A department store stocks three types of materials: A, B, and C. Each unit of type A occupies 0.2 square meters of shelf space, each unit of type B occupies 0.2 square meters of shelf space, and each unit of type C occupies 0.2 square meters of shelf space. The store has 100 square meters available for storage. Surveys show that the store should have on hand at least 18 units of material A and at least 22 units of A and B combined. Storage of one unit of brand A costs the store £19, brand B £9, and brand C £14. The store management wants to use all shelf space available and minimise the cost of storage. What is the minimum cost of storage that the store can achieve by choosing an optimal storage plan?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 1E: Note: Exercises preceded by an asterisk are of a more challenging nature....
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A department store stocks three types of materials: A, B, and C.
Each unit of type A occupies 0.2 square meters of shelf space, each unit of type B occupies 0.2

square meters of shelf space, and each unit of type C occupies 0.2 square meters of shelf space. The store has 100 square meters available for storage. Surveys show that the store should have on hand at least 18 units of material A and at least 22 units of A and B combined.
Storage of one unit of brand A costs the store £19, brand B £9, and brand C £14.

The store management wants to use all shelf space available and minimise the cost of storage. What is the minimum cost of storage that the store can achieve by choosing an optimal storage plan?

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