Solve the above problem as a transportation problem to minimize the transportation cost. (10) Q5. (a) A transportation equipment manufacture rivets at an approximately constant rate of 2500 kgs. per year. The cost of rivets is Rs. 40 per kg. The company's purchase manager estimates that it cost Rs. 200 to place an order, and the carrying cost of inventory is 10 percent per year, What quantities should be ordered? What is the optimum number of orders per year. (5) (b). Write the Dual of the following LPP Minimize 2 - X, + X: + X; Subject to X; - 3 X: + 4X; -5 X1 - 2 X 3 2X; - X, 4 X1, X3, X; > 0