Performance Lawn Equipment (PLE) produces mowers and tractors in several manufacturing facilities. Because of popularity of their products, PLE have always sold their production and usually the number of mowers sold was at least twice the number of tractors sold. One of the PLE manufacturing facilities produces engine housing from sheet metal for both mowers and tractors. Production of each product consists of five consecutive steps, which workers do in ve departments: Stamping, Drilling, Assembly, Painting, and Packaging to ship products to the final assembly plant. The production rates in hours per unit and the number of hours available in each department are given