ABC Manufacturing Company produces three products: Tables, Chairs, and Desks. These products require processing through three departments: Cutting, Assembly, and Painting. These three departments have limited working time to 300 hours, 450 hours, and 200 hours per week respectively. Each table requi

ABC Manufacturing Company produces three products: Tables, Chairs, and Desks. These products require processing through three departments: Cutting, Assembly, and Painting. These three departments have limited working time to 300 hours, 450 hours, and 200 hours per week respectively. Each table requires 4 hours for cutting, 5 hours for assembly, and 1 hour for painting and contributes Rs. 1000 to profit. Each chair requires 3 hours for cutting, 4 hours for assembly, and 1 hour for painting and contributes Rs. 800 to profit. Each desk requires 2 hours for cutting, 3 hours for assembly, and 2 hours for painting and contributes Rs. 1200 to profit. To maintain balance, the total production of all three products must not exceed 150 units per week. Formulate objective (profit) function and constraints for this LPP. [5]