Assignment

A company needs to make a decision to choose the shipping transportation routes. The company has $3$ warehouses $($Riyadh$,$ Jeddah, and Dammam$)$ and ships to $4$ provinces $($Riyadh$,$ Eastern, Abha, and Medina$).$ The following information was given by the company:

Riyadh can store up to $10,000$ units, while Jeddah and Dammam can store up to $12,000$ units.

Riyadh province should receive at least $6,000$ units, Eastern province should receive at least $10,000$ units, Abha and Medina provinces should receive at least $5,000$ units.

The cost of shipping each unit is given in the below table:

$\backslash$table$[[,$Province$],[$Warehouse City,Riyadh,Eastern,Abha,Medina$],[$Riyadh$,$SAR,SAR,SAR,SAR$],[,2\mathrm{.}50,3\mathrm{.}50,5\mathrm{.}20,3\mathrm{.}50],[$Jeddah$,$SAR,SAR,SAR,SAR$],[,4\mathrm{.}00,5\mathrm{.}30,2\mathrm{.}50,2\mathrm{.}30],[$Dammam$,$SAR,SAR,SAR,SAR$],[,3\mathrm{.}00,2\mathrm{.}50,4\mathrm{.}70,5\mathrm{.}30]]$

Solve the problem to minimize the company's shipping costs by determining how many units should be shipped from each warehouse to each province. Second Semester $2023-2024$

Assignment

A company needs to make a decision to choose the shipping transportation routes. The company has $3$ warehouses $($Riyadh$,$ Jeddah, and Dammam$)$ and ships to $4$ provinces $($Riyadh$,$ Eastern, Abha, and Medina$).$ The following information was given by the company:

Riyadh can store up to $10,000$ units, while Jeddah and Dammam can store up to $12,000$ units.

Riyadh province should receive at least $6,000$ units, Eastern province should receive at least $10,000$ units, Abha and Medina provinces should receive at least $5,000$ units.

The cost of shipping each unit is given in the below table:

$\backslash$table$[[,$Province$],[$Warehouse City,Riyadh,Eastern,Abha,Medina$],[$Riyadh$,$SAR,SAR,SAR,SAR$],[,2\mathrm{.}50,3\mathrm{.}50,5\mathrm{.}20,3\mathrm{.}50],[$Jeddah$,$SAR,SAR,SAR,SAR$],[,4\mathrm{.}00,5\mathrm{.}30,2\mathrm{.}50,2\mathrm{.}30],[$Dammam$,$SAR,SAR,SAR,SAR$],[,3\mathrm{.}00,2\mathrm{.}50,4\mathrm{.}70,5\mathrm{.}30]]$

Solve the problem to minimize the company's shipping costs by determining how many units should be shipped from each warehouse to each province.