A trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 40 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 50 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 2800 lb. Moreover, he is not permitted to carry more crates of grapefruit than crates of oranges. If his profit is $2.50 on each crate of oranges and $4 on each crate of grapefruit, how many crates of each fruit should he carry for maximum profit?
A trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 40 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 50 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 2800 lb. Moreover, he is not permitted to carry more crates of grapefruit than crates of oranges. If his profit is $2.50 on each crate of oranges and $4 on each crate of grapefruit, how many crates of each fruit should he carry for maximum profit?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.7: Solve Proportion And Similar Figure Applications
Problem 8.150TI: For every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever...
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A trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 40 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 50 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 2800 lb. Moreover, he is not permitted to carry more crates of grapefruit than crates of oranges. If his profit is $2.50 on each crate of oranges and $4 on each crate of grapefruit, how many crates of each fruit should he carry for maximum profit?
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