Question 3 Version B (25 marks) Charles Ltd, uses llamas and donkeys to transport alpaca rugs from Huancayo to Lima where they are sold to tourists at RM 25 each. A llama can carry 10 rugs and a donkey can carry 15 rugs, at these altitudes. En route a llama consumes 5 bales of hay and 4 bags of oats, a donkey 6 bales of hay and 5 bags of oats. Charles supply facilities have a total of 40 bales of hay and 38 bags of oats located at various villages along the route. Only 6 men are available to conduct the caravan and each man can handle either 1 donkey or 2 llamas. Given that a bale of hay costs RM 2, a bag of oats RM 4, each man is paid RM 150 for the trip and each rug costs RM 10 in Huancayo. Charles Ltd wants to determine the number of man to handle llamas and donkeys in order to maximize the profit. (a) Formulate a linear programming model for this problem. [6 marks] (6) Find the feasible region by using the graphical method. [5 marks] (c) Find the extreme points of the feasible region and their profit contribution. [5 marks] (d) What is the optimal solution? Explain your answer. [3 marks] (e) If a donkey can carry 20 rugs from Huancayo to Lima, what would be the new optimal solution? [6 marks] O C W