Operations research UE Past Papers Questions.

Define the following terminologies as used in Operations Research.

1. Variable
2. Break -Even point
3. Data
4. Sensitivity analysis

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A vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed). Determine the average length of the waiting line and the average time a customer must wait.

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By using a vivid example and illustrative diagram, explain the concept of Costs trade offs associated with improved services in an agribusiness firm.

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Distinguish (with vivid examples) between transportation and assignment problem.

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In 2017 the Tanzania Bureau of Standards (TBS) and the Tropical Pesticides Research Institute (TPRI) had to formulate a team of four officials to do emergency inspection on agribusiness products in four regions of Tanzania. The two organizations together wanted to assign four teams of officials to the four regions in a way that willl minimize the total distance travelled by the officials. The supply is always one team of officials, and the demand is for one team of officials at each game. The distances in kilometre for each team of officals to each game location are shown in the table below.

1. Formulate the linear programming model for this problem
2. Solve this assignment problem by using the opportunity cost operations.

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UNSOLVED