Problem
Mr. Asuncion is going to receive his retirement pay. He plans to invest at most 100,000.00 in two lending corporations. Lending Corporation A accepts investment not less than 50,000.00 but not more than 70,000.00 only as additional lending capital and offers ordinary 3% interest monthly for the investment. For similar reason, Lending Corporation B offers 2% monthly for an investment 20,000.00 and 40,000.00, inclusive. How much should Mr. Asuncion invest in each lending corporation in order to maximize his monthly interest profit from his investment? What is the possible maximum profit?