LightLIne, Inc., manufactures two types of light fixture: Brightstar and Lightning. Both fixtures require metal frame parts and electrical components. The shop manager estimates that there will be 200 units of frame parts and 300 units of electrical components available for production next week. Each Brightstar requires one unit of frame parts and two units of electrical components. Each Lightning requires three units of frame parts and two units of electrical components. The company can sell as many units as it produces at the prevailing market prices of $120 for each Brightstar and $90 for each Lightning. Materials and labor costs total $40 for each Brightstar and $30 for each Lightning.
Write the linear programming formulation to help Lightline determine how many units of each product the company should produce to maximize total dollar profit.