Math Problem Solver

factory produces four products A, B, C and D which earn contributions of sh. 20, sh. 25, sh. 12 and sh. 30 per unit respectively. The factory employs 500 workers who work a 40 hour week. The hours required for each product and the material requirements are as set below; products A B C DHours per unit 6 4 2 5Kgs material X per unit 2 8.3 5 9Kgs material Y per unit 10 4 8 2Kgs material Z per unit 1.5 - 2 8 The total availability of materials per week is X 100,000kgsY 65,000kgsZ 220000kgsThe company wishes to maximize contribution. Formulate the linear programming problem in the standard manner products A B C DHours per unit 6 4 2 5Kgs material X per unit 2 8.3 5 9Kgs material Y per unit 10 4 8 2Kgs material Z per unit 1.5 - 2 8 The total availability of materials per week is X 100,000kgsY 65,000kgsZ 220000kgsThe company wishes to maximize contribution. Formulate the linear programming problem in the standard manner