Business administration club has a budget of 180 OMR to invest into two types of items: A and B. The cost of item A is 11 OMR while the cost of item B is 5 OMR. The club store is only enough for 20 pieces. The profit of selling item A is 4 OMR whereas the profit of selling item B is 2 OMR. How many pieces of each type of items should be purchased in order to maximize the profit? Formulate the problem as a linear programming problem.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Q4. Business administration club has a budget of 180 OMR to invest into two types of items: A and B. The cost of item A is 11 OMR while the cost of item B is 5 OMR. The club store is only enough for 20 pieces. The profit of selling item A is 4 OMR whereas the profit of selling item B is 2 OMR. How many pieces of each type of items should be purchased in order to maximize the profit? Formulate the problem as a linear programming problem.
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