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Murlo Koffee sells three blends of coffee in one kilogram tins. Expresso blend contains 600 grams of Ethiopian beans and 400 grams of Jamaican beans. Private blend contains 400 grams of Ethiopian beans, 400 grams of Colombian beans, and 200 grams of Jamaican beans. Riviera blend contains 200 grams of Ethiopian beans, 400 grams of Colombian beans, and 400 grams of Jamaican beans. The manager has the following stock: 32 kilograms of Ethiopian beans, 16 kilograms of Colombian beans, and 25 kilograms of Jamaican beans. If she wishes to use up all of the beans, how many tins of each type of blend can be made? Express this problem in matrix notation and solve using matrix algebra. Where necessary, find the inverse of a matrix using the adjoint method