A car rental agency has a budget of $1.96 million to purchase at most 110 new cars. The agency will purchase either subcompact cars at $14,000 each or mid-sized cars at $28,000 each. From past rental patterns, the agency decides to purchase at most 50 mid-sized cars and expects an annual profit of $7,500 per subcompact car and $11,000 per mid-sized 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?
subcompact cars
mid-sized cars

Find the maximum profit.

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.
$