Due Date: Tuesday 12 October 2021 You are the Education Director of responsible for learner welfare at the Ministry of Education, Windhoek. The donor community has donated instant porridge for needy learners. The porridge is to be distributed to junior primary school kids in four regions in your tactical area of responsibility (shown at the table below). The monthly need for the regions is 50 tonnes, 100 tonnes, 150 tonnes, and 200 tonnes respectively. The instant porridge is supplied by three companies located in different parts of Namibia. The table below shows the cost of transporting each 1kg of the porridge from suppliers to the regions. Ministry of Education is responsible for transport costs from suppliers to the regional education offices. Omusati Ohangwena Omaheke Oshana Supply (tonnes) Arubi $2 $4 $4 $1 150 Barudi $10 $3 $7 200 Charubi $6 $7 $20 $5 150 Demand 50 100 150 200 500 (tonnes) $7 Tasks: Showing step-by-step calculations, and applying (1) the Northwest Corner Method (2) the Least Cost Method, and (3) the Vogel's Approximation Method to evaluate the above transportation decision problem: a. Decide the quantity that should be shipped from each of the suppliers to each region in order to minimize transportation costs (shipment schedule). (20 marks) b. For each of the three methods, indicate the minimum budget required to transport the porridge to the four regions every month. (20 marks) C. Compare the three methods and recommend the method giving the lowest budget