A car rental agency has a budget of $1.68 million to purchase at most 100 new cars. The agency will purchase either subcompact cars at $14,000 each or midsized cars at $28,000 each. From past rental...

A car rental agency has a budget of $1.68 million to purchase at most 100 new cars. The agency will purchase either subcompact cars at $14,000 each or midsized cars at $28,000 each. From past rental patterns, the agency decides to purchase at most 50 midsized cars and expects an annual profit of $6,500 per subcompact car and $12,000 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?
 subcompact cars
 midsized cars


Find the maximum profit.
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