Suppose that the price p (in dollars) of a product is given by the demand function where

Question:

Suppose that the price p (in dollars) of a product is given by the demand function

where x represents the quantity demanded. If the daily demand is decreasing at a rate of 20 units per day, at what rate is the price changing when the demand is 20 units?

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

Step by Step Answer:

Related Book For book-img-for-question

Mathematical Applications for the Management Life and Social Sciences

ISBN: 978-1305108042

11th edition

Authors: Ronald J. Harshbarger, James J. Reynolds

See More Books

Question Posted: Feb 09, 2018 07:07 AM

See More Questions

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to E = 10,000p - 100p2 (a) Graph this equation with a graphing calculator and the...
Suppose that the demand for a product depends on the price p according to where p is in dollars. Find and explain the meaning of the instantaneous rate of change of demand with respect to price when...
Suppose the cost function for x units of a product is given by C(x) = 40,000 + x2 dollars. Find the average cost over the first 150 units.
. Suppose that the city of New York issues bonds to raise money to pay for a new tunnel linking New Jersey and Manhattan. An investor named Susan buys one of the bonds on the same day that the city...
An airplane travels 3100 km at a speed of 790 km/h, and then encounters a tailwind that boosts its speed to 990 km/h for the next 2800 km. What was the total time for the trip? What was the average...
A uniform slender rod AB of mass m and length L has a vertical velocity of magnitude v1 and no angular velocity when it strikes a rigid frictionless support at point C. Knowing that h = L/4 and...
The elements with known properties can be classified as metals (57 elements), metalloids (7 elements), halogens (5 elements), noble gases (6 elements), rare earth elements (30 elements), and other...
D'Eon Corporation reports the following January 1, 2017 balances for its defined benefit pension plan, which it accounts for under IFRS: plan assets, $460,000; defined benefit obligation, $460,000....
Bart, LLC, has a 5 year bond outstanding coupon rate of 7%, paid semiannually, and is currently priced at par., which is 1000$. Stein LLC has an identical bond except that it matures in 15 years,. If...
In 2010 Casey made a taxable gift of $5 million to both Stephanie and Linda (a total of $10 million in taxable gifts). Calculate the amount of gift tax due this year and Casey's unused exemption...
Suppose that the monthly revenue and cost (in dollars) for x units of a product are At what rate per month is the profit changing if the number of units produced and sold is 200 and is increasing at...
The supply function for a product is given by p = 40 + 100 2x + 9, where x is the number of units supplied and p is the price in dollars. If the price is increasing at a rate of $1 per month, at what...
For the following exercises, solve the system by Gaussian elimination. 3x+4y=12 -6x - 8y=-24
Which patterns are applied for structural purpose?
What are class diagram and object diagram?
List down the steps in identifying and developing a class diagram for a given application domain.
How do we achieve generalization and specialization?
The second of the two steps in building the sequence diagram is to (a) define how the system uses the problem domain resources (b) define how the actor uses the system resources (c) define how the...
Describe how an individuals net worth is determined.
3.16. For a system with non-identical service rates (see Sect. 3.5) and a limit of N jobs in the system (Eq. 3.13), obtain an expression for the mean service time per job, E[Ts], as a function of the...
(a) Suppose that f is differentiable on R and has two roots. Show that has at least one root. (b) Suppose f is twice differentiable on R and has three roots. Show that has at least one real root. (c)...
If f (1) = 10 and f(x) > 2 for 1 < x < 4, how small can f (4) possibly be?
Suppose that 3 < f(x) < 5 for all values of x. Show that 18 < f(*) f(2) < 30.
Draw the shear diagram for the beam. Set P = 600 lb, a = 5 ft, b = 7 ft. Draw the moment diagram for the beam.
Ahmed, Bassem and Jamal are partners in Tadamon Company who share profits and losses at a ratio of 2 : 2 : 4 respectively. On 1 / 1 / 2 0 2 2 , it was decided to liquidate the company, and the...
Draw the shear diagram for the beam. Follow the sign convention. Draw the moment diagram for the beam. Follow the sign convention.

Suppose that the price p (in dollars) of a product is given by the demand function where

Question:

1000 - 10х х 400- х

Step by Step Answer:

P dp dt 100010x 400x then ...View the full answer

Mathematical Applications for the Management Life and Social Sciences

Students also viewed these Calculus questions