A beekeeper's hives are making honey at a constant rate. The profit from honey can berepresented by the equationP(t) = -16t2 + 2050t + 150, where t is the time in days and P(t) is the profit the beekeeperreceives. After how many days should she harvest her honey to maximize profit?15020504212100O 64Okay

A beekeeper's hives are making honey at a constant rate. The profit from honey can be represented by…

Answered: A beekeeper's hives are making honey at…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.1: Quardratic Functions

Problem 75SE: A farmer finds that if she plants 75 trees per acre,each tree will yield 20 bushels of fruit. She...

See similar textbooks

Similar questions

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?
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.
A farmer finds that if she plants 75 trees per acre,each tree will yield 20 bushels of fruit. She estimatesthat for each additional tree planted per acre, theyield of each tree will decrease by 3 bushels. Howmany trees should she plant per acre to maximizeher harvest?
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $14,000 a year with acommission of 10% of your sales • Option B: Base salary of $19,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?
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?
The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
A basic cellular package costs $20/mo. for 60 min of calling, with an additional charge of$0.30/min beyond that time. The cost formula would, be S C=20+.30(x60) . If you have to keep your bill lower than $50, what is the maximum calling minutes you can use?
Max's total profit (in dollars) from manufacturing and selling x units of their model M loudspeaker system is given by P(x) = - 0.03x ^ 2 + 300x - 200, 000(0 <= x <= 20, 000) How many units of the loudspeaker system must Max produce to maximize its profits?
On a college campus of 5,000 students, one student returns from vacation with a contagious flu virus. The spread of the virus is modeled by: y=5000/(1+4999e-0.8t) t is greater than or equal to 0 Where y is the total number infected after t days. The college will cancel classes when 40% or more of the students are infected. After how many days will the college cancel classes?
5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) = 5x. When does the company begin to turn a profit?

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Algebra for College Students

Algebra

ISBN:

9781285195780

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Algebra for College Students

Algebra

ISBN:

9781285195780

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS