1. Sherwin owns a car and a van. He has at most 20 gal of gasoline to be used between the car and the van. The car's tank holds at most 10 gal and the van's at most 15 gal. the mileage of the car is 80 mpg and for the van is 100 mpg. How many gallons of gasoline should each vehicle use if Sherwin wants to travel as far as possible? What is the maximum number of miles?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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1. Write the correct mathematical models for the objective functions and constraints.
1. Sherwin owns a car and a van. He has at most 20 gal of gasoline to
be used between the car and the van. The car's tank holds at most 10
gal and the van's at most 15 gal. the mileage of the car is 80 mpg and
for the van is 100 mpg. How many gallons of gasoline should each
vehicle use if Sherwin wants to travel as far as possible? What is the
maximum number of miles?
Transcribed Image Text:1. Sherwin owns a car and a van. He has at most 20 gal of gasoline to be used between the car and the van. The car's tank holds at most 10 gal and the van's at most 15 gal. the mileage of the car is 80 mpg and for the van is 100 mpg. How many gallons of gasoline should each vehicle use if Sherwin wants to travel as far as possible? What is the maximum number of miles?
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