A car rental agency has a budget of $3.2 million to purchase at most 120 new cars. The agency will purchase either subcompact cars at $20,000 each or midsized cars at $40,000 each. From past rental patterns, the agency decides to purchase at most 50 midsized cars and expects an annual profit of $6,000 per subcompact car and $11,000 per midsized car. How many of each type of car should be purchased to obtain the maximum profit while satisfying budgetary and other planning constraints? 100 x subcompact cars 20 x midsized cars Find the maximum profit. $1220000 x

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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A car rental agency has a budget of $3.2 million to purchase at most 120 new cars. The agency will purchase either subcompact cars at $20,000 each or midsized cars at $40,000 each. From past
rental patterns, the agency decides to purchase at most 50 midsized cars and expects an annual profit of $6,000 per subcompact car and $11,000 per midsized car. How many of each type of car
should be purchased to obtain the maximum profit while satisfying budgetary and other planning constraints?
100
x subcompact cars
20
x midsized cars
Find the maximum profit.
$1220000 x
Transcribed Image Text:A car rental agency has a budget of $3.2 million to purchase at most 120 new cars. The agency will purchase either subcompact cars at $20,000 each or midsized cars at $40,000 each. From past rental patterns, the agency decides to purchase at most 50 midsized cars and expects an annual profit of $6,000 per subcompact car and $11,000 per midsized car. How many of each type of car should be purchased to obtain the maximum profit while satisfying budgetary and other planning constraints? 100 x subcompact cars 20 x midsized cars Find the maximum profit. $1220000 x
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