The supply at Hanoi and Ho Chi Minh City is $600$ and $400$ container units

respectively. The demand of the retail outlets at New York, San Francisco.

Chicago, and Washington is $200,150,350$ and $300$ container units respectively.

$(1)$ Formulate the above problem as LPP stating the decision variables.

objective function and the constraints complete with explanatory statements.

$($ii$)$ Get a basic feasible solution using Vogel's Approximation Method and

state the flow of furniture container units.

$($iii$)$ What is the total cost of transportation according to VAM.