Problem: Widgetco produces widgets in Factory 1 and Factory 2. It costs 20x1/2 to produce x units in Factory 1 and 40x1/3 to produce x units in Factory 2. Each factory can produce up to 70 units. Each unit produced can sell for $10. At most 120 tools can be sold. Draft an NLP whose solution will tell Widgetco how to maximize profit