All by hand,,,

Define Variables

Define Objective Function

Define Objective constraints

You want to minimize your shipping costs, while ensuring that the demands are met subject to capacity limits

of the respective ice$-$cream factories.

Define variables.

Define the objective function.

Define the respective constraints.Scenario: $2$ You and your classmate from Quant $2020$ have decided to open a zip ice$-$cream service. Factories are

located in Black Forest, Cimarron Hills, Knob Hills and Security$-$Widefield. Your retail outlet shops are located in

Fountain, Garden of the Gods, and Briargate. Your business is charged by pint mile at a rate of $$\mathrm{.}02$ per mile per

pint.

Locate the distances between the four factories and retail shops $($use google maps and just take a central location$).$

Compute the cost for each shipping route per pint.

There are certain production constraints:

Factory

Cimarron Hills

Knob Hills

Black Forest

Security$-$Widefield

Capacity $($pints$)$

$500$

$700$

$1000$

$400$

There are certain demands which need to be met:

Shop

Fountain

Garden of the Gods

Garden of the Gods

$1200$

Briargate

Demand $($pints$)$

$600$

$600$