$3)$ Consider Korku fruit juice manufacturing company that produces only four types of fruit juices A$,$ B$,$ C and Mixed. All the fruit juices require Water, Sugar and Fruit only. To manufactureeach unit of A$,$ B$,$ C and Mixed, the following quantities are required:Water Sugar Fruit A Fruit B Fruit C Sale PriceJuice A $1053--12$ TLJuice B $126-2-10$ TLJuice C $133--49$ TLJuice Mixed $8412112$ TLThe company has a total of $150$ units of Water, $120$ units of Sugar and $100$ units of each Fruits.The company wishes to maximize its profit and to determine its production plan. Formulate alinear programming model to help the company to manage its wish. Make sure that you definethe decision variables, state the objective function, and specify all the constraints.