Mathematics in Everyday Life by John Haigh

Author:John Haigh
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

(iii)The unit costs of food items A, B and C are 25, 30 and 40. Janet wishes to meet her dietary constraints of (at least) 40 units of vitamin R, 20 of vitamin S, 60 of vitamin T and 25 of vitamin U, at minimum cost. The amounts of vitamins R to U respectively in unit amount of A are 5, 10, 0, 8; in B the amounts are 0, 6, 15, 3; in C they are 4, 2, 5, 10.

(iv)For , goods of type i each weigh and have value . A container can hold items whose total weight is at most W. Maximise the value of the goods in the container, explaining your notation carefully. (This is known as the knapsack problem .)

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