Question 2: Problem solving (13 Marks) A large-scale tire distribution company wants to determine the best forecast for its month 7 demand. The company's data on historical monthly demand for the past six months is presented in the following table: 1 7 Month Demand (units) 5,000 2 6,000 3 6,500 4 8,000 5 9,500 6 11,500 1. Compute the demand forecast for month 7 using the simple moving average of order 2, then of order 3. Compute the whole series. (4. Marks) 2. Compute the demand forecast for month 7 using the weighted moving average of order 2, with weights from the most recent month as 10 and 5, then of order 3 with weights from the most recent month as 6,3, and 1. Compute the whole series. (4. Marks) 3. Compute the demand forecast for month 7 using the exponential smoothing, assuming that F = 4,500 units, with a=0.2 then with a=0.3. (5 Marks) Question 3: Problem solving (10 Marks) Part I: Consider the following Linear Program: Max Z = 6x +10.x Subject to: 2.x +3.x 5 36 4.3 +2.x, 32 1. Represent graphically the feasible region (solution space). (4 Marks) 2. Find the Optimal Solution using the graphical method. (4 Marks) Part II: Answer the following questions: 1. Define the special issue of unboundedness, in linear programming problems. (1 Mark) 2. Define the special issue of redundancy, in linear programming problems. (1 Mark)