Question 3 (28 marks) A company can produce three products, A, B, and C. The products yield a contribution of N$80, N$50 and N$100 respectively. The products use a machine which has 400 hours capacity in the next period. Each unit of the products uses 2, 3 and 1 hour respectively of the machine's capacity. There are only 150 units available in the period of a special component which is used singly in products A and C. 200 kg only of a special alloy is available in the period. Product A uses 2 kg per unit and product C uses 4 kg per unit. There is an agreement with the trade association to produce no more than 50 units of Product B in the period Marks Requirement a) Fomulate a linear programming model in standard format 8 b) Prepare the first simplex tableau that can be used to solve this simplex problem 20 Total marks Question 3 (28 marks) A company can produce three products, A, B, and C. The products yield a contribution of N$80, N$50 and N$100 respectively. The products use a machine which has 400 hours capacity in the next period. Each unit of the products uses 2, 3 and 1 hour respectively of the machine's capacity. There are only 150 units available in the period of a special component which is used singly in products A and C. 200 kg only of a special alloy is available in the period. Product A uses 2 kg per unit and product C uses 4 kg per unit. There is an agreement with the trade association to produce no more than 50 units of Product B in the period Marks Requirement a) Fomulate a linear programming model in standard format 8 b) Prepare the first simplex tableau that can be used to solve this simplex problem 20 Total marks