You are given the data below. This is an operation research problem. Your company need to ship products by truck, which the capacity of a single truck is 44000 tons.Your business is required to fulfill all customer demands, otherwise, a fine equivalent to five times the commercial value of the missing stock will be imposed. However, customers have the option to purchase additional stock at commercial prices as long as they are within their capacity limits. Any excess stock beyond their capacity will be considered wastage. Your responsibility is to devise a strategy that ensures all orders are fulfilled while maximizing profitability. Now, your job is to use linear integer program to(Feel free to use excel solver and network flow modeling and algorithms to explain and illustrate your answer): (a) maximizes total profit without necessarily meeting demand (b) maximizes total profit while meeting demand. You are given the data below. This is an operation research problem. Your company need to ship products by truck, which the capacity of a single truck is 44000 tons.Your business is required to fulfill all customer demands, otherwise, a fine equivalent to five times the commercial value of the missing stock will be imposed. However, customers have the option to purchase additional stock at commercial prices as long as they are within their capacity limits. Any excess stock beyond their capacity will be considered wastage. Your responsibility is to devise a strategy that ensures all orders are fulfilled while maximizing profitability. Now, your job is to use linear integer program to(Feel free to use excel solver and network flow modeling and algorithms to explain and illustrate your answer): (a) maximizes total profit without necessarily meeting demand (b) maximizes total profit while meeting demand