Question: Question 1 Consider the following distribution problem from 4 plants to 4 customers for the High- Quality Chemicals Company Limited. Unit shipping costs to customers

Question 1 Consider the following distribution

Question 1 Consider the following distribution problem from 4 plants to 4 customers for the High- Quality Chemicals Company Limited. Unit shipping costs to customers ($) Plants P1 Sla P2 Capacity 200 250 350 200 P3 P4 Demand 100 200 300 Apply the least-cost-first rule to determine a starting solution. Then, find the minimum shipping schedule and the corresponding total cost. (25 marks) (b) Suppose that there is an increase in the unit shipping cost from P3 to C3 by $y. What is the smallest value of y that the minimum shipping schedule obtained in (a) starts to change? Find also an alternative minimum shipping schedule and the corresponding total cost in this case. (25 marks)

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