V5 11: Linear Programming: Addition of a constraint

Linear Programming: Addition of a constraint

[amirkamalian]

Professor Wen, I'm just here to say thank you for your great style of teaching. We need more people like you and less people like my professors :D

[mulatakahsay]

5. 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, X3≥0
Required:
a) Formulate the above problem as a linear programing model
b) Solve the problem using simplex method.
c) Perform post optimality analysis

[redpiggybank]

Professor Wen, the lessons are great but could you make the video sound louder? Thanks