Write the LP formulation for this transportation problem. 
Definitions:
Availability
The state of being able to be used or obtained, typically referring to goods, services, or resources.
Price Ceiling
A government-imposed limit on how high a price can be charged on a product or service, aimed at preventing prices from becoming excessively high.
Quantity Demanded
The amount of a product that consumers are willing and able to purchase at a given price over a specified period of time.
Physical Examination
A comprehensive assessment of a person's physical condition, usually conducted by a healthcare professional.
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