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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 700 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 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 $10,000 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?
How do I solve this step-by-step? By checking work records, a plumber finds that Raul can plumb a house in 48hr. Mira can do the same job in 36hr. How long would it take if they worked together?
A certain club is collecting money for a charity. A local company has agreed to contribute $1 to the charity for every $3 collected by the club. How much money must the club collect in order for the total amount for the charity,
Find the coordinates of the vertices of the feasible set for the following system of inequalities.
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
Using calipers, you find that a copper cylinder has length 8.625 and diameter 1.218 . An electronic pan balance shows that its mass is 89.84 . Find the cylinder's density.
Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $ 375?
Malik popped a ball straight up with an initial upward velocity of 45 feet per second. The hight h, in feet, of the ball above the ground is modeled by the equation h=2+48t-16t2. How long was the ball in the air if the catcher catches the ball whe..
thirty-five fourth-grade students were asked the traditional question what do you want to be when you grow up?nbsp the
What is the probability that a bill currently on John's desk will be paid within two days?
how long is a guy wire that reaches from the top of a 12-ft pole to a point on the ground 5 ft. from the bottom of the pole.
Demostrate that your result gives the obviously correct answer for the limiting case.
Choose a leading Arab or Muslim historical figure preferably from the field of Mathematics. You will then be required to do some collaborative research on his life, main accomplishments and his contribution or significance to our lives today.
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