A motel finds it can rent 230 rooms when the room rate is $45 per day. For each $1 increase in the rate, two fewer rooms are rented. Find the room rate that maximizes daily revenue. The rate that maximizes revenue is $

Q: The profit for a product can be described by the function P(x) = 232x - 5500 –-x dollars, where x is…

A: Given function :

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 65 bushels of fruit. She…

A: Let's find.

Q: An artist can sell 20 copies of a painting at $100 each, but for each additional copy she makes, the…

A: SOLUTION-

Q: hours a week. He routinely completes at least 4 shocks replacements and 6 brake replacements a week.…

A:

Q: A company manufactures and sells bath cabinets. The function P(x) = -x2 + 150x - 4425 models the…

A: Since the equation is a parabolic equation and a parabola has an apex which has the highest value of…

Q: farmer finds that if she plants 55 trees per acre, each tree will yield 35 bushels of fruit. She…

A: Given query is to find the number of trees to be planted per acre.

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

A: Given: If farmer plants 60 trees per acre, each tree will yield 35 bushels of fruit. For each…

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: solution is given below.

Q: What price per ticket should be charged in order to maximize​ revenue? How many people will attend…

A:

Q: Cruzing Tunes determines that in order to sell x units of a new car audio receiver, the price per…

A:

Q: The revenue from selling an item is the number you sell, multiplied by the price you're selling it…

A: The answer is found in step-2

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 55 bushels of fruit. She…

A: We will find the no of trees she plant per acre to maximize her harvest as shown below

Q: The profit for a product can be described by the function P(x)= 212x-5000-x dollars, where x is the…

A: Given:   Profit function Px=212x-5000-x2 dollars To Find: To calculate the number of units for…

Q: You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not…

A:

Q: A fitness club charges a $50 membership price per month. At this price, the club can attract 504…

A: Suppose p be the price and x be the number of member's. The Px,p=504,50 and Qx,p=528,48 Now use the…

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 60 bushels of fruit. She…

A: Given query is to find the number of trees to maximize the harvest.

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She…

A:

Q: At a price of $4 per ticket, a musical theater group can fill every seat in the theater, which has a…

A:

Q: Aizaz charges $300 for a new product called “Magic Box” that claims you will be a Magician Guru in…

A:

Q: A small business enterprise makes dresses and trousers. To make a dress requires , hours of cutting…

A:

Q: The graph shows the total number of widgets produced by two companies. What does the solution x 5…

A: Consider the given graph.

Q: The student council is organizing a trip to rock concert. All proceeds from ticket sales will be…

A: The solution is given below

Q: A company charters a party boat that normally costs 60$ per person. a group discount reduces the…

A: Given, A party boat normally costs 60$ per person. A  group discount reduces the fare by 0.5 cents…

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

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

Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if…

A:

Q: You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you River do…

A: The values of the variable for which the function gives maximum or minimum values can be obtained by…

Q: Rent-A-Reck Incorporated finds that it can rent 80 cars if it charges $60 for a weekend. It…

A: Revenue Function:

Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 70 bushels of fruit. She…

A: Given that: On planting 85 trees per acre, each tree will yield 70 bushels of fruit.For each more…

Q: Video Productions produces DVDs selling for $20 per unit. Fixed costs are $40,000 and the…

A:

Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 25 bushels of fruit. She…

A:

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 25 bushels of fruit. She…

A: This is a question related to maxima and minima of the function. First of all we will find out the…

Q: Rent-A-Reck Incorporated finds that it can rent 60 cars if it charges $40 for a weekend. It…

A:

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 30 bushels of fruit. She…

A: see below the calculation

Q: r crop B costs $20 per acre. The farmer can spend at most $1200 on seed. crop B brings in a profit…

A:

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 40 bushels of fruit. She…

A: We need to find no. of trees.

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 25 bushels of fruit. She…

A: Given :  60 trees plants  25 yield bushel  Yield decrease bu 4

Q: A coach makes cookies on the weekend to sell at a school fundraiser. Past experience shows that at…

A:

Q: A company's profit when it sells x thousand items is predicted to be P(x) = - 2x² + 868x – 12000. a)…

A:

Q: P(x) = 250 - 20. 0sx5 5000. (A) Find the maximum revenue. (B) Find the maximum profit, the…

A:

Q: You have $38,000 you would like to invest in two different stocks, Stock Boll and Stock Coff. The…

A:

Q: A local community center built a rectangular basketball court using 100 feet of fence. They used…

A: Given query is to find the area of basketball court and playground, and compare them.

Q: An apartment complex has 250 apartments to rent. If they rentr apartments then their monthly profit,…

A:

Q: The maximum profit. (decreases, increases or stays the same) ​$____ The maximum occurs…

A:

Q: You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not…

A: There is a  figure which shows a rectangular plot along with river on one side along with fencing of…

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

A: Let 'x' be the number of $20 price reduction and the number of 40 tickets more sold per day. Let…

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 20 bushels of fruit. She…

A: Total no of bushels in 95 trees =95×20  =1900 Let x no of trees will be added then yield will…

Q: A company produces and sells 2000 units per month at a price of $100. By reducing the price by $5…

A: Let the company reduces the price by $5 , x times So the new price= 100-5x Number of units sold=…

Q: A farmer finds that if she plants 50 trees per acre, each tree will yield 55 bushels of fruit. She…

A:

Q: P (x) = -112 + 1782x – 54,000 | To maximize the monthly rental profit, how many units should be…

A: using double derivative test

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 80 bushels of fruit. She…

A: We will use quadratic equations formulae to find solution to the problem .