An organization is planning to diversify its business with a maximum outlay of $500,000. It has identified three different locations to install plants. The organization can invest in one or more of these plants subject to the availability of the fund. The different possible alternatives and their investment and present worth of returns during the useful life of each of these plants are summarized in the following table (in 10^5 of $). Find the optimal allocation of the capital to different plants which will maximize the corresponding sum of the present worth of returns