Algebra

The price
p
and the quantity
x
sold of a small​ flat-screen television set obeys the demand equation below.
​a) How much should be charged for the television set if there are
80
television sets in​ stock?
​b) What quantity
x
will maximize​ revenue? What is the maximum​ revenue?
​c) What price should be charged in order to maximize​ revenue?
p=-.16x+320

  1. 👍 0
  2. 👎 0
  3. 👁 319
asked by Janice
  1. revenue is price * quantity, so

    R(x) = x*p(x) = x(-.16x+320)
    = -.16x^2 + 320x

    Now just find the vertex of that parabola to locate maximum revenue.

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. microeconomics

    The cost of producing flat-screen TVs has fallen over the past decade. Let’s consider some implications of this fact. A.) Draw a supply-and-demand diagram to show the effect of fallen production costs on the price and quantity

    asked by Bill on June 9, 2013
  2. Math

    A flat screen television is sized depending on the length of the diagonal (ex: a 40 inch flat screen has a 40 inch diagonal ). If a 32 inch television has a width that is 5 inches longer than its length. Determine the dimensions

    asked by Tara on November 24, 2013
  3. Gr. 8 Math- angles

    Kendra has recently purchased a 27-inch flat screen television. If the width of the screen is 22 inches, then what is the height of the television? Round to one decimal place.

    asked by Sinead on December 11, 2015
  4. Maths

    If the price of a television set is #Y and the price of a video camera is one-third the price of a television set.If a customer pays N28000 for the items,find the price of a television set

    asked by Maimunat on April 24, 2017
  5. Algebra

    The price p and x the quantity of a certain product sold obeys and the demand equation p= -1/5x+100 where 0< x

    asked by Anonymous on April 8, 2019
  6. Economics

    We're looking at the market for cat food. When the price is $10, the quantity sold is 1000 bags. When the price drops 10%, the quantity sold increases 30%. Calculate the price elasticity of demand. (Answer in format X.XX, round to

    asked by Lindsay on February 25, 2013
  7. Maths

    The length and width of a rectangular projector screen in a small theatre is 200% more than the length and width of a television screen in the same room. How much bigger is the area of the screen than that of the television? Give

    asked by Fred on February 25, 2018
  8. Economics

    A market (or industry) demand curve is described by Q = 50 – 0.5 P The firm’s cost function is TC = 10 + 2 Q a. Find the profit-maximizing quantity and price. b. If the industry is regulated in a way that requires it to set P

    asked by hiten on November 29, 2010
  9. maths-discount help asap

    a shop kepper mark a television set for a sale of $36,000 so as to make a profit of 20% on the cost price,but during a specail sale period the television was sold as 5% of the marked price what is the percentage profit show step

    asked by maths dude on June 5, 2016
  10. Algebra

    Knowing that television sets screen size refers to the diagonal of the screen if a 35 in set also has the width of 28 inches what is the height of this set?

    asked by radioman on May 4, 2009

More Similar Questions