A manufacturing firm is planning to open a new factory. There are four countries under consideration: USA, Canada, Mexico, and Panama. The table below lists the fixed costs and variable costs for each site. The product is mainly sold in the U.S. for $850 per unit.
Location Fixed Cost Variable cost
USA $400,000 $180
Mexico $100,000 $250
Canada $200,000 $200
Panama $ 60,000 $300
a- Find the range of production that makes each country optimal with lowest total cost.