Problem #$3$

Imagine you're managing the shipment of goods from two plants $($Seattle and San Diego$)$ to three markets $($New York,

Chicago, and Topeka$).$ The goal is to figure out the best way to ship these goods, considering the costs and meeting

supply and demand requirements.

Constraints Explanation:

$1.$Supply Constraints:

Seattle can only ship up to $350$ units in total.

San Diego can only ship up to $600$ units in total.

$2.$ Demand Constraints:

New York needs at least $325$ units.

Chicago needs at least $300$ units.

Topeka needs at least $275$ units.

$3.$ Non$-$Negativity Constraints:

We can't ship a negative amount of goods.

Shipping Costs

New York Chicago Topeka

Seattle $$2\mathrm{.}5/$unit $$1\mathrm{.}7/$unit $$1\mathrm{.}8/$unit

San Diego $$2\mathrm{.}5/$unit $$1\mathrm{.}8/$unit $$1\mathrm{.}4/$unit

Objective:

Minimize the total shipping cost while satisfying the supply and demand constraints.

This transportation problem involves determining the optimal quantities to ship from each plant to each market, taking

into account the shipping costs and meeting the supply and demand requirements. Use this information to set up and

solve the optimization problem using a solver.