The marginal price dp/dx at x units of demand per week is proportional to the price p.

Question:

The marginal price dp/dx at x units of demand per week is proportional to the price p. There is no weekly demand at a price of $1000 per unit [p(0) = 1000], and there is a weekly demand of 10 units at a price of $367.88 per unit [p(10) = 367.88].

(A) Find the price–demand equation.

(B) At a demand of 20 units per week, what is the price?

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

Step by Step Answer:

Related Book For book-img-for-question

College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

See More Books

Question Posted: Apr 17, 2022 11:51 PM

See More Questions

The marginal price dp/dx at x units of supply per day is proportional to the price p. There is no supply at a price of $10 per unit [p(0)=10], and there is a daily supply of 50 units at a price of...
Find b so 10 that in x dx = 0?
Weekly demand at Hot Pizza are as follows: Week Demand (S) 1........................................108 2........................................116 3........................................118...
Employee earnings records for Redding Company reveal the following gross earnings for four employees through the pay period of December 15. D. Edwards ........... $83,500 A. Seligman...
A person is selling some property and wishes to obtain payment partially in cash with the remainder in the form of a carryback note receivable. a. Why might the seller wish to increase the sales...
Which of the following could be considered a monopoly? a. Kate Hudson (an actress) b. DeBeers diamond company c. The only doctor in a small town d. Ford Motor Company
Why are information security and privacy important considerations in the design, development, and maintenance of an HRIS?
The counterpart to immobile factors on the supply side would be lack of substitution on the demand side. Imagine an economy where consumers always buy goods in rigid proportionsfor example, one yard...
Gold Inc invests $10,000 today in a mutual fund. Gold anticipates leaving this fund alone for 12 years. $ The fund is increased each year-end by specified compound interest rates as follows: years 1...
Kubby NV specializes in leasing large storage units to other businesses. Kubby entered a contract to lease a storage unit to Riskey Ltd. for 4 years when that particular storage unit had a remaining...
A defense contractor is starting production on a new missile control system. On the basis of data collected during assembly of the first 16 control systems, the production manager obtained the...
A company is trying to expose a new product to as many people as possible through online ads. Suppose that the rate of exposure to new people is proportional to the number of those who have not seen...
In Exercises 1 through 18, differentiate the given function. +1 x - t + 1 - 2x X || h(x)
A 10-year T-bond has a yield of 6%. A 10-year corporate bond with a rating of AA has a yield of 7.5%. If the corporate bond has excellent liquidity, what is an estimate of the corporate bonds default...
A bond that matures in 18 years has a par value of $1,000, an annual coupon of 10%, and a market interest rate of 7%. What is its price?
Consider the air-standard Otto cycle described in Problem 9.94 operating with a compression ratio of 10 (= V max /V min ). The air just prior to compression is at 70 F and 14.7 psia. The maximum...
If the interest rates on 1-, 5-, 20-, and 30-year bonds are (respectively) 4%, 5%, 6%, and 7%, then how would you describe the yield curve? How would you describe it if the rates were reversed?
A bond has a 25-year maturity, an 8% annual coupon paid semiannually, and a face value of $1,000. The going nominal annual interest rate (r d ) is 6%. What is the bonds price?
An x-ray diffraction experiment using 16-keV x-rays is repeated using electrons instead of x-rays. What should the kinetic energy of the electrons be in order to produce the same diffraction pattern...
Aztec Furnishings makes hand-crafted furniture for sale in its retail stores. The furniture maker has recently installed a new assembly process, including a new sander and polisher. With this new...
The joint distribution of the continuous random variables X, Y, and Z is constant over the region x 2 + y 2 1, 0 < z < 4. Determine the following: (a) P(X 2 + Y 2 0.5) (b) P(X 2 + Y 2 0.5, Z <2)...
Suppose that X and Y have a bivariate normal distribution with X = 4, Y = 1, /, Y = 4, and = 0.2. Draw a rough contour plot of the joint probability density function.
If determine E(X), E(Y), V(X), V(Y), and Ï by reorganizing the parameters in the joint probability density function. w (x, y) = 10.72 (x-1) - 1.6(x 1)(y 2) + (y 2)} | exp 1.2
For each ordered pair, determine -6x+7y=2 7x-4y=6 a solution to the system of equations.
Review the meaning of the concepts or terms given in Key Terms and Concepts. Distinguish between a production department and a service department. Distinguish between a direct cost and an indirect...
What would you like the members of your learning community to know about your global health interests, perspectives, and life experiences? How will you prepare to listen and learn from others? Why...

The marginal price dp/dx at x units of demand per week is proportional to the price p.

Question:

Step by Step Answer:

A To find the pricedemand equation we need to solve the differential equation dpdx kp where ...View the full answer

College Mathematics For Business Economics, Life Sciences, And Social Sciences

Students also viewed these Mathematics questions