दिया गया है कि इकाइयाँ,
इकाइयाँ,
इकाइयाँ,
इकाइयाँ,
इकाइयाँ और
इकाइयाँ हैं। क्या यह निम्नलिखित परिवहन समस्या का इष्टतम हल है?
यदि यह इष्टतम हल नहीं है, तो इसे प्रयोग करके एक इष्टतम सुसंगत हल निकालिए।
ख) एक फैक्टरी में 6 जॉब पूरी होनी है। प्रत्येक जॉब को दो मशीनों Aऔर B से AB के क्रम में गुजरना है। जॉब का प्रत्येक मशीन पर प्रक्रिया काल दिया गया है। आपको वह अनुक्रम निकालना है जिससे कुल व्यतीत समय T न्यूनतम हो, T का मान क्या है?
| जॉब | मशीन A | मशीन B |
|---|---|---|
| $J_1$ | 1 | 5 |
| $J_2$ | 3 | 6 |
| $J_3$ | 8 | 3 |
| $J_4$ | 5 | 2 |
| $J_5$ | 6 | 2 |
| $J_6$ | 3 | 10 |
___ ___ __________ _____ __________ _______.
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____ ____ _________ _____ _________ ____ ________ _______ _______ _________ ________ _________.
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Determine the EOQ and the optimal number of orders placed in a year.
ii) Determine the optimum production lot size and the average duration of the production run.
Use dual simplex method to solve the following LPP:
Minimize:
Subject to the constraints:
Which of the following statements are true? Give reasons for your answers.
i) If an item is ordered frequently, then the risk of running out of stock is least.
ii) In deterministic queuing model, arrival rate must not exceed the service rate.
iii) The critical path of a project network represents the minimum time needed to complete the project.
iv) A necessary and sufficient condition for a basic feasible solution for a minimization LPP to be optimum is that all .
v) If dual has an unbounded solution, primal has a feasible solution.
निम्नलिखित LPP को ग्राफीय विधि से हल कीजिए : का अधिकतमीकरण कीजिए जबकि :
तथा ।
A firm produces there product A, B and C. It uses two types of raw materials I and II of which 5000 and 7500 units respectively are available. The raw material requirements per unit of the products are given below:
| Raw Material | Requirement per unit of product | ||
| A | B | C | |
| I | 3 | 4 | 5 |
| II | 5 | 3 | 5 |
A manufacturing company needs 2500 units of a particular item every year. The company buys it at the rate of ₹ 30 per unit. The order processing cost for this item is estimated at ₹ 15 and the cost of carrying a item in stock comes to about ₹ 4 per year. The company can manufacture this item internally. In that case it saves 20% of the price of the product. However, it estimates a set-up cost of ₹ 250 per production run. The annual production rate would be 4800 units. However, the inventory holding costs remain unchanged.
At present a company is purchasing an item ‘x’ from outside suppliers. The assumption of unit is 10000 units/year. The cost of the item is ₹ 5 per unit and the ordering cost is estimated to be ₹ 100 per order. The cost of carrying inventory is 25%. If the consumption rate is uniform, determine the economic order quantity.