Problem: Doa iflii grows apples that they harvest to produce three different products: apple vinegar, apple juice and apple jelly. The farm sells these products at grocery stores, at their in-farm craft store, and during the apple fest at the festival area which lasts one week in October The production has primarily three limitations: cooking time in their kitchen (CT), the labor time available (LT), and the apples harvested (App). They have a total of 500 cooking hours available at the kitchen. Given that it requires 3.5 hours to cook a 10-liter batch of apple vinegar, 5.2 hours to cook 10 liters of apple juice, and 2.8 hours to cook 10 liters of jelly. A 10-liter batch of apple vinegar requires 1.2 hours of labor, a batch of 10 liters juice takes 0.8 hour, and a batch of 10 liters jelly requires 1.5 hours. A batch of apple vinegar requires 40 apples, a 10-liter batch of apple juice requires 55 apples, and a batch of jelly requires 2 apples. For the available labor hours (LT) and apples (App) please refer to the table below. Also, in the table you can find the farm's profit from each product: Sales price of 10 lt of apple apple apple Apple Labor Table: vinegar juice jelly harvest hours 218 172 206 6477 221 Then, a. What is the optimal mix of production to maximize the farm's profit? And b. What is the optimum Revenue obtained from this year's harvest? Problem: Doa iflii grows apples that they harvest to produce three different products: apple vinegar, apple juice and apple jelly. The farm sells these products at grocery stores, at their in-farm craft store, and during the apple fest at the festival area which lasts one week in October The production has primarily three limitations: cooking time in their kitchen (CT), the labor time available (LT), and the apples harvested (App). They have a total of 500 cooking hours available at the kitchen. Given that it requires 3.5 hours to cook a 10-liter batch of apple vinegar, 5.2 hours to cook 10 liters of apple juice, and 2.8 hours to cook 10 liters of jelly. A 10-liter batch of apple vinegar requires 1.2 hours of labor, a batch of 10 liters juice takes 0.8 hour, and a batch of 10 liters jelly requires 1.5 hours. A batch of apple vinegar requires 40 apples, a 10-liter batch of apple juice requires 55 apples, and a batch of jelly requires 2 apples. For the available labor hours (LT) and apples (App) please refer to the table below. Also, in the table you can find the farm's profit from each product: Sales price of 10 lt of apple apple apple Apple Labor Table: vinegar juice jelly harvest hours 218 172 206 6477 221 Then, a. What is the optimal mix of production to maximize the farm's profit? And b. What is the optimum Revenue obtained from this year's harvest
