OPERATIONS RESEARCH

ASSIGNMENT – I

1. Explain nature and scope of operations research with limitations.

2. Solve the linear programming problem graphically

ASSIGNMENT – II

6. Solve the linear goal programming problem graphically:Find x1 2 & x so as to

The goal has been listed in the order of priority.
7. A company has 6 sales men and 3 market areas A,B and C. It is desired to determine the number of sales men to allocate to each market area to maximize profit. The following table given the profits from each market area as a function of the number of salesmen allocated: 

Use dynamic programming technique to solve the above problem.

8. The demand for an item in a company is 18000 units per year, and the company can produce the items at the rate of 3,000 per month.. The cost of one set-up is Rs. 500.00 and the holding cost of 1 unit per month is 15 paise. The shortage cost of one unit is Rs.20.00 per month. Determine (i) optimum production batch quantity and the number of strategies, (ii) optimum cycle time and production time, (iii) maximum inventory level in the cycle , and (iv) Total associated cost per year if
the cost of the item is Rs. 20 per unit.

9. Solve (3x3) game by the simplex method of LP whose pay off matrix is

10. Explain the generation of Random Numbers with suitable examples