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A manager of an automobile dealership must decide how many cars to order for the end of the model year. Midsize cars yield an average profit of $500 each, and compact cars yield an average profit of $400 each.
Either type of car will cost the dealership $8,000 each, and no more than $720,000 can be invested.
The manager wants at least 10 of each type, but no more than 50 of the midsize cars and no more than 60 of the compact cars.
Formulate the linear programming model of this problem.