Consider a grocery store chain with $5$ stores and $3$ distribution centers. The

supply chain managers of the company aim to determine the amount of batches

that should be distributed from centers to the stores. Transportation of each

batch results in a certain amount of greenhouse gas emissions. It is known that

a small van emits $159$gCO. per km$,$ and a large van emits $186$gCO per km$.$

Due to capacity constraints of vehicles, stores requiring more than $7$ batches

are served by a large van. Write a linear programming problem to minimize the

environmental impact of this distribution process by clearly defining the deci$-$

sion variables, sets, and parameters. Consider the following set of data provided.

Demand

Supply

The Distance Matrix $($km$)$