Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit

Question:

Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars) for taking n people on a city tour is P(n) = n(50 - 0.5n) - 100. (Although P is defined only for positive integers, treat it as a continuous function.)

a. How many people should the guide take on a tour to maximize the profit?

b. Suppose the bus holds a maximum of 45 people. How many people should be taken on a tour to maximize the profit?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Mar 05, 2019 05:11 AM

See More Questions

A random sample of 50 college first-year students (out of a total of 1000 first-years) was obtained from college records using systematic sampling. Half of those students had a campus tour with a...
The 700-room Westin Charlotte offers a premiere uptown location in the heart of the citys financial district. On a busy weekend, the hotel has 20 rooms that are not occupied. Suppose that smoking is...
A grapefruit farmer in central Florida is trying to decide whether to take protective action to limit damage to his crop in the event that the overnight temperature falls to a level well below...
Have leadership scholars, over the past 50 years, managed to produce a clear, cookie-cutter profile of the ideal leader through more than 1,000 studies
As a preliminary to requesting budget estimates of sales, costs, and expenses for the fiscal year beginning January 1, 2017, the following tentative trial balance as of December 31, 2016, is prepared...
Use the sequence feature of a graphing calculator to graph the first ten terms of each sequence as defined. Use the graph to make a conjecture as to whether the sequence converges or diverges. If it...
12. With one or several friends, conduct a brainstorming session and list as many uses of a paperclip as you can.
Lobbying Expenses. EarthFriendly, Inc., an IRC Sec. 501 (c) (3) organization, incurred lobbying expenses of $150,000 and exempt purpose expenditures of $1.2 million in carrying out its exempt...
a tangible asset has a current price of $11. the risk-free rate is 10% per annum. if a futures contract on this asset maturing in three months is sold for $12.48, what should the relevant fixed...
Allie has bought a new apple orchard. The orchard has a single file of trees, numbered from 1 to N. Each tree has a certail number of ripe apples. Allie has a rule she wants to follow. She wants to...
A right circular cylinder is placed inside a cone of radius R and height H so that the base of the cylinder lies on the base of the cone. a. Find the dimensions of the cylinder with maximum volume....
Sketch a graph of a function f that is continuous on (-, ) and has the following properties. f'(x) > 0, f"(x) > 0
FIGURE P33.33 shows the light intensity on a screen 2.5 m behind an aperture. The aperture is illuminated with light of wavelength 620 nm. a. Is the aperture a single slit or a double slit?...
226 Payroll Accounting Chapter 7: Comprehensive Projects-Paper-Based Versions One-Month Project NOTE! Templates needed to complete these exercises, including one containing year-to-date payroll data,...
The Westchester Chamber of Commerce periodically sponsors public service seminars and programs Currently, promotional plans ore under way for this year's program Advertising alternatives include...
Mastery Problem: Activity-Based Costing WoolCorp WoolCorp buys sheep's wool from farmers. The company began operations in January of this year, and is making decisions on product offerings, pricing,...
The following system of linear equations is called underdetermined because there are more variables than equations. x2x 3x3 = 4 2x1x2 + 4x3 = -3 Similarly, the following system is overdetermined...
Write a 2000-word Reflection paper on " Country Managers Simulation by considering the following points: Countries chosen during the simulation were Argentina and Brazil: 1. Explain why you did what...
The North Shore News charges $19.50 for a two-line automotive ad. Each additional line costs $7. How much does a six-line ad cost?
AB CORPORATION ISSUED THE FOLLOWING 850 COMMON STOCKS PAR VALUE P100 750 PARTICIPATING PREFERRED STOCKS PAR VALUE P100 AT 3% AB CORPORATION DECLARED P100,000.00 DIVIDEND IN 2022.
Solve the inequality in terms of intervals and illustrate the solution set on the real number line. -5 < 3 - 2x < 9
Solve the inequality in terms of intervals and illustrate the solution set on the real number line. 4x , 2x + 1 < 3x + 2
Solve the inequality in terms of intervals and illustrate the solution set on the real number line. 2x - 3 , x + 4 , 3x - 2
Which of the following statements is true? Financial measures tend to be lag indicators that report on the results of past actions. LA profit center is responsible for generating revenue, but it is...
Andretti Company has a single product called a Dak. The company normally produces and sells 8 0 , 0 0 0 Daks each year at a selling price of $ 5 6 per unit. The company s unit costs at this level of...
What are the major characteristics of plant assets? Choose one category of PP&E (land, land improvements, buildings or equipment) and describe the costs that may be capitalized with this asset.

Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit

Question:

Step by Step Answer:

a Note that Pn 50n 5n 2 100 so Pn 50 n which is zero when n 50 It ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions