A company named FoodEX produces 200 kg of a feed composition consisting of two ingredients y1 and y2. The

ingredient y1 costs Rs. 6 per kg and y2 costs Rs. 16 per kg. Not more than 80 kg of y1 can be used and atleast 60

kg of y2 must be used. The company wants to find how much of each ingredient should be used in the mix if it

wants to minimize cost. You have to

a) Develop the LP Model for this problem and find it's Dual.

b) Find the solution of the Dual problem using Simplex Method.

c) Perform the Sensitivity analysis of Basic and Non Basic Variables. Also find the shadow price of the

resources.