Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant, which produces 5000 tons per month, and the Lakeview plant, which can produce 7000 tons per month. Sinclair sells its polyethylene to three different GM auto plants: Grand Rapids (demand = 3000 tons per month), Blue Ridge (demand = 5000 tons per month), and Sunset (demand = 4000 tons per month). The costs of shipping between the respective plants is shown in the table below: 
-What is the optimal shipping plan? What are the total costs in that case?
Definitions:
Liquid Dosage
A form of medication delivery that involves consuming the medicine in liquid form for ease of swallowing and absorption.
Cutting Device
An instrument or tool designed for cutting materials or objects, differing in form based on its specific use.
Buccal Medication
Medication administered between the gums and the cheek, allowing for absorption through the oral mucosa directly into the bloodstream.
Cheek Membranes
The mucous membranes lining the inside of the mouth on either side, known for their role in protecting oral tissues and facilitating sensation and absorption.
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