Mathematics programmers - Nakonechny S.I.

Заключні зауваження

For Fahivtsya z ekonomiki otrimannya optimal to the plan of tasks and can not be servant to the kintsevoyu method. Vazhlivishim є analiz otrimanoj rozv'yazku. Oskilki zovnіshnі ta vnutrishný umovi be-yakoy ekonomichnoї sistemi dos minivi, then fahivtsya, a formulate the problem, as a rule, tjikavit takozh stіykіst optimal plan, sho osvetsya z pivnimi dіapazanami zmіn koefіtsієntіv, yakі mіstitsya v vectors C , V matratsi A. Vrahuvannya zmіn obshyagіv resursiv, tsіn na produkіyu, tehnologicheskikh koefіtsієntіv dye zmogu viznachati, in some areas of minds, the function of economical systems is to bring up to the most optimal plan, and if such a plan is unheard of, it is unacceptable.

Moreover, for the results of analysis of linear models, it is possible to excel directly with systems, but to add (in this way, the resource, the encumbrance of such a system can be reduced to the coloring of the value of the function, the production of goods, the production of goods), within the framework of the structure of the optimal plan Do not reshape.

Лінійне програмування забезпечує широкі можливості також при аналізі models for sensitivity and performance of parametric additions.

Supervised livelihoods

  1. Give an economical interpretation of the direct tasks of the linear program .
  2. Yak viznachiti, sho resource є defitsitnim (nedifitsitnim)?
  3. Yak viznachiti, sho vyrobnitsvo produkcii - profitable (unprofitable)?
  4. Yak vplyivaє on the optimal plan for introducing dodatkovoy obmezhennia?
  5. Yak vplivala on the optimal plan introduced by the new?
  6. Yak viznachiti status of resources in direct tasks, and it is subject to the strictures of the agreements on the reserves of deficit resources?
  7. Yak viznachiti plan vibrobitnitsva produktії t zmіnu income pіdpriєmstva, yakshcho zbіlshiti (zmenshiti) otsyag resursіv?
  8. Yak viznachiti profitability of the cutaneous form of production, so vygotovlyaetsya pidpriemstvі?
  9. Yak rozrauvati intolvali mozlivih zmіn tsіn on oditnitsu dermal kind of product?
  10. Як виробник має змінити план виробництва продукції, Щоб уникнути втрат, пов'язаних із надвиробництвом відповідного виде продукіії?

Butts that zavdannya for self-robotics

At the guidance of the lower tasks vikonati takіі дії:

1) record the mathematical model of the direct tasks;

2) record the optimal planning of the direct tasks, the date of the economy and the inter- netation;

3) viznachiti status of resources, shcho vikoristovytsya for vyrobnitstva produkcii, the profitability of the cutaneous form of production;

4) to calculate the number of stakes in bills of shares stosno zmіni reserves of deficit resources;

5) rozrauvati intolvali mozhlivih zmіn tsіn on oditnitsu profitable products.

Task 4. 1. Pidpriemstvo vigotovlyaet three products: A, B, C, vikoristoyuchi for the third three resources, 1, 2, 3. Normi ​​vitrat syіh resursiv on vibrobnitvo odinnitsi produkcii ta reserve resources in the table:

Resource

The norm of the vitrate resource on the vibro-

Stock inventory

A

AT

FROM

1

18

15

12

360

2

6th

4

8

192

3

5

3

3

180

Відомі ціни реалізації одниці продукції skin type: А - 9 mind. Od., In - 10 mind. Od. І С - 16 mind. Od. Viznachiti plan vibrobitntsva produkcii, scho zabezpechuyu pіdpriemstvu naybіshy vyshchy virchki.

A simplex simplex table of problems is given such a visage:

Problem 4. 2 . Pідприємство виготовляє продукцію видів А, В і С, для чого використовує три види ресурсів. Normi ​​vitrat cich resources on the virginess of the skin type of the product of that resource, the nayavnih on підприємстві, are in the table:

Resource

The norm of the vitrate resource on the vibro-

Stock inventory

A

AT

FROM

1

4

2

1

180

2

3

1

3

210

3

1

2

5

244

Відомі ціни реалізації одниці продукції skin type: A - 10 minds. Od., B - 14 mind. Od. І С - 12 mind. Od. Viznachit plan vibrobitvtva, scho zabezpechuyu pіdpriemstvu naybіlshu virusku vіd realizatsії produktsії.

Ostannya simplex-table, the optimal optimal plan of tasks, and such a vigil: