The Newton Company has two divisions: Hamilton and Jasper. The Hamilton Division has a total cost of $30 per unit for its product, of which $20 is fixed. The Hamilton Division is at full capacity. The Jasper Division would like to purchase 20,000 units from Hamilton but thinks that the $35 price Hamilton typically charges outside customers is too high.
Calculate the price at which the Hamilton Division should sell the units to the Jasper Division such that Hamilton will not incur additional losses.