Answer to Question #7508 in Linear Algebra for mohan

Question

b) Azman needs to buy some filing cabinets to store his company’s documents. A steel cabinet costs RM 200 per unit, requires 8 square feet of floor space and holds 30 cubic feet of documents. A wooden cabinet costs RM 100 per unit, requires 12 square feet of floor space, and holds 20 cubic feet of documents. The purchase of cabinets should not exceed RM 1800 and the office has no room for more than 168 square feet of cabinets. The annual maintenance fee per steel cabinet is RM 30 and the annual maintenance fee per wooden cabinet is RM 10. His company doesn’t want to spend more than RM 240 annually for the maintenance of the cabinets.


(i) Formulate an LP model to determine how many steel cabinets and wooden cabinets are needed in order to maximize the storage volume for documents.

(ii) Use the simplex method to solve the problem.

(10 marks)