Cookwell, a manufacturer of large size pressure cookers, produces and sells three models of cookers. While market demands pose no restriction, the capacity to produce is currently constrained by the limited supplies of special grade aluminum limited to 1500kg per week and machine processing time limited to 1200 hours per week. In order to determine the optimal product mix to maximize weekly contribution, a linear programming model as under was formulated.

Maximize Z= 60X₁+ 40X₂+ 80X₃

Subject to

6X₁+ 3X₂+ 5X₃ 1500 (aluminum) 3X₁+ 4X₂+ 5X₃ 1200 (machine hours) X₁, X₂, X₃0

Required:

a)Formulate the above problem as a linear programming model

b)Solve the problem using simplex method

c)Perform post optimal analysis