SOLUTION: A store owner estimates that by charging "x" dollars each for a certain lamp, he can sell "10-x" lamps each week. What price will yield maximum revenue?

Algebra.Com
Question 1157135: A store owner estimates that by charging "x" dollars each for a certain lamp, he can sell "10-x" lamps each week. What price will yield maximum revenue?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The revenue is R(x) = x*(10-x).


It is a parabola opened downward, with x-intercepts at 0 and 10.


The maximum is achieved  at x= 5, exactly half way between x-intercepts.


So, the price of $5 per lamp will provide maximum revenue.    ANSWER

Solved.


RELATED QUESTIONS

In one day, a store sold 22 lamps. The larger lamps sell for $20 and the smaller lamps... (answered by mananth)
A retail store can sell 20 hard disk drives per week at a price of $400 each. The manager (answered by ewatrrr)
A video store sells about 100 DVDs a week at a price of $21 each. The owner estimates... (answered by josmiceli)
A manufacturer charges $24 for stereo headphones and has been selling about 1000 a week.... (answered by ankor@dixie-net.com)
Vinnie owns a t-shirt shop. He has determined that he can sell 150 t-shirts for $10 each. (answered by josmiceli)
A store has an average of 5000 customers per week and sells chicken for $10 per... (answered by ankor@dixie-net.com)
Vinnie owns a t-shirt shop. He has determined that he can sell 150 t-shirts for $10 each. (answered by richwmiller,ikleyn)
callenge:hard A shoe maker sells a new model of athletic shoe for $90. On average, the... (answered by DrBeeee)
The average nightly attendance at a certain movie theater is 100 when the ticket price is (answered by ewatrrr)