Transportation Problem for CexContrans Logistics

CeyCanTrans Logistics is a company specializing in eco$-$friendly transportation of goods. They have several distribution centers and warehouses across the country. The company aims to minimize the environmental impact and transportation costs while meeting the demand at each distribution center and respecting the supply constraints at each warehouse. Supply Points $($Warehouses$)$:

Warchouse A can supply up to $200$ tons of organic products $)=(200.$

Warchouse $B$ can supply up to $150$ tons of recycled materials $).$

Warchouse $C$ can supply up to $180$ tons of sustainable goods $)=(180.$

Demand Points $($Distribution Centern$)$:

Distribution Center $x$ requires $120$ tons of organic products $)=(120.$

Distribution Center $Y$ requires $100$ tons of recycled materials $)=(100.$

Distribution Center $Z$ requires $150$ tons of sustainable goods $)=(150.$

Shipping Costs $($in dollars per ton$)$: The transportation costs from each warehouse to each distribution center are as follows:

$\backslash$table$[[,x,Y,$Z

Example: $1.$ Compare the total transportation costs obtained by each method.

$2.$ Analyze the efficiency and computational effort required by each method.

$3.$ Discuss any observations or insights gained from solving the problem using the three different methods, particulary considering the environmental impact.

$!!!!!$ The question needs to be solved separately by all methods. $($ such as north$-$west method, big m method, minimum cost method, vogel's method, simplex method$).$ All of them need to be solved in a tabular and detailed process.