PuzzlOR

Toy builder

John Toczek
puzzlor@gmail.com

Figure 1: What is the optimal mix of toy cars, planes and helicopters?

Figure 1: What is the optimal mix of toy cars, planes and helicopters?

As a toy builder you enjoy making toys for both fun and profit. For your latest production batch, you need to decide how many of each toy to make. The three types of toys you make are airplanes, helicopters and cars as shown in Figure 1.

To build an airplane you need three blue blocks, two green rods and one red wheel. To build a helicopter you need two blue blocks, four green rods and one red wheel. To build a car you need one blue block, two green rods and four red wheels.

Your profit margins for each toy are as follows: airplane $7; helicopter $8; car $5.

The parts available to you are as follows: 25 blue blocks, 29 green rods and 30 red wheels. It is OK to have leftover parts.

Question:

What is the maximum profit you can achieve?

Send your answer to puzzlor@gmail.com by April 15. The winner, chosen randomly from correct answers, will receive a $25 Amazon Gift Card. Past questions and answers can be found at puzzlor.com.

John Toczek is the assistant vice president of predictive modeling at Chubb in the Decision Analytics and Predictive Modeling department. He earned his BSc. in chemical engineering at Drexel University (1996) and his MSc. in operations research from Virginia Commonwealth University (2005).