1. Maggie Stewart loves desserts, but due to weight and cholesterol concerns she has decided she must plan her desserts carefully. There are two possible desserts she is considering: snack bars and ice cream. After reading the nutrition labels on the snack bar and ice cream packages, she learns that each serving of snack bar weighs 37 grams and contains 120 calories and 5 grams of fat. Each serving of ice cream weighs 65 grams and contains 160 calories and 10 grams of fat. Maggie will allow herself no more than 3150 calories and 175 grams of fat per week in her desserts, but because she loves dessert so much, she requires at least 840 grams of desserts per week. Each serving of ice cream has 3.5 grams of proteins and each serving of snack bar has 2.5 grams of proteins. Find the weekly dessert plan that stay within her constraints and maximizes total protein of her dessert (write down the mathematical model and solve the problem using graphical approach)? Round the answer to nearest integer.