The manager of a large apartment complex has found that the profit (in thousands of dollars) is given by P (x) = –2x² + 500x – 30000, where x is the - number of units rented. Answer the following questions: (i) What is the profit when 120 units are rented? (ii) How many units must be rented to earn a profit of $800,000? (iii) How many units should be rented to produce the maximum profit? (iv) What is the maximum profit?

Q: A cellular telephone company estimates that, if it has x thousand subscribers, its monthly profit is…

A: Given; A cellular telephone company estimates that, if it has x thousand subscribers, its monthly…

Q: What is the relationship between the graph of x=-b/2a and the graph of the quadratic function?

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Q: h(x+5)=3x2-2

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Q: Jesaki Inc estimates that it will sell N(x) units of product after spending $x thousand on…

A: The point of diminishing returns is the point at which the rate of profit from an investment begins…

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A: Here we have to find the time and height.

Q: or a certain company, the monthly profits earned by investing x dollars per month in publication are…

A: Given profit function is,  U=−0.12x2+510x−25000

Q: The United States wine consumption can be modeled by the function f(x)=0.004x^2-0.094x+2.607 where x…

A: The function is fx=0.004x2-0.094x+2.607.   Substitute 25 for x in the above function.…

Q: Write the following functions as a sum of squares: (i) g(x) = x² – 2:r and (ii) p(x) = 4x²+12x – 7.…

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Q: The daily number of requests,f(x), for a song that a local radio station receives can be modeled by…

A: Given that The daily number of requests,f(x), for a song that a local radio station receives can be…

Q: how

A: The given function is a third degree polynomial.

Q: 4. A small company has determined that its profit ("P") depends on the money spent on publicity 8x…

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Q: Ms. Miranda runs a cookie and cupcake business. When she sells “x” items per year, the income is…

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Q: When a ball is tossed into the air, the height h is feet of the ball t seconds from the time that…

A: ht=-16t2+80t+4 Comparing with ht=at2+bt+c, we get a=-16, b=80 & c=4 Now maximum value occurs at,…

Q: Graph the function f(x)= -3(x)^x +7

A: The given function is  f(x)=-3(x)x+7

Q: If h(x) = -2x2 - x + 4, find h(-2), h(-3), h(4), and h(5).

A: We have to find the value of the function at certain points . In general for a function fx we can…