Solution:

According to the solution of exercise 11, we have Maximize subject to the constraints

(i)

(ii)

(iii)

(iv)

Construct a constrain table for the above

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

Therefore, the corner point is .

Solving (ii) and (iii) we obtain,

and the corner point is

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

(not included in the feasible region)

Here, is the feasible region.

As a result, the corner points are and .

Now evaluate the value of

So, the maximum profit is Rs which is not possible for number of items in fraction. Thus, the maximum profit for the manufacture is Rs 480 at i.e. Type and Type .