Three Plants P1, P2, and P3 of a Gas Corporation

question 56

Essay

Three plants P1, P2, and P3 of a gas corporation supply gasoline to three of their distributors in the city located at A, B, and C locations. The plants' daily capacities are 4500, 3000, and 5000, gallons respectively, while the distributors' daily requirements are 5500, 2500, and 4200 gallons. The per-gallon transportation costs (in $) are provided in the table below:

Because of a failure of expected supply earlier, the distributors this time have decided to charge a penalty of $0.45, $0.55, and $0.5 per gallon, respectively for the locations A, B, and C to avoid any further delays.
Find an alternative optimal solution for this transportation problem? Hint: Use the procedure described in section 8.7.

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Definitions:

Advance Notice

A warning or notification given in advance to prepare for or prevent something from happening.

Stockpiled Resources

Accumulated materials or assets kept in reserve for future use or during emergencies.

Sleep Deprivation

Sleep deprivation refers to the condition of not having enough sleep, which can affect both physical and mental health.

Systematic Desensitization

A therapeutic technique used to reduce phobia or anxiety through gradual exposure to the feared object or situation combined with relaxation exercises.