Suppose, in Example 7, it costs the BBC realty company, on the average, $800 each month to maintain each vacant apartment. What monthly rent should they charge if their profit is to be maximized?
Example 7
BBC Rentals Inc. owns a large apartment complex containing 400 identical apartments. If the monthly rent for each apartment is $800 all the apartments are rented. However, for each $60 monthly increase in rent 3 apartments become vacant. Find an expression which may be used to represent their monthly income and determine the monthly rent to be charged to maximize their income