A WYNDOR Glass Co produces high quality glass products, including windows and glass doors. Company has three production facilities. Alminium frames and hardware are made in Factory 1, wood frames are made in Factory 2, and Factory 3 produces the glass and assembles the products. Because of declining earnings, top management has decided to renew the company's product line and launched two products:Product 1: A glass door with aluminium framingProduct 2: A wood framed windowProduct 1 requires some of the production capacity in Factory 1 and 3, but none in Factory 2. Product 1 requires 1 hour production time in Factory 1 and 3 hours production time in Factory 3. Product 2 needs only Factory 2 and 3. Product 2 requires 2 hours production time in Factory 2 and 2 hours production time in Factory 3.Available production time in Factory 1, 2 and 3 is 4, 12 and 18 hours respectively.Profit of product 1 is calculated as $3000 aand Product 2 as $5000The company wants to maximize its profits.1. Formulate the problem as a linear programming model2. Define the desicion variables.3. Write the objective function