RFEI Economic-mathematical methods and models 2 work!

questions

1. Set the correct sequence for some of the existing steps of problem solving:
a) the test solution; find a solution; create a favorable regime;
b) to find a solution; test solution; create a favorable regime;
c) create a favorable regime; find a solution; test solution.

2. What is the idea of the method of simple interest?
a) The fact that the interest is calculated on the initial debt if the debt is calculated only in whole years.
b) The fact that the interest is calculated on the initial debt.
c) The fact that interest is calculated not only on the initial amount, and the interest already accrued to it from the previous period.

3. You put in Savings of 20 000 rubles. by 5.5% per annum (the deposit "Jubilee"). How much money will you have on deposit at the end of the year?
a) 21 100 rubles.
b) 21 000 rubles.
c) 22 000 rubles.


etc.

30. What determines the rate maxmin in matrix game?
a) The player´s choice of such a strategy, in which its minimum gain maximum.
b) The choice of the player of such a strategy, in which its maximum gain is minimal.
c) Selecting a player of such a strategy, which will lead to the equilibrium situation.
Objective 1
The Bank under a% per annum put some amount of x0. After n years on account 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.

Objective 2
Bukin family annually makes to your bank account 150 000 rubles. Five years later, the family wants to become 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) must be listed on the account allegedly Bukin on completion of the fifth year?
A) 968 758, 35 rubles.
B) 841 231, 78 rubles.
B) 1 505 291,37 rubles.

Objective 3
Determine the amount due as interest on the loan, if the loan amount is 200 000 rubles, the loan period -. 0.5 years at a simple interest rate 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 period 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 invest 50 000 rubles for 15 years at 20%. Additional contributions there. Each year, the profit interest is added to the principal amount. Enter the amount, which would be listed in your account after 14 years.
A) 854 258, 45 rubles.
B) 702 790, 84 rubles.
B) 641 959, 23 rubles.
...... etc.
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?
A) 56 chairs, 36 tables, 164 dollars. Profit.
B) 67 chairs, 25 tables, 205 dollars. Profit.
B) 56 chairs, 36 tables, 458 dollars. 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.
A) unit 503 and 29 days.
B) 27 and 604 units of days.
B) 474 and 38 days.