The Sweet Tooth Bakery Company produces muffin and pound cake batches from two resources - flour and sugar. - Each muffin batch requires 8 pounds of flour and 2 pounds of sugar, whereas each pound cake batch requires 10 pounds of flour and 6 pounds of sugar. - The company has 80 pounds of flour and 36 pounds of sugar available each day. - Demand for muffins is limited to 6 batches per day. - The profit derived from each batch of finuffins is $400 and from each batch of pound cakes, $100. The company wants to determine the number of batches of muffins and pound cakes to produce each day to maximize profit. a) Define the decision variables. (15 pts) b) Define the objective function. (15 pts) c) Define the constraints. (15 pts) d) Provide a linear program model for this problem. (15 pts) e) Solve this model by graphical analysis. (40 pts)