operation research

vous Exercise 2: A certain LP model involving two activities has the feasible region shown below. The objective is to maximize the total profit from the two activities. The unit profit for activity 1 is $1,000 and the unit profit for activity 2 is $2,000. 8 c(0,63 6 E (5.5) Level of Activity 2 D(6,4) Feasible region 2 B(8,0) 8 2 A (0,0) Level of Activity 1 a) Calculate the total profit for each CPF solution. Use this information to find an optimal solution. b) For each CPF solution, identify its adjacent CPF solutions. CPF Total Profit adjacent CPF solutions Z at adjacent CPF Is it optimal? 6. 8 B(8,0) 0 2 4 A (0,0) Level of Activity a) Calculate the total profit for each CPF solution. Use this information to find an optimal solution. b) For each CPF solution, identify its adjacent CPF solutions, CPF Total Profit adjacent CPF solutions Z at adjacent CPF Is it optimal? c) Use the solution concepts of the simplex method to identify the sequence of CPF solutions that would be examined by the simplex method to reach an optimal solution if we start with the initial BF solution A? d) Identify the sequence of CPF solutions if we start with the initial BF solution B? 1