A company manufactures two products: large fans and medium fans. Each large fan requires 3 hours of wiring and 2 hours of drilling. Each medium fan requires 2 hours of wiring and 1 hour of drilling. There are 960 hours of wiring time available and 560 hours of drilling time available. Each large fan yields a profit of $15. Each medium fan yields a profit of $10. The company wants to manufacture 320 or fewer medium fans. (a) Formulate a linear programming model for this problem by defining the decision variables, objective function and all the constraints. What do they represent?
(b) Find the optimal solution of this model by hand using the Corner Points graphical method.