Decision Support Puzzles for Applied Mathematicians
April 2011 - Choose Your Crew
Name Fishing Sailing Navigation Salary
Amy 3 5 1 $46,000
Bill 1 2 5 $43,000
Carl 3 4 2 $47,000
Dan 4 3 1 $36,000
Eva 4 2 2 $43,000
Fred 1 3 4 $55,000
Greg 3 1 5 $68,000
Henry 5 4 2 $64,000
Ida 3 3 3 $60,000
Successfully navigating the waters during sea voyages is a challenging task. A captain’s most important decision is selecting the right crew for the voyage. A mix of different skill sets are required to sail the ship efficiently, navigate to the destination, and fish for food along the way.
Table 1 shows a list of crew members that are available for you to hire for the voyage. Each crew member demands a salary for the voyage and has different skill levels of Fishing, Sailing, and Navigation.
In order for your journey to be successful, you must have a cumulative skill of 15 or more in each of the three skill categories from all of your chosen crew members. You may choose as many crew members as you like.
Question: What is the minimum achievable cost for the voyage?
Send your answer to firstname.lastname@example.org by June 15th, 2011. The winner, chosen randomly from correct answers, will receive an “Analytics - Driving Better Business Decisions” T-shirt. Congratulations to Dimitrios Arhontoulis for correctly solving December’s Miniopoly PuzzlOR. Past questions can be found at puzzlor.com.