I decide to extend my investment portfolio by spending no more than $5000 on shares in companies A and B. The cost of each share is $5 and $10, respectively, and my financial advisor estimates that I can expect to make a profit of 80 cents and 65 cents on each share.
Due to environmental concerns, I decide to buy at least twice as many shares in company B as in company A.
(a) Formulate this as a linear programming problem.
(b) Sketch the feasible region.
(c) Write down the coordinates of the corners of the feasible region.
(d) How many of each type of share should I buy? State the corresponding profit.