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BMAT 2022 · Question 30 · Optimisation

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Rainbows School has 18 classrooms. Each room will be painted in one of the seven colours of the rainbow. For each of the seven colours, there will be at least two rooms painted in that colour. Painting each room will require 1 tin of paint. The cost of a tin of paint varies according to the colour, as shown in the table.

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What is the least possible cost of the 18 tins of paint needed to paint all the classrooms?