A 40-room hotel is fully occupied if $3000 is charged per day per room. For every x hundred-dollar increase in the daily rate, there are x units vacant. What rate will maximize the revenue of the hotel operation?

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: Maria holds two part-time jobs, Job A and Job B. She never wants to work 56 hours a week. If…

A: let number of hours spent at job A be x  So, let's say she works at her peak limit each week, i.e.…

Q: If P(x) = 3+ 5x – x represents the profit in selling x thousand Boombotix speakers, how many…

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Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: Given Information -  If the rent is $500 then all 100 units apartment of complex will be occupied.…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

A: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

Q: An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day.…

A: Question- An airline finds that if it prices a cross-country ticket at $500, it will sell 300…

Q: A restaurant advertises that it will provide beer, pizza, and wings for $50 per person at a Super…

A: Revenue of the transaction is difference in Selling price and cost price. For selling price greater…

Q: Suppose a company's profits are given by P = x^2 y, where x is the amount of money they spend on TV…

A: given  P = x^2 y x+y=12

Q: The manager of a large apartment complex knows from experience that 90 units will be occupied if the…

A: let R be the revenue, and let n be the number of (up or down) $4 in rent. Hence the equation for…

Q: The marketing department of a local shoe company found that approximately 600 pairs of running shoes…

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Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. thank you

A: Given that, The total number of bungalows in hotel = 30. They rent 20 of the bungalows, they can…

Q: Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: First make equation and then differentiate

Q: The marketing department of a local shoe company found that approximately 700 pairs of running shoes…

A: Monthly sales of shoes are 700 and the price of each pair is $93.  For each $1 was reduced in price…

Q: A walnut grower estimates from past records that if 20 trees are planted per acre, then each tree…

A: to find : (i) no. of trees to be planted for maximum yield per acre. (ii) maximum yield per acre.

Q: Suppose a different tournament that Mahmoud organizes has 120 players and the entry fee is AED 40.…

A: Given that the number of players is 120 and the entry fee is AED 40. Also, each time Mahmoud…

Q: An apple grower finds that if she plants 40 trees per acre, each tree will yield 230 bushels of…

A: Let x be the number of additional tress.From the given information, the total number of trees is (40…

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Q: An apple grower finds that if she plants 60 trees per acre, each tree will yield 222 bushels of…

A: Let x be the additional number of trees planted on the 1 acre land. Let y be the total harvest of…

Q: A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling…

A: Given:

Q: Suppose that 50 students are able to raise $250 for a gift when each one contributes $5.…

A: An equation of single variable having degree 2 is called quadratic equation. It is in the form of…

Q: The profit for a product can be described by the function ​P(x)=212x−5500−x2 ​dollars, where x is…

A: Given P(x) = 212x-5500-x2 d/dx P(x) = 212-0-2x = 0 2x-212 = 0 2x = 212 x = 106

Q: If a consumer has an income of $200, the price of X is $5, and the price of Y is $10, what is the…

A: We will solve the following

Q: If the total revenue function for a computer is R(x) = 2600x − 11x^2 − x^3, find the level of sales,…

A:

Q: A 300-room hotel can rent every one of its rooms at $80 per room. For each $1 increase in rent,…

A: Let x be the amount hotel should charge for each room to maximize its daily profit.

Q: A firm can produce 500 units per week. If its total cost function is  C = 500 + 1200x  dollars and…

A:

Q: A retail store has determined that the daily profit for the store is related to the number of…

A: for maximize profit put p'(x)=0.

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 65 bushels of fruit. She…

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Q: A real-estate firms owns 100 apartments. At 700 Dollars per month, each apartment can be rented.…

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Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: manager sells 75 cakes per week at 650 pesos each and he knows that for every 10 pesos crease in the…

A: Given query is to find the price tk maximize the revenue.

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: Apartment complex contains 100 units  All units will be occupied if the rent is $900 per month if…

Q: An apple grower finds that if she plants 20 trees per acre, each tree will yield 90 bushels of…

A:

Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q =…

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be…

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

Q: Bubba, a farmer, wants to fence-in a three-sided area next to his barn, using the side of the barn…

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Q: What is the cost of producing the 3001st Quebee?

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Q: The estimated monthly profit realizable by Hanover Jones Inc. for manufacturing and selling x units…

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Q: Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x²…

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Q: An oil- producing country can sell 7 million barrels of oil a day at price of $90 per barrel. If…

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Q: If the total revenue function for a computer is R(x) = 2600x – 11x2 – x3, find the level of sales,…

A: Given,The total revenue function for a computer isR(x)=2600x-11x2-x3

Q: An airline finds that if it prices a cross-country ticket at $300, it will sell 100 tickets per day.…

A: An airline finds that if it prices a cross-country ticket at $300, it will sell 100 tickets per day.…

Q: An airline finds that if it prices a cross-country ticket at $400, it will sell 100 tickets per day.…

A:

Q: The owner of an apartment building can rent all 60 apartments if she charges $1,800 per month, but…

A:

Q: A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The management wants…

A: Given that A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The…

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 30 bushels of fruit. She…

A:

Q: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

A: Let us assume he has to increase 3 dollars x times.So, the new rent= 396-3x Number of units will be…

Q: If the total revenue function for a computer is R(x) = 1800x - 23x2 - x³, find the level of sales,…

A: