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.
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एक परियोजना अनुसूचि के निम्नलिखित लक्षण हैं :
| गतिविधि | समय |
|---|---|
| 1 – 2 | 4 |
| 1 – 3 | 1 |
| 2 – 4 | 1 |
| 3 – 4 | 1 |
| 3 – 5 | 6 |
| 4 – 9 | 5 |
| 5 – 6 | 4 |
| 5 – 7 | 8 |
| 6 – 8 | 1 |
| 7 – 8 | 2 |
| 8 – 10 | 5 |
| 9 – 10 | 7 |
एक फर्म तीन उत्पाद A, B और C बनाती है। यह दो प्रकार I और II का कच्चा माल प्रयोग करती है जिसकी क्रमशः 5000 और 7500 इकाइयाँ उपलब्ध हैं। प्रत्येक उत्पाद की इकाइयों के लिए आवश्यक कच्चा माल नीचे दिया गया है :
| कच्चा माल | उत्पाद की प्रति इकाई आवश्यकता | ||
|---|---|---|---|
| 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.
निम्नलिखित LPP को हल करने के लिए द्वि-विमीय विधि का प्रयोग कीजिए: का अधिकतमीकरण कीजिए
जबकि :
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.
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.