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5. [-/1 Points] DETAILS Math 110 Course Resources - Optimization Course Packet on applications: Maximizing profit The HIWay Robery Financial Group has determined to advise

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5. [-/1 Points] DETAILS Math 110 Course Resources - Optimization Course Packet on applications: Maximizing profit The HIWay Robery Financial Group has determined to advise x clients at their upcoming series of get-rich-quick seminars, the price per client p(x) In dollars that must be charged Is p(x) = 1800 - 7x. The financial group also determines that the total cost of advising x clients is given by C(x) = 750x + 700. How many clients does the financial group need to have In order to maximize their profit? Number of clients = What price p should they charge each client In order to maximize their profit? Price per client, p = dollars Compute their maximum profit. Maximum profit = dollars Submit Answer 6. [-/1 Points] DETAILS Math 110 Course Resources - Optimization Course Packet on applications: Maximizing profit Mt. Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town. Both companies use the same monthly profit model given by P(x) =-7x2+ 896x - 14000 where x represents the number of apartments rented in a month and P(x) is in dollars. (a) Assuming Mt. Nittany Property Management Company manages 100 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. Number of apartments =[ Maximum monthly profit = dollars (b) Assuming Happy Valley Rentals manages 50 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. Number of apartments = Maximum monthly profits = dollars

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