Economic-mathematical methods and models RFEI SOLUTION!

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Economic-mathematical methods and models RFEI 2016 detailed solution to the formulas in MS Excel format
A detailed solution to the formulas in the format of MS Excel.

Objective 1
The Bank under a% per annum put some amount of x0. After n years the account has appeared b mln. Rub. What is the size of the amount of on-x0?
A) x0 = b / (1 + 0,01a) n;
B) x0 = b * (1 + 0,01a) n;
B) x0 = (1 + 0,01a) n / b.

Task 2
Family Bukin annually submits to the bank account of 150 000 rubles. Five years later, the family dreams of becoming millionaires and note the appearance of their first million. To carry out the dream of entrepreneurial investors, if the interest rate is 24.2% per annum? How much money (in rubles) is expected to be enrolled in the account Bukin the completion of the fifth year?
A) 968 758, 35 rubles.
B) 841 231, 78 rubles.
B) 1505 291.37 rub.

Objective 3
Determine the amount due as interest on the loan, if the loan amount is 200 000 rubles., Loan term - 0.5, with the rate of simple interest of 12% per annum.
A) 212 000 rubles.
B) of 12 000 rubles.
B) 15 300 rubles.

Task 4
The loan in the amount of 500 000 rubles. issued for a term of 5 years at 7% per annum. Compounding interest calculation frequency - at the end of each year. Determine the total amount of debt on the loan at maturity.
A) 943 188, 05 rubles.
B) 802 890, 74 rubles.
B) 701 275, 87 rubles.

Problem number 5
You invested 50 000 rubles for 15 years at 20%. No additional contributions. Each year, the interest income is added to the principal amount. Enter the amount, which would be listed on your account after 14 years.
A) 854 258, 45 rubles.
B) 702 790, 84 rubles.
B) 641 959, 23 rubles.

Problem number 6
You invested 50 000 rubles for 15 years at 20%. No additional contributions. All profits you shoot. Specify the amount of profit that you get after ´12 finding your deposit account.
A) 10 000 00 rubles.
B) 22 790, 54 rubles.
B) 41 809, 06 rubles.

Problem number 7
Determine Will make a purchase of the cottage worth 100 000 000 rub., If you take a bank loan for 12 years at 6% per annum with monthly payment of 1 million rubles. (payment at the end of each period).
A) Yes, t. To. Obtain 105 573 247.10 rubles.
B) Yes, t. To. Obtain 102 474 743.16 rubles.
B) Yes, t. To. Obtain 124 430 724.41 rubles.

Task number 8
Investment in the project by the end of the first year was 21 000 dollars., And expected revenues in the next four years will amount to 3 200 dollars., 9000 US $. 10 $ 900. 14 $ 500. At the 6th year expected loss of 5000 dollars. The price of capital is 8% per annum.
It is required to determine the real cost of the project.
A) 4 to $ 1518.48.
B) 3 to $ 213.39.
B) 5 to $ 172.96.

Objective number 9
Solve the problem of linear programming: furniture studio is engaged in manufacturing various furniture, including tables and chairs. For the manufacture of the chair requires 3 kg of wood, and for the manufacture of the section - 7 kg. On the making of a chair it takes 2 hours of working time, and in the production of table - 8 hours. Each chair brings a $ 1 profit, and every table - $ 3. How many chairs and many tables is to make furniture studio, if it has 420 kg of wood and 400 hours of working time and wants to get the maximum profit?
A) 56 chairs, 36 tables, 164 dollars. Profit.
B) 67 chairs, 25 tables, $ 205. Profits.
B) 56 chairs, 36 tables, 458 dollars. Profit.

Problem number 10
Inventory management system described by the model of production and supply has the following parameters: the demand is 1500 units per year, the cost of storage per unit of goods during the year - USD 0.2., 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.
A) unit 503 and 29 days.
B) units 604 and 27 days.
B) 474 and 38 days.

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