An automobile dealer can sell 8 sedans per day at a price of $20,000 and 4 SUVs (sport utility vehicles) per day at a price of $25,000. She estimates that for each $400 decrease in price of the sedans she can sell two more per day, and for each $600 decrease in price for the SUVs she can sell one more. If each sedan costs her $16,800 and each SUV costs her $19,000, and fixed costs are $1,100 per day, what price should she charge for the sedans and the SUVs to maximize profit? [Hint: Let x be the number of $400 price decreases for sedans and y be the number of $600 price decreases for SUVs, and use the

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