Furniture company owns two production plants-warehouses

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A furniture company owns two production plants and two warehouses. The sites are connected by the road network shown below. Bold arrows show possible connections of production plant P1 with warehouse W1. Numbers next to the arrows are the lengths of the roads in some unspecified units.

(a) Apply dynamic programming to find the shortest path from P1 to W1. Explain your calculations.

(b) Illustrate how a linear programming technique can be used to find the shortest path from P1 to W1.

(c) Assume now that the cost of delivering a piece of furniture from a production plant to a warehouse is proportional to the length of the corresponding shortest path. The company wants to optimise the total cost of transporting goods from the plants to the warehouses. Formulate an optimisation model to optimise the total cost. Explain which extra data you would need to solve the problem.

Reference no: EM132287894

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