O.J. Juice Company sells bags of oranges and cartonsof orange juice. O.J. grades oranges on a scale of 1 (poor)to 10 (excellent). O.J. now has on hand 100,000 lb of grade9 oranges and 120,000 lb of grade 6 oranges. The averagequality of oranges sold in bags must be at least 7, and theaverage quality of the oranges used to produce orange juicemust be at least 8. Each pound of oranges that is used forjuice yields a revenue of $1.50 and incurs a variable cost(consisting of labor costs, variable overhead costs, inventorycosts, and so on) of $1.05. Each pound of oranges sold inbags yields a revenue of 50¢ and incurs a variable cost of20¢. Formulate an LP to help O.J. maximize profit.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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O.J. Juice Company sells bags of oranges and cartons
of orange juice. O.J. grades oranges on a scale of 1 (poor)
to 10 (excellent). O.J. now has on hand 100,000 lb of grade
9 oranges and 120,000 lb of grade 6 oranges. The average
quality of oranges sold in bags must be at least 7, and the
average quality of the oranges used to produce orange juice
must be at least 8. Each pound of oranges that is used for
juice yields a revenue of $1.50 and incurs a variable cost
(consisting of labor costs, variable overhead costs, inventory
costs, and so on) of $1.05. Each pound of oranges sold in
bags yields a revenue of 50¢ and incurs a variable cost of
20¢. Formulate an LP to help O.J. maximize profit.

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