Question: a) The assignment, transportation and linear programming techniques are all resource allocation models, remarked a classmate of yours in a recent debate on OR techniques.

a) "The assignment, transportation and linear

a) "The assignment, transportation and linear programming techniques are all resource allocation models," remarked a classmate of yours in a recent debate on OR techniques. Critique this statement. In particular, elaborate on the relationships between these three techniques using suitable examples and diagrams. (10 marks) b) Kenya Army wants to assign new recruits to three training barracks namely Nairobi, Lanet and Nanyuki. The capacity for each of the barracks is 200, 300 and 400 for Nairobi, Lanet and Nanyuki respectively. The recruits are waiting at three recruitment centres namely A, B and C. The number of recruits in A, B and Care 200, 350 and 350 respectively. The Army wants to get the recruits to the training barracks with the minimum number of recruit-days travel. The table below provides the number of days a recruit from each of the recruitment centres would take to get to the training barracks. BARACKS Nairobi Lanet Nanyuki Recruitment centres A A 2 6 N B 7 4 2 C 19 6 5 Required Determine how the recruits should be transported from the centres to the barracks. (15Marks)

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