MA83 Problem: Linear Programming – XYZ Inc.

MA83 Problem: Linear Programming – XYZ Inc.

XYZ Inc. produces two products, X and Y. The following data is available regarding X and Y:X YDirect material required 3.5 kgs2.0 kgsDirect labour required .75 hours.25 hoursMachine 1 time required 1.50 hours.50 hoursMachine 2 time required .50 hours.50 hoursContribution margin per unit $8.00$5.00The available capacity is as follows:Direct material 2,400 kgsDirect labour 800 hoursMachine 1 hours 220 hoursMachine 2 hours 244 hoursRequired:1. Assuming XYZ Inc. wishes to maximize total contribution margin, prepare the linear  programming model to meet this objective