Refer to Exercise 12. What will be the minimum cost?

Solution:

According to the solution of exercise 12, we have

The objective function for minimum cost is

Subject to the constrains;

(i)

(ii)

(iii)

and (non-negative constraints)

Now, let’s construct a constrain table for the above Table for (i)

   

Next, solving (i) and (iii), we obtain

and , so the corner point is A

On solving (ii) and (iii), we obtain

and , so the corner point is

Here, is the shaded feasible region whose corner points are and On evaluating the value of , we get

   

It is seen from the table that the minimum value is

So, the required minimum cost is Rs at