FFind the profit function if cost and revenue are given by C(x) = 150 +3.7x and R(x) = 3x -0.06x²The profit function is P(x)=

Answered: Image /qna-images/answer/0a2e0b27-9acd-4b34-bee3-c5e4b96bb864.jpg

Answered: Find the profit function if cost and…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.CR: Chapter Review

Problem 80E

See similar textbooks

Similar questions

Suppose that the price per unit in dollars ofa cell phone production is modeled by p=450.0125x, where x is in thousands ofphones produced, and the revenue represented by thousands of dollars is R=xp. Find theproduction level that will maximize revenue.
Maximum Profit The profit P (in dollars) generated by selling x units of a certain commodity ¡s given by P(x)=1500+12x0.0004x2 What is the maximum profit, and how many units must be sold to generate it?
Maximum Profit The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model P=230+20x0.5x2. What expenditure for advertising yields a maximum profit?
Size of High Schools The farm population has declined dramatically in the years since World War II, and with that decline, rural school districts have been faced with consolidating in order to be economically efficient. One researcher studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 in enrollment. He considered the cost per pupil as a function of the number of pupils enrolled in the high school, and he found the approximate formula C=7430.402n+0.00012n2 where n is the number of pupils enrolled and C is the cost, in dollars, per pupil. a. Make a graph of C versus n. b. What enrollment size gives a minimum per-pupil cost? c. If a high school had an enrollment of 1200, how much in per-pupil cost would be saved by increasing enrollment to the optimal size found in part b?
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?
Profit A wholesaler sells graphing calculators. For an order of x calculators his total cost in dollars is C=50+30x0.1x2 and his total revenue is R=50x0.05x2 a Find the profit P on an order of x calculators. b Find the profit on an order of 10 calculators and on an order of 20 calculators.
When hired at a new job selling jewelry, you aregiven two pay options: • Option A: Base salary of $17,000 a year with acommission of 12% of your sales • Option B: Base salary of $20,000 a year with acommission of 5% of your sales How much jewelry would you need to sell for optionA to produce a larger income?
Revenue A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=80x0.4x2, where the revenue R(x) is measured in dollars. What is the maximum revenue? and how many units should be manufactured to obtain this maximum?
When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?
Decomposing Functions To join a book club, you pay an initial fee and then a fixed price each month for a book. The total cost in dollars of joining the club and buying n books is given by C=30+17n. What is the initial fee? What is the cost of each book after you are a club member?
Finding hotel rates A 300-room hotel is two-thirds filled when the nightly room rate is 90. Experience has shown that each 5 increase in cost results in 10 fewer occupied rooms. Find the nightly rate that will maximize income.

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Find the profit function if cost and revenue are given by C(x) = 150 +3.7x and R(x)= 3x -0.06x²