1. A movie theater seats 240 people. For any particular show, the amount of money the theater makesis a function of the number of people, n, in attendance. Analysis of recent price and attendancedata suggests that for a weekday matince showing, if the price of a ticket is set at p dollars, then thenumber of people in attendance, n, is given by n = 240-12p.(a) At what price will no one attend the showing?(b) How many people will attend if prices are set at the regular price of $12? What income will thetheater earn at this price?(c) Write an equation that describes the income, I, that the theater will earn in terms of the ticketprice, p.(d) At what price should tickets be sold to earn the greatest ticket income from the matinee show?What income will the theater earn at this price?

Answered: Image /qna-images/answer/b9a97922-0001-4bd1-bfb5-44dc2c38bfc0.jpg

Answered: 1. A movie theater seats 240 people.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Car Loansa. Explain why the monthly payment P is a linearfunction of the amount borrowed A.b. Find f (25,000) and interpret its meaning.c. If f (A) = 358.49, what is A?
A phone company charges $25 a month for unlimited talk, text, and 2GB of data, and $5 for every gigabyte of data above 2GB. Write an expression for the monthly phone charge, P, in dollars, as a function of the number of gigabytes of data, d, used that month. For 0 P(d) : = P(d) =
On the following graph, use the green point (triangle symbol) to plot the weekly total revenue when the market price is $50, $75, $100, $125, $150, $175, and $200 per scooter. TOTAL REVENUE (Dollars) 2610 2430 2250 2070 1800 1710 1530 1350 1170 990 0 25 50 75 100 125 150 175 200 225 250 275 300 325 PRICE (Dollars per scooter) Total Revenue ? According to the midpoint method, the price elasticity of demand between points A and B is approximately 0.69 Suppose the price of scooters is currently $125 per scooter, shown as point A on the initial graph. Because the demand between points A and B is Inelastica $25-per-scooter decrease in price will lead to a decrease in total revenue per week. In general, in order for a price decrease to cause a decrease in total revenue, demand must be Inelastic
1.In an enter - baranggay basketball league,the team from baranggay Carolina has won 15 out of 25 games,a winning percentage of 60%. We have seen that they need to win 25 more games consecutively to raise their percentage for at least 80%. a.what function will represent the winning percentage of baranggay Carolina if x is the number of remaining games? b.what will be the winning persentage after 15?20?25?30?35 games? c.plot the ordered pairs you got in questions (a)and(b) in a Cartesian plane and connect it using a smooth curve
You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $75.00, two for $73.00 each, and in general the group rate per room is found by taking $2 off the base of $75 for each extra room rented. (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization. (c) Find a formula for a function R = R(n) that gives the total revenue from renting n rooms to a convention host. (d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS