SOLUTION: The revenue achieved by selling x graphing calculators is figured to be
x(45-0.5x)dollars. The cost of each calculator is $25. How many graphing calculators must be sold to make
Algebra.Com
Question 333541: The revenue achieved by selling x graphing calculators is figured to be
x(45-0.5x)dollars. The cost of each calculator is $25. How many graphing calculators must be sold to make a profit(revenue-cost) of at least 187.50?
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
let r=revenue
let c=cost
let p=profit
let x=number of graphing calculators
---
given
c=25x
simplify p:
---
need to find x, such that p>187.50
==
(subtract 187.50 from both sides
(multiply both sides by 2)
--
solve via quadratic solution for x
or
x=15 or 25 but you need to check for "valid" values
---
draw a line
mark the points 15 and 25 on this line
you have created 3 number segments to check for validity of the x values
1. x values from -infinity to 15
2. x values from 15 to 25
3. x values from 25 to + infinity
--
choose a value from each segment, such as 0 for the first segment, 20 for the second segment, and 30 for the third segment.
test these chosen x values against
to determine the validity of each segment.
--
you will find that the line segment for x between 15 to 25 that make the profit positive, and that is your answer (between 15 to 25 calculators will yield a proift greater than 187.50)
RELATED QUESTIONS
The revenue achieved by selling x graphing calculators is figured to be x(32-0.2x)... (answered by richwmiller)
The revenue achieved by selling x graphing calculators is figured to be x(43-0.2x)... (answered by lynnlo)
The revenue achieved by selling x graphing calculators is figured to be x(32 - 0.2x)... (answered by rapaljer)
The revenue achieved by selling x graphing calculators is figured to be The cost of each... (answered by josgarithmetic)
The monthly revenue R achieved by selling x wristwatches is figured to be... (answered by Boreal)
Hello I need help setting up the equation for this word problem.
The monthly revenue... (answered by ankor@dixie-net.com)
The monthly revenue achieved by selling x boxes of candy is calculated to be
$... (answered by josmiceli)
the monthly revenue achieved by selling x boxes of candy is calculated to be $... (answered by venugopalramana)
The cost y, in dollars, to produce graphing calculators is given by the equation y = 45x... (answered by ramkikk66)