A health food restaurant produces its own special dish using two ingredients, X and Y. Each unit of ingredient X costs £2, each unit of ingredient Y costs £3. Each unit of ingredient X provides 1 g of protein and 1 g of vitamins, whereas each unit of ingredient Y provides 1 g of protein and 2 g of vitamins. To match the promotional claim for its special dish, each serving must contain at least 10 g of protein and at least 14 g of vitamins. What combination of these ingredients, X and Y, will minimise the firm’s TCs of production while still meeting the protein and vitamin requirements?
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