## Obtain the steady equation for the model M/M/1 : FIFO and derive the formula for

1. Average number of units in the queue.

2. Average waiting time of an arrival in the queue.

## The annual demand for an item is 3200 units. The unit cost is Rs. 6 and inventory carrying charges 25% per annum. If the cost of one procurement is Rs 150. Determine:

1. Economic Order quantity.

2. No. of oreders per year.

3. Time between two consecutive orders and

4. Optimal cost.

## Solve the game whose pay-off matrix is as follow:

Player B

Player A

## A 'XYZ' Company have two bottling plants, one located at 'G' and the another at 'J'. Each plant produce three drinks 'A', 'B', and 'C'. The number of bottles produced per day are as follows :

 Drink Plant G Plant J Drink A 1300 1300 Drink B 3000 1000 Drink C 2000 5000

The market survey indicated that during the month of April, There will be a demand of 20,000 bottles of drink 'A', 40,000 bottles of drink 'B' and 44,000 bottles of drink 'C'. The operating costs per day of plants at 'G' and 'J' are 600 and 400 monetary units for how many days each plants be run in April so as to minimize the production cost. While so as to minimize the production cost. While still meeting the market demand? Solve by two-phase Simplex method.