Concept explainers
Explanation of Solution
Formulation of a Linear Programming (LP) to help O.J. maximize the profit:
Let “xij” be the number of pounds of grade “i” oranges used in product from “j”.
Let grade 1 stand for grade 6 oranges, and 2 for grade 9 oranges.
The objective of function is to maximize the profit of O.J. Juice Company.
Total number of pounds of oranges sold in bag is
Therefore, the objective of the function is,
Constraint 1:
The company has total 120000 lb of grade 6 oranges.
Constraint 2:
The company has total 100000 lb of grade 9 oranges.
Constraint 3:
Total quality of the oranges in the bag is,
This should be greater than or equal to 7
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Chapter 3 Solutions
Operations Research : Applications and Algorithms
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- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole