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 730 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 2,400 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 $9,900 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,900 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.) high-income patients homeless patients profit $

High income patient = 800

Homeless patient = 1,600

Step-by-step explanation:

Provided,

Profit per homeless patient = $9,900

Profit per high-income patient = $7,900

Maximum beds = 2,400

Since profit is more in case of homeless patients, maximum homeless patients shall be admitted.

Provided homeless patients can be maximum twice of high income patients

If high income patients =

Then, homeless patients =

Total patients = 2,400

Now,

This shall mean that high income patient = 800

Homeless patient =

Profit shall be maximum in this,

As maximum profit per patient is on homeless patient, and homeless patient cannot be more than 1,600 as because of the management decided ratio of high income patient and homeless patient.

Profit in this case,

Homeless patient =

High income patient =

Total profit = $22,160,000

using pemdas, (order of operations) you'll see the answer is 24.

answer:

1.14285714286

step-by-step explanation:

divide 40 into 35 and you will get your answer