A metal shop fabricates windows and doors to construction companies. To fabricate these, the shop uses iron, glass, and labor. The company has 80 units of standard size iron, glass, and labor. The company has 80 units of standard size iron, 60 square feet of glass, and unlimited hours of labor but the shop has to use 50 hours of labor. The following table shows the requirement of these resources to produce one window and one door.

The metal shop wants to determine the number of windows and doors it needs to fabricate to minimize its cost. Assume that fractional values of windows and doors are acceptable.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.

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Product Iron Glass Labor Cost Window (x1) 3 7 3 € 500 Doors (x2) 4 2 4 € 400