A baseball team plays in a stadium that holds 52,000 spectators. With the ticket price at $10, the average attendance at recent games has been 21,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. (a) Find a function that models the revenue in terms ticket price. (Let x represent the price of a ticket and R represent the revenue.) R(x) = (b) Find the price that maximizes revenue from ticket sales. (c) What ticket price is so high that no revenue is generated? %24

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

A: Given: Hotel determines that 145  rooms will be rented if it sets the price of the room to be $150…

Q: A theater owner charges $5 per ticket and sells 250 tickets. By checking the prices and number of…

A: x=250-10(x-5) y=250-10(x-5)

Q: ) A retailer is selling HDMI cables with ethernet and 3D support. It can sell 180 every month at a…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 2000 – 0.4x dollars per…

A:

Q: It costs the American Automobile Company $8,000 to produce each automobile, and fixed costs (rent…

A:

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

A: The revenue function is R(p)=-5p2+1090p where unit price is p dollars. Differentiate with respect to…

Q: A fertilizer producer finds that it can sell its product at a price of p = 300 – 0.1x dollars per…

A:

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

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the…

Q: If the total revenue function for a computer is R(x) = 1200x – 32x2 – x3, find the level of sales,…

A: Let's find.

Q: A company runs food service concessions for sporting events throughout the country. Their marketing…

A: Company pays $1 for each hot dog. so for x hot dogs company will pay x dollar. revenue function is…

Q: A manufacturer knows that when he charges p dollars per unit for his product, he will be able to…

A: Given :Ax=5+x50x=380-20p

Q: uppose that an appliance maker determines that in order to sell q appliances, the price per appli-…

A: According to our guideline we can only answer first three subparts.

Q: The FeatureRich Software Company sells its graphing program, Dogwood, with a volume discount. If a…

A:

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

A:

Q: A manufacturer has been selling gadgets at a price of $50 each, and at this price, customers have…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p per unit when it produces x…

A:

Q: If the total revenue function for a computer is  R(x) = 2200x − 17x2 − x3,  find the level of…

A:

Q: 2) A retailer is selling HDMI cables with ethernet and 3D support. It can sell 180 every month at a…

A: Given: The demand is of 180 HDMI cables every month at a unit price of $14.00. If the price is…

Q: A POP bookstore sells a drawing book for RM1.50 each. The daily cost function is estimated to be…

A:

Q: A company produces chocolate Easter bunnies at a cost per unit of 0.50 + 0.005x dollars, where x is…

A: Given that the cost of producing 1 unit= 0.50+0.005x  So the cost of producing x units=…

Q: A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates…

A:

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: Given function y=102t+12t2-t3 represents daily output of a factory where, y represents number of…

Q: Wutz UpDogs,Inc., supplies hot dogs to sport stadiums. The total profit function per game is given…

A: The answer is found in step-2.

Q: If the total revenue function for a computer is R(x) = 2400x − 14x2 − x3, find the level of sales,…

A: To find the number of sales x, that maximize the revenue

Q: A fertilizer producer finds that it can sell its product at a price of p = 500 – 0.1x dollars per…

A: Given:       Price p=500-0.1x      Revenue =price times quantity sold         R(x)=500x-0.1x2  cost…

Q: The cost function for producing x items is C(x) =30,000 + 150x -0.10x2 The revenue function is…

A: Profit=Revenue-CostP(x)=R(x)-C(x)P(x)=800x -0.6x2-30,000 + 150x -0.10x2P(x)=800x -0.6x2-30,000 -…

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

A:

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

A: Given: -

Q: Suppose that the selling price pp of an item for the quantity xx sold is given by the function…

A:

Q: The demand curve of a manufacturer is p = 1200 - 3q, where p is the price in dollars per unit and q…

A: We have to calculate the amount of revenue that corresponds to the level of production which…

Q: If the total revenue function for a computer is  R(x) = 3000x − 5x2 − x3,  find the level of sales,…

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: 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: The manufacturer of a CD player has found that the revenue R (in dollars) is  R(p)= -5p^2+1120p,…

A: We have given the revenue function R(p)= -5p^2+1120p

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

A:

Q: An automobile dealer can sell 12 cars per day at a price of $15,000. He estimates that for each $300…

A:

Q: The manufacturing laundry sinks has fixed costs if $100 per day but has total costs of $2,500 per…

A:

Q: A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. determine the…

A: A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. We have to find…

Q: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

A:

Q: The reaction of the body to a dose of medicine can sometimes be represented by an equation of the…

A: Given that R=M2C2-M3, where C is a positive constant and M is the amount of medicine absorbed in the…

Q: the total revenue function for a computer is  R(x) = 2200x − 17x2 − x3,  find the level of sales,…

A: Given query is to find tha value of x for maximum revenue.

Q: A cosmetics company is planning the introduction and promotion of a new lipstick line. The marketing…

A: To find the price at which the revenue is maximized

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: The reaction of the body to a dose of medicine can sometimes be represented by an equation of the…

A:

Q: A corporation manufactures digital cameras at two locations. The cost of producing x1 units at…

A: The cost of producing x1 units at location 1 is, C1=0.05x21+15x1+5400. The cost of producing x2…

Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

A:

Q: A hardware store can obtain widgets at a cost of $7 each. The store has been selling the widgets for…

A:

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $8 the…

A: a) Given:         Let x be the average attendance               y be the price    The two points are…

Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be…

A:

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

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.