The Hardrock Concrete Company has plants in three locations and is currently working on three major construction projects, each located at a different site.
The shipping cost per truckload of concrete, daily plant capacities, and daily project requirements are provided in the table below.
(a) Formulate an initial feasible solution to Hardrock's transportation problem using the northwest corner rule. Then evaluate each unused shipping route by computing all improvement indices. Is this solution optimal? Why?
(b) Is there more than one optimal solution to this problem?Why?

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TO FROM PLANT I PLANT 2 PLANT 3 PROJECT REQUIREMENTS PROJECT A PROJECT B | PROJECT C | PLANT CAPACITIES S10 12 9 $4 $11 70 50 30 40 50 150