The WorldLight Company produces two light fixtures (products 1 and 2) that require both metal frame parts and electrical components. Management wants to determine how many units of each product
to produce so as to maximize profit. For each unit of product 1, 1 unit of frame parts and 2 units of
electrical components are required. For each unit of product 2, 3 units of frame parts and 2 units of
electrical components are required. The company has 200 units of frame parts and 300 units of
electrical components. Each unit of product 1 gives a profit of €1, and each unit of product 2, up to 60
units, gives a profit of €2. Any excess over 60 units of product 2 brings no profit, so such an excess has
been ruled out.
(a) Formulate a linear programming model for this problem.
(b) Use the graphical method to solve this model. What is the resulting total profit?