What price should you set to maximize revenue

Assignment Help Mathematics
Reference no: EM131003885

You just opened your new bagel shop. Your financial advisors studied the market and gave you the following equation for supply as a function of price:

S(p) = 60p

and the following equation for the demand as a function of price:

D(p) = 120 - 3p.

You wish to determine your revenue as a function of price. To get the revenue, you multiply the price per unit by the quantity of bagels sold. You use the demand function to estimate how many bagels you can sell.

a. What is the formula for the revenue function? Remember: You do not have to have something in front of all these equal signs, you can add more if you need to.

b. What price should you set to maximize revenue?

c. Consider the following profit function: Π(q) = -q2 + 6q + 100

For what values of q will you breakeven?

Reference no: EM131003885

Questions Cloud

Find the marginal cost and monthly fixed cost : Lumyn Electronics is a family owned business. The company sold 128 TV remote controls in July and incurred a total cost of $1,700. In November they sold 248 TV remote controls and incurred a total cost of $3,500. Based on this information, find th..
What is the separation between the slits : A laser with a wavelength of 650 nm passes through a double slit. A pattern is observed on a wall that is 1.5 meters away from the slits. The spacing between 10 bright fringes is measured to be 3 cm. What is the separation between the slits? Show ..
Find an equation for the plane tangent to the surface : Use the methods of this section to find an equation for the plane tangent to the surface defined by the equation 3xy + z2 - 4 = 0 at the point (1, 1, 1).
What is the average power of each laser pulse : A LASIK vision correction system uses a laser that emits 10 ns -long pulses of light, each with 2.5 mJ of energy. The laser is focused to a 0.75 mm -diameter circle. What is the average power of each laser pulse?
What price should you set to maximize revenue : What price should you set to maximize revenue? Consider the following profit function: Π(q) = -q2 + 6q + 100. For what values of q will you breakeven?
Encourage students to explore various hrm theories : Critically examine the changing focus of staffing policy, using practical illustrations, to demonstrate how and why the focus on staffing practice has changed. Examples can be drawn from your own experience, workplace and academic literature.
Find the acceleration of the vehicle : A launch vehicle thrusts at an angle of 37o above the local horizontal. The vehicle's mass is 200,000 kg and its weight is 2 x 10^6 N. If the engines are providing 3 x 10^6 N of force, find the acceleration of the vehicle?
How much heat is conducted : How much heat is conducted in 24 hours through a pane of glass 15 ft^2 in area and 3/16 inch thick if the surface temperatures are 60 degree F and 10 degree F?
Compute the derivative using the chain rule : Compute (d/dt) f(c→(t)) using the Chain Rule. Compute (d/dt) f(c→(t)) without using the Chain Rule, but instead first writing the composition f(c→(t)) as a function of t, then differentiating with respect to t in the usual Calc I way.

Reviews

Write a Review

Mathematics Questions & Answers

  Solve queuing analysis- cost comparisons

Queuing Analysis: Cost comparisons, All trucks traveling on a major highway must stop at a weigh station. Trucks arrive at a rate of 200 per 8-hour day. The station can currently weigh on average 220 trucks per 8-hour day.

  What is the least number of cups of lemonade they need

Carolyn and kim are selling lemonade this fall. It costs $0.10 to make each cup of lemonade. They are going to sell each cup of lemonade for $0.30. What is the least number of cups of lemonade they need to sell in order to collect $10.00 more than..

  What is the maximum possible revenue

Suppose one manufacturer sells both of these products. How should the manufacturer set prices to earn the maximum possible revenue? What is the maximum possible revenue?

  By how much will he have reduced the principal

What will the quarterly payments be? At the end of the first year, how much interest will Mr. Sullivan have paid? By how much will he have reduced the principal?

  Writ a polynomial function that represents the possible area

Writ a polynomial function that represents the possible area of the rectangular design in terms of the with of the border.

  Find the volume of the solid obtained by rotating the region

Let A be the bounded region enclosed by the graphs of f(x)=x and g(x)=x^3.

  What is the balance after t years

What is the balance at the end of the first year? (Four quarters) v. What is the balance after t years?

  Find the largest possible volume of the box

If 8.5 by 11 paper is available to make a box with a square base and an open top, find the largest possible volume of the box.

  Find the edges of the three cubes

ubes of a metal whose edges are in the ratio 3:4:5 are melted and converted into a single cube whose diagonal is 12root3 cm. find the edges of the three cubes.

  Find the population after five years

A town of population 25,000 grows at a constant rate of 1500 people every year. Find the population after 5 years

  Sate the weight of bags of fertilizer normally distributed

The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds.

  Application of differential calculus in economics

Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd