I need to find the right expression to find the solution to the algorithm, being described in a paper titled "A simple Algorithm for Optimal Portfolio Selection with fixed transaction costs" by Nitin R Patel and Marti G Subrahmanyam.

Its hard to describe the problem without one reading the paper. IF you could google the title of the paper you would get it.

My issue is I am not able to understand how to Solve the objective function for the algorithm.....

please could someone tell me how they got those values in their example..!!??