Case Description Gillian’s Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen yogurt, each in a variety of flavors. The restaurant makes one order for ice cream and yogurt each week, and the store has enough freezer space for 115 gallons total of both products. A gallon of frozen yogurt costs $1 and a gallon of ice cream costs $2, and the restaurant budges $90 each week for these products. The manager estimates that each week the restaurant sells at least twice as much ice cream as frozen yogurt. Profit per gallon of ice cream is $5, and profit per gallon of yogurt is $3. A. Please answer the following questions using the graphic technique introduced in class to find out the optimal value. Use the back side of this paper and the provided graph paper to prepare your answers.
1. Please show your work for “Model Formulation”.
2. Please clearly specify what the feasible region is.
3. Please demonstrate one sample line for your objective function.
4. What is the optimal amount, in terms of gallon, of the ice cream and yogurt that the manager should order to maximize the profit?
5. What is the expected maximized profit? If necessary, please round your results to two decimal places