A Car Rental Agency Has a Budget of $1

question 109

Multiple Choice

A car rental agency has a budget of $1.8 million to purchase at most 100 new cars. The agency will purchase either compact cars at $15,000 each or luxury cars at $30,000 each. From past rental patterns, the agency decides to purchase at most 50 luxury cars and expects an annual profit of $8,000 per compact car and $13,500 per luxury car. How many of each type of car should be purchased in order to obtain the maximum profit while satisfying budgetary and other planning constraints? Find the maximum profit. Round your profit to the nearest dollar and another answers - to the nearest whole number. ​

• A)50 compact cars and 40 luxury cars for a maximum profit of $940,000
• B)​70 compact cars and 50 luxury cars for a maximum profit of $1,235,000
• C)​80 compact cars and 20 luxury cars for a maximum profit of $910,000
• D)​75 compact cars and 30 luxury cars for a maximum profit of $1,005,000
• E)60 compact cars and 45 luxury cars for a maximum profit of $1,087,500

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Definitions:

Amplitude

The height or strength of a wave or signal, indicating the intensity or maximum extent of a vibration or oscillation.

Loudness

The perception of the intensity or amplitude of sound, often measured in decibels.

Pitch

In acoustics, it refers to the perceived frequency of sound, determining how "high" or "low" it sounds.

Tympanic Membrane

A thin layer of tissue that separates the outer ear from the middle ear and vibrates in response to sound waves.