Question 5 [17] Consider the following LP model: Max P ROF IT = 18A + 10B + 12C subject to 4A + 8B + 4C 56 4A + 3B + 2C 40 and A, B, C 0. When LINDO is used to solve this model, the following final simplex table is generated:

Answer the following questions using only the final simplex table. (This means that you may not use the LINDO solution and the ranging analysis.) Show and explain all your calculations. 5.1 Write down the optimal production plan and associated profit. (2) 5.2 What is the reduced cost of each variable? (2) 5.3 What is the dual price of each constraint? (2) 5.4 Which constraints have slack? (2) 5.5 Calculate the range within which the objective coefficient of A may vary without changing the optimal basis. (5) 5.6 Calculate the range within which CONSTRAINT 1 right-hand side may vary without changing the optimal basis. (4)

TTHE TABLEAU