A trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 60 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 75 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 5100 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 60 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 75 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 5100 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?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
Section1.CR: Review Problem Set
Problem 67CR: A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each...
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A trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 60 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 75 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 5100 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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