Quantitative Analysis for decision making course assignment.

1- Graphical Solutions in Linear Programming have limited number of decision variables. What is the maximum number of decision variables used in graphical solutions? What is the solution that the graphical method presents to the corporate managers?

2- the following poem is a linear programming problem. See if you can write the linear programming model to determine "what their new wealth might be" and determine the optimal solution. Serendipity By Anonymous The three princes of Serendip Went on a little trip. They could not carry too much weight; More than 300 pounds made them hesitate. They planned to the ounce. When they returned to Ceylon They discovered that their supplies were just about gone When, what to their joy, Prince William found A pile of coconuts on the ground. "Each will bring 60 rupees," said Prince Richard with a grin As he almost tripped over a lion skin. "Look out!" cried Prince Robert with glee As he spied more lion skins under a tree. 

Each skin weighed fifteen pounds and each coconut, five, But they carried them all and made it alive. The boat back to the island was very small 15 cubic feet capacity - that was all. Each lion skin took up one cubic foot While eight coconuts the same space took. While everything was stowed they headed to the sea And on the way calculated what their new wealth might be. "Eureka!" cried Prince Robert, "Our wealth is so great That there's no other way we could return in this state. And any other skins or nut which we might have brought Would now have us poorer.