An oil engine manufacture purchase lubricants at the rate of 
50 per unit from a vendor. The requirement of these lubricants is 1800 units per year. The cost of placing an order is 40 and inventory carrying cost per rupee per year is only 20 paise. Find the Economic Order Quantity (EOQ). Also find the cycle time.
To find the Economic Order Quantity (EOQ) and the cycle time, we need to use the following formula:
EOQ = √(2 × D × S) / H
Where:
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Find the shortest route using Bellman’s principle.
A small project is composed of 8 activities where time estimates are listed in the table below:
| Activity | Estimated duration (in days) | ||
| Optimistic | Most likely | Pessimistic | |
| A (1, 2) | 28 | 32 | 36 |
| B (1,3) | 22 | 28 | 32 |
| C (2, 6) | 26 | 36 | 46 |
| D (3, 4) | 14 | 16 | 18 |
| E (3, 5) | 32 | 32 | 32 |
| F (3, 6) | 40 | 52 | 74 |
| G (4, 5) | 12 | 16 | 24 |
| H (5, 6) | 16 | 20 | 26 |
The production department for a company requires 3,600 kg of raw material for manufacturing a particular item per year. It has been estimated that the cost of placing an order is ₹ 36 and the cost of carrying inventory is 25 percent of the investment in the inventories. The price of the raw material is 
10 per kg.
Determine the following:
i) Economic order quantity
ii) Optimal order cycle time and
iii) Minimum yearly inventory cost.
An assignment problem can be considered as a special case of transportation problem.
A manager wants to the appoint 4 sales-persons to 4 different cities. If the expected profit when different persons are appointed to different cities is a given in the table below, find the assignment that will maximize the profit:
For a Queuing Model (M/M/1): (GD/∞/∞) with one server, if the service rate µ increases, the expected number of customers in the system decreases.
An oil engine manufacture purchase lubricants at the rate of 50 per unit from a vendor. The requirement of these lubricants is 1800 units per year. The cost of placing an order is 40 and inventory carrying cost per rupee per year is only 20 paise. Find the Economic Order Quantity (EOQ). Also find the cycle time.