please get it done asap

Section B a. Two types of food are available at a take-away: one containing gluten and one gluten-free. Their prices are based on weight: 100g of the food containing gluten costs 45p and 100g of the gluten-free dish costs 75p. The nutritional information for each type of food is as follows: 100g of the food containing gluten provides 0.3g of protein, 1g of fibre and 0.1g of sugar; 100g of the gluten-free dish provides 0.4g of protein, 1g of fibre and 0.7g of sugar. The nutritional requirements for a meal are: at least 3.2g of protein, at least 6g of fibre and at most 7g of sugar. In addition, due to the restric- tions on gluten, at most 700g of the gluten dish should be bought and at least 500g of the gluten-free dish should be bought. We want to have a meal with these two types of food such that the nutri- tional requirements above are satisfied. Denote by r, the number of 100g of gluten dish and by 72 the number of 100g of gluten-free dish to buy. Formulate an LP model that minimises the cost of the meal. [7 marks] b. Consider the following LP: max 2x - y Subject to: 3x + 2y