hours of working time and wants to get the maximum profit?

Task number 10
Inventory management system described by the model of production and supply has the following parameters: the demand is 1,500 units per year, the cost of storage of goods units during the year - 0.2 dollars, organizational costs - $ 10 during the year can be produced 4500 units sold.. with a full load of the production line.
Determine the optimal batch size and duration of delivery.


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