Calculus

The demand function for the Luminar desk lamp is given by the following function where x is the quantity demanded in thousands and p is the unit price in dollars.
p = f(x) = -0.1x2 - 0.3x + 39
(a) Find f '(x).
f '(x) =

(b) What is the rate of change of the unit price when the quantity demanded is 3000 units (x = 3)?
$ per 1000 lamps

What is the unit price at that level of demand?
$

  1. 👍 0
  2. 👎 2
  3. 👁 1,937
  1. 654

    1. 👍 0
    2. 👎 7

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The supply function for a product is 2p-q-10=0, while the the demand function for the same product is (p+10)(q+30) = 7200. Find the market equilibrium point. .. I think q=656.6667 and p= 333.33335 I think D must = S... but I don't

  2. math

    A woman 5 ft tall is standing near a street lamp that is 12 ft tall. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.

  3. Calculus

    The demand function for the Luminar desk lamp is given by p = f(x) = −0.1x^2 − 0.7x + 20 where x is the quantity demanded in thousands and p is the unit price in dollars. (a) Find f '(x). (b) What is the rate of change of the

  4. Calculus

    A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π/7. The graph of the function does not show a

  1. calculus

    (1 pt) A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 15 dollars, the company sells 132 units per week. When the price is 27 dollars, the number of DVDs

  2. Math

    If the demand function of the monopolist is {p=200-0.5x} and its cost function is {C=100+5x+7x^2}. Value of 'x' , price and the amount of profit for which profit maximizes are:

  3. calculus

    (1 pt) A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 15 dollars, the company sells 132 units per week. When the price is 27 dollars, the number of DVDs

  4. Supply and Demand

    50) the monthly demand and supply functions for the Luminar desk lamp are given by p=d(x)= -1.1x^2 + 1.5x + 40 p= s(x)= 0.1x^2 + 0.5x + 15 respectively, where p is measured in dollars and x in units of a thousand. Find the

  1. Business Math

    The supply function for a product is 2p − q − 50 = 0, while the demand function for the same product is (p + 10)(q + 30) = 9600. Find the market equilibrium point.

  2. Algebra

    You operate a gaming Web site, where users must pay a small fee to log on. When you charged $3 the demand was 520 log-ons per month. When you lowered the price to $2.50, the demand increased to 780 log-ons per month. (a) Construct

  3. ECONOMICS

    Q2) Given a firm’s demand function, P = 24 - 0.5Q and the average cost function, AC = Q2 – 8Q + 36 + 3/Q, calculate the level of output Q which: a) maximizes total revenue b) maximizes profits

  4. Math Demand Functions

    Given the function q=D(x)=k/x^n where k is a positive constant and n is an integer greater than 0. How would you find the elasticity of the demand function After you find the der. what do you do?

You can view more similar questions or ask a new question.