# 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
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

## 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.

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?