An airline finds that if it prices a cross-country ticket at $400, it will sell 500 tickets per day. It estimates that each $20 price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue. ticket price = ? number of tickets = ?

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

A: Let they will have to increase $5 x times.  So new price= 80+5x Number of rented cars at that price=…

Q: A farmer decides to enclose a rectangular field using the side of a barn as one side of the…

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Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $11 the…

A: Given, When ticket price is 11 $ , no. of spectators = 20000 When ticket price is 10 $ , no. of…

Q: Find the value of P which maximizes the following function (and the value of Y at the maximum). Y =…

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Q: . Perry's Salon makes $18 on each manicure and $25 on each cut and style. A manicure takes 30…

A: Total number of working hours=5×8=40 hours 40 hours= 40×60=2400 minutes Let there will be x manicure…

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

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Q: Which graph bests represents a quadratics function that has ONLY ONE solution?

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Q: Rent-A-Reck Incorporated finds that it can rent 80 cars if it charges $40 for a weekend. It…

A:

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…

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Q: An apple orchard yields 20 bushels of apples per tree when there are 75 trees per acre. For each…

A:

Q: (a) What is the number of $1 increases in price that will maximize the revenue? Note: Revenue =…

A: Let x = $1 increases R = Revenue (in $) Given, R=(Number of item (ticket) sold) ×(Price of per item)…

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 university is trying to determine what price to charge for tickets to football games. at a price…

A: Revenue = people×ccost of ticket+people×5.0Every decrease of $2 ,  adds 10,000 peopleSo, decrease of…

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

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

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

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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 farmer finds that if she plants 100 trees per acre, each tree will yield 65 bushels of fruit. She…

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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: The profit for a product can be described by the function ​P(x)=232x−5000−x2 ​dollars, where x is…

A: Given profit function ,        Px=232x-5000-x2

Q: A manufacturer has a fixed cost of $10,000. If it costs the company $17,515 to produce 45 units, how…

A: Consider the given information areFixed cost = 10,000$Cost of the 45 units = 17,515$cost function is…

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

A:

Q: Rent-A-Reck Incorporated finds that it can rent 80 cars if it charges $40 for a weekend. It…

A: Given that, 80 cars for $40 for a weekend. It estimates that for each $5 price increase it will two…

Q: r(p) = 600p - 6p^2 what price p maximizes revnue?  p= $___

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: 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 firm estimates that it can sell Q units of its product with an advertising expenditure of…

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Q: A company's profit when it sells x thousand items is predicted to be P(x) = - 3x? + 1470x – 10000.…

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Q: A firm can produce 200 units per week. If its total cost function is c= 400 + 1500x dollars and its…

A: Given: Total units produced by a firm= 200 Cost function C(x)= (400+1500x)$ Revenue Function R(x)=…

Q: If the total revenue function for a computer is R(x) = 2800x – 8x - x, find the level of sales, x,…

A: We have to find out the value of x and R(x)

Q: The demand for monorail service in a city in 2005 can be approximated by q = -4,500p + 43,100 rides…

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Q: What values of a and b maximize the value of ["(x – x²)

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

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

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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: S(x) = -2x^3 + 27x^2 + 132x + 200 Find the amount spent on advertising to maximize the number of…

A:

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 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: A farmer finds that if she plants 40 trees per acre, each tree will yield 55 bushels of fruit. She…

A: Let x be the additional number of tree . So total trees are ( 40 + x ) and total bushels ( 55 - 4 x…

Q: Write a function, ?(?), which has a maximum and a y-intercept of -3.

A: our objective is to Write a function, which has a maximum and a y-intercept of -3.

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 90 trees per acre, each tree will yield 25 bushels of fruit. She…

A: Given:- If she plants 90 trees per acre each tree will yield 25 bushels of fruit