A person wins 10 million dollars in a lottery and is advised to invest it in two types of shares, A and B. Type A has more risk but produces a return of 10%. Type B are safer, but produce only 7% per year. After several deliberations, he decides to invest a maximum of 6 million in the purchase of shares A and at least 2 million in the purchase of shares B. In addition, he decides that the investment in A is at least equal to the investment in b? How should you invest the 10 million dollars so that the annual benefit is maximum?

Instructions: For credit show all of your work. Clearly explain your answer. 40 points Use either WINPLOT or GRAPH to graph and shade the feasible regions in each exercise. Also use insert table in WORD to display the different x,y,z values.