Linear Programming.
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Linear Programming Our school is planning to introduce house t-shirts for each of the four houses, however, they have set the task of obtaining the t-shirts to each individual house. Our house, Garrett Anderson, has 85 people, and we thought that it would be cheaper to share the price of the t-shirts with another house, Fry. Garrett Anderson t-shirts would be white, the house colour, with the house logo on it, and Fry would be purple, with their house logo on it. Fry need 70 t-shirts. It costs £5 to buy each white t-shirt and an extra £0.75 each t-shirt to be dyed the purple colour. It costs an extra £1.00 to buy a large sized t-shirt, regardless of colour. It is optional for years 11-13 to buy a t-shirt, but if we buy 100+ t-shirts, we receive a 10% discount, but if we buy 150+ t-shirts, we receive a 15% discount. The overall cost would be shared between the two houses. However,...

