the megabuck hospital corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. state regulations require that every subsidized nursing home must house a minimum of 750 homeless patients and no more than 1,100 high-income patients in order to qualify for state subsidies. the overall capacity of the hospital is to be 2,100 patients. the board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. due to the state subsidy, the hospital will make an average profit of $9,600 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,500 per month. how many of each type of patient should it house in order to maximize profit? hint [see example 3.] (if an answer does not exist, enter dne.) chegg