Task
The average annual population of the Russian Federation in 2013 was 143.3 million people,
number of births – 1 895 822,
the number of deaths is 1,871,809.
Determine the relative intensity of the indicators of the natural movement of the population of the Russian Federation for 2013.
Decision:
Relative intensity values characterize the degree of saturation of a certain medium by the studied phenomenon. They represent the ratio of oppositely named but interconnected quantities and are calculated as the ratio of the magnitude of the phenomenon under study to the volume of the environment in which the phenomenon develops.
To solve the problem, we determine the birth rate of children in 2013 and the death rate.
Thus, the birth rate of children in Russia per 1,000 people in 2013 was 13.2 people, and 13.1 people died per 1,000 people, therefore, the natural increase was 0.1 ppm:
K natural growth _{u003d} K _{p} – K _{cm} u003d 13.2 – 13.1 u003d 0.1.
Source of statistical data: Federal State Statistics Service
My tasks
1. The task of choosing a supplier
A company located and trading in Moscow has the opportunity to buy goods from both Moscow and St. Petersburg suppliers.
Based on the analysis of the total cost, make a decision on the expediency (or inexpediency) of purchasing goods from a supplier located in St. Petersburg.
Table – Initial data for solving the problem.
Name of indicator | unit of measurement | Meaning |
Tariff for the delivery of 1 m ^{3 of} cargo from St. Petersburg | RUB/m ^{3} | |
Interest on a loan raised to pay for goods | % year | |
Increasing the lead time for the purchase of goods in St. Petersburg | days | |
Purchase price of 1 m3 ^{of} goods in St. Petersburg | RUB/m ^{3} | |
Purchase price of 1 m ^{3} goods in Moscow | RUB/m ^{3} | |
When purchasing goods in St. Petersburg, the company incurs additional costs for cargo handling | RUB/m ^{3} | |
When purchasing goods in St. Petersburg, the company incurs additional costs for cargo insurance, calculated as a percentage of its value | % | 1.5 |
Decision:
1) 365 – 12%
15-x
x = 0.5%
2) 36000 * 0.005 u003d 180 (rubles) – interest on the loan
3) 36000 * 0.015 = 540 (rubles) – for insurance
4) 36000 + 2820 = 38820 (rubles) – expenses in St. Petersburg
In Moscow, there are no additional costs, therefore, 39,600 rubles. – total costs.
Costs in St. Petersburg are less by 39600 – 38820 = 780 rubles.
It can be concluded that it is more profitable to buy goods from a St. Petersburg supplier, but maybe from Moscow.
2. The problem of determining the share of costs.
The goods are delivered to the company’s warehouse from a non-resident supplier, first by rail and then by road. Shipping cost items are provided in the table.
Table – Cost items for the delivery of goods.
Name of indicator | unit of measurement | Meaning |
Unit purchase price of goods | RUB/m ^{3} | |
Tariff for the carriage of goods by rail | RUB/m ^{3} | |
Tariff for the carriage of goods by road | RUB/m ^{3} | |
Estimated delivery time | Days | |
Interest rate on capital invested in stocks | %/year | |
Additional costs for cargo insurance, calculated as a % of its value | % |
Determine the share of the total cost of delivering goods from a non-resident supplier in the cost of the delivered goods.
Decision:
1) 365 days – 12%
16 days – x %
x = 16*12/365 = 0.5%
2) Additional costs: 5000 * 0.01 = 50 (rub.)
3) 5000 * 0.005 u003d 25 (rubles) – for invested capital
4) 120 + 600 + 50 + 25 = 795 (rubles)
5) Share of total costs: 795/5000*100 = 15.9%
3. The task of choosing a supplier.
3.1. Calculate and evaluate the rating of suppliers. Which of the suppliers should be preferred when concluding contractual relations? The data is presented in the table
Table – Supplier selection criteria, their evaluation and weight.
Supplier Selection Criteria | Criteria weight | Evaluation of the criterion on a ten-point scale | |||
Supplier A | Vendor B | Supplier B | Supplier G | ||
Price | 0.2 | ||||
Product quality | 0.25 | ||||
Supply reliability | 0.1 | ||||
Conditions of payment | 0.15 | ||||
The financial condition of the supplier | 0.3 |
Decision:
Supplier Selection Criteria | Criteria weight | Evaluation of the criterion on a ten-point scale | The product of the weight of the criterion and the assessment | ||||||
Supplier A | Vendor B | Supplier B | Supplier G | Supplier A | Vendor B | Supplier B | Supplier G | ||
Price | 0.2 | 1.2 | 1.8 | ||||||
Product quality | 0.25 | 1.5 | 1.25 | 1.75 | |||||
Supply reliability | 0.1 | 0.8 | 0.5 | 0.5 | 0.9 | ||||
Conditions of payment | 0.15 | 0.75 | 0.9 | 1.35 | 0.9 | ||||
The financial condition of the supplier | 0.3 | 2.1 | 2.1 | 1.5 | 1.5 | ||||
TOTAL: | 1.00 | – | – | – | – | 6.35 | 6.55 | 6.35 | 6.05 |
3.2. Calculate and evaluate the rating of suppliers. Which of the suppliers should be preferred when concluding contractual relations? The data is presented in the table
Table – Supplier selection criteria, their evaluation and weight.
Supplier Selection Criteria | Criteria weight | Evaluation of the criterion on a ten-point scale | ||
Supplier A | Vendor B | Supplier B | ||
Supply reliability | 0.30 | |||
Price | 0.25 | |||
Product quality | 0.15 | |||
Conditions of payment | 0.15 | |||
Possibility of unscheduled deliveries | 0.10 | |||
The financial condition of the supplier | 0.05 |
Decision:
Supplier Selection Criteria | Criteria weight | Evaluation of the criterion on a ten-point scale | The product of the weight of the criterion and the assessment | ||||
Supplier #1 | Supplier #2 | Supplier #3 | Supplier #1 | Supplier #2 | Supplier #3 | ||
Supply reliability | 0.30 | 2.1 | 1.5 | 2.7 | |||
Price | 0.25 | 1.5 | 0.5 | 0.75 | |||
Product quality | 0.15 | 1.2 | 0.9 | 1.2 | |||
Conditions of payment | 0.15 | 0.6 | 1.05 | 0.3 | |||
Possibility of unscheduled deliveries | 0.10 | 0.7 | 0.7 | 0.2 | |||
The financial condition of the supplier | 0.05 | 0.2 | 0.15 | 0.35 | |||
TOTAL: | 1.00 | – | – | – | 6.3 | 4.8 | 5.5 |
4. Transport task.
4.1. The company CJSC Trading House Era has three warehouses in different parts of the city. Orders were received from four supermarkets for the supply of serving paper napkins. The first supermarket needs 20 boxes, the second – 40, the third – 50, and the fourth – 40. conventional units) transportation of one box of serving paper napkins between each warehouse of the company and the supermarket is indicated in the table.
Warehouses | supermarkets | |||
Determine the minimum cost transportation plan.
Solution: voluminous, I will not write
4.2. 100, 400, 600 tons of fertilizers are concentrated at three departure stations, respectively. This cargo should be delivered to four destinations 300, 500, 100, 200 respectively. Transportation costs (in arbitrary units) of one ton of cargo from the departure station to the destination points are indicated in the table.
Departure stations | Destination | |||
Draw up a plan for the transportation of goods, in which the total transportation costs would be the lowest.
Solution: voluminous, I will not write
5. The optimal size of the ordered batch according to the Wilson formula
5.1. ZAO Nevsky Dom is an intermediary in the market of household chemicals in St. Petersburg. The logistics department of the company was tasked with determining the optimal size of the ordered consignment of goods.
It is known that the cost of supplying a unit of production is 15 monetary units, the annual consumption is 1200 units, the annual cost of storing products is 0.1 monetary units, the size of the delivery lot is 100, 200, 400, 500, 600, 800, 1000 units.
Use the Wilson formula as well as the graphical method to determine the optimal lot size to order. Make calculations in a table, build a graph.
Solution: voluminous, I will not write
5.2. The company carries out intermediary activities in the market of cosmetics in St. Petersburg. The logistics department of the company was tasked with determining the optimal size of the ordered consignment of goods.
It is known that the cost of supplying a unit of production is 10 monetary units, the annual consumption is 1100 units, the annual cost of storing products is 0.1 monetary units, the size of the delivery lot is 100, 200, 400, 500, 600, 800, 1000 units.
To determine the optimal size of the ordered batch, use the Wilson formula, as well as the graphical method. Make calculations in a table, build a graph.
Solution: voluminous, I will not write
6. Determining the location of the warehouse
6.1. In the Gatchinsky district of the Leningrad region there are 4 branches of roadside shops “Peshekhod”. They are located in the villages of Sluditsy (47; 25), Starosiversky (40; 30), Kobralov (50; 66) and Voiskovitsy (25; 50). (The coordinates of the villages are indicated in brackets). Determine the location of the warehouse.
The initial data are given in the table.
No. p p | Freight turnover, t/month | Consumer coordinates | |
By X | According to | ||
one. | |||
2. | |||
3. | |||
4. |
Solution: voluminous, I will not write
6.2. Romashka, a cosmetics retailer, needs a warehouse space in a distribution system serving 5 consumers. Determine the location of the warehouse by searching for the center of gravity of the physical model of the distribution system. All initial data are presented in the table.
No. p / p | Freight turnover, t/month | Consumer coordinates | |
X | Y | ||
Solution: voluminous, I will not write
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