Widgetco produces widgets at plants 1 and 2. It costs 20x 1/2 dollars to produce x units at plant 1 and 40x 1/3 dollars to produce x units at plant 2. Each plant can produce up to 70 units. Each unit...

Widgetco produces widgets at plants 1 and 2. It costs 20x^1/2
dollars to produce x units at plant 1 and 40x^1/3
dollars to produce x units at plant 2. Each plant can produce up to 70 units. Each unit produced can be sold for $10. At most 120 widgets can be sold. Determine how Widgetco can maximize its profit.