Mathematics · Linear Programming and Optimization

A company plans production for four products (A, B, C, D) with full capacity operations as follows: - Selling Price per unit ():A=160,B=214,C=100,D=140 −RawMaterialCostperunit(): A=24, B=56, C=22, D=40 - Direct Labour Cost per unit ():A=66,B=88,C=33,D=22 −VariableOverheadCostperunit(): A=24, B=18, C=24, D=18 - Direct Labour Hours per unit: A=6, B=8, C=3, D=2 - Planned Output Maximum Demand: A=300, B=125, C=240, D=400 If only 2,160 direct labour hours are available (a limiting factor) instead of the usual 4,320 hours, which products should be produced to maximize profit?