Answer to Question #337961 in Management for Ntokozo

Question

Meat house’s Barbecue Restaurant in Soweto makes two primary food items fresh each morning: pulled pork barbecue and beef brisket barbecue. These two items are sold as part of different menu items, including sandwich and barbecue plates, with a variety of different sides. The maximum amount of barbecue Meat house’s has ever sold in a day is 250 Kg, and the least amount is 120 Kg. It generally sells more pork barbecue than beef barbecue—as much as twice as much pork as beef barbecue, and as little as 20% more pork than beef. The restaurant’s meat supplier delivers 150 Kg of pork and 110 Kg of beef each day. Regardless of how it is served on the menu, the restaurant makes about R8.65 per pound for pork barbecue and R10.95 per Kg for beef barbecue. The restaurant wants to know how many Kg of each type of barbecue to cook each day in order to maximize profit. 

7.1. Formulate a linear programming model for this problem.