The manufacturer of a CD player has found that the revenue R (in dollars) is  R(p)= -5p^2+1120p, when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, what is the maximum revenue to the nearest whole dollar?

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Q: The manufacturer of a CD player has found that the revenue R (in dollar) is R(p)=-5p^2+1,090p, when…

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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

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Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Given: -

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Q: A company has determined that for product A,150 units are demanded if price RM40, and 100 units are…

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Q: A firm can produce 200 units per week. If its total cost function is C = 400 + 1300x dollars and its…

A: topic - application of derivatives

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Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Solution:GivenR(p)=-4p2+4000pTo find the unit price when revenue is maximum.Also find the Maximum…

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Q: A Florida citrus grower estimates that if 60 orange trees are planted, the average yield per tree…

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Q: The manufacturer of a CD player has found that the revenue R​ (in dollars) is R (p)=-5p2 + 1920p…

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Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

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Q: A firm can produce 200 units per week. If its total cost function is C = 900 + 1100x dollars and its…

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Q: A 390-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

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Q: Callaway Golf Company has determined that the marginal cost C of manufacturing x Big Bertha golf…

A: The marginal cost C of manufacturing x is given by the equationC(x)=4.9x2-617.4x+19600

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 55,000 + 100x +…

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Q: Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of units…

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Q: A company handles an apartment building with So units. Experience has shown that if the rent for…

A: Solution of the problem as follows

Q: A firm can produce 300 units per week. If its total cost function is  C = 400 + 1400x  dollars and…

A: P(x) = R(x) - C(x) = 1700x - x² - 400 - 1400x = -x² + 300x - 400   Now take the derivative of the…

Q: A 40-room hotel is fully occupied if $3000 is charged per day per room. For every x hundred-dollar…

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Q: The annual total revenue for a product is given by R(x)=30,000x−6x2 ​dollars, where x is the number…

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Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = - x…

A: R=-x3+45x2+525x To find: Production level that will yield maximum revenue.

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.