Barite's Boards has two factories in Denver and Malibu that were originally dedicated solely to skateboard production. As it turns out though, each of factories could be used to form both the surfboards and skateboards. Of course, each factory has a somewhat different mix of machines that it uses to produce these goods, so in the Denver factory, a worker can produce 20 surfboards per day or 30 skateboards per day. In the Malibu factory, a worker can produce 40 surfboards per day or 80 skateboards per day. The Denver factory has 10 workers while the Malibu factory has 20 workers.
1. Which factory should he use first and why if Bertie decides to start producing surfboards, Explain well.
2. Illustrate the overall production possibilities frontier for Barite's Boards.
3. If Bertie wanted to form the 400 surfboards, determine how many workers should he assign to surfboard production? Explain well.