Write the proper model of this problem, analyse the information given, perform all the calculations with graph. Everything should be done in detail with steps and formulas written. It's my final assignment please donot make any mistake. I want a detailed and correct solution with graphical method (defined properly with all the values) and working.

The Portfolio selection problem : noders) The Feelingiz Mutual Fund has $500,000 available for investment. The board of director has decided to restrict investment to the four companies indicated in following table, which also shows the current annual yields (returns). The chairperson of board owns some personal shares of Old Conservative and insists that at least $ 100,000 be invested there. The other members agree, with the stipulation that regardless of the amount placed in Old Conservative, at least an equal amount be invested in the combination of Old Zinc and Old Great Aunt. Finally, it is decided that no more than 200,000 should be invested in Old Timer. 1 Company Old Conservative Life Insurance Old Zinc Tobacco, Inc. Old Great Aunt Old Timer Yield, % 4 5 8 12 If it is assumed that future yield (return) not differ from current yield. Formulate a Linear Program (LP) for above information. And solve LP by simplex algorithm