Widgetco produces widgets at plants 1 and 2. It costs 125x 1/2 dollars to produce x units at plant 1 and 235x 1/3 dollars to produce x units at plant 2. Each plant can produce up to 500 units. Each...

Widgetco produces widgets at plants 1 and 2. It costs 125x^1/2
dollars to produce x units at plant 1 and 235x^1/3
dollars to produce x units at plant 2. Each plant can produce up to 500 units. Each unit produced can be sold for $10. At most 800 widgets can be sold. Determine how Widgetco can maximize its profit.