Problem 4. Widgetco produces widgets at plants 1 and 2. It costs 125x1/2 dollars to produce x units at plant 1 and 235x dollars to 1/3 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. Costs of producing x units at each plant are of form axb, where Plant 1 Plant 2 a b 125 1/2 Unit selling prices Plant 1 Plant 2 Number produced Capacity Cost Revenue Profit Plant 1 Plant 2 Total Max sales