Simplex Method (Word Problem)

Question

 

Suppose that a furniture manufacturer makes chairs, sofas and tables. The amounts of labour of various types as well as the relative availability of each type are summarized by the following chart:

                   chair      sofa      table    daily labor available (hrs.)

carpentry     6             3            8                 768

finishing       1              1            2                144

upholstery   2             5                               216

 

The profit per chair is $80, per sofa is $70 and per tableis $120. How many pieces of each type of furniture should be manufactured each day to maximize profit? Use the Simplex Method.

Answer 1

The above tables derive the Simplex solution progressively. The maximum profit is obtained with:

98 chairs, 21 tables, 4 sofas, profit=$10,640.