Decision Support Puzzles for Applied Mathematicians
February 2013 - Chandelier Balancing
Constructing a chandelier can be a tricky undertaking because the slightest imperfection will unbalance the chandelier and cause it to be skewed.
Figure 1 shows a chandelier constructed from arms, wires, and triangles that hold weights. In order to perfectly balance the chandelier, weights must be placed into the triangles. There are 9 weights as follows: 1,2,3,4,5,6,7,8,9kg. Each triangle can only hold one weight. Assume the weight of the arms, wires, and triangles are negligible.
Question: Where should the weights be placed in order to perfectly balance the chandelier?
Send your answer to firstname.lastname@example.org by April 15th, 2013. The winner, chosen randomly from correct answers, will receive an “Analytics - Driving Better Business Decisions” T-shirt.