Use the simplex method to solve the following linear programming problems
Mr. Moody has decided to invest at most N$100 000 in securities in the form of corporate stocks. He has classified his options into three groups of stocks: blue-chip stocks that he assumes will yield a 10% return on his investment within a year, growth stocks that he assumes will yield a 15% return on his investment within a year, and speculative stocks that he assumes will yield 20% return on his investment within a year. Because of the relative risks involved in his investment, he has further decided that no more than 30% of his investment should be in growth and speculative stocks and at least 50% of his investment should be in blue chip and speculative stocks.
Determine how much Mr. Moody should invest in each class of stocks in the hope of maximizing the return on his investments.