Kool Klothes has determined that the revenue function for selling x thousand pairs of shorts is R(x) = -5x^2 + 21x. The cost functiom C(x) = 2x + 10 is the cost of producing the shorts.
A) How many pairs of shorts must the company sell in order to break even. Do i use the quadratic formula... when i do im not getting the right answer
2 answers
I get 0.469 but i don't think it is right
Break even is a point where the costs is equal to your profits.
Thus, we just equate the two functions:
R(x) = C(x)
-5x^2 + 21x = 2x + 10
-5x^2 + 21x - 2x - 10 = 0
-5x^2 + 19x - 10 = 0
5x^2 - 19x + 10 = 0
Use the quadratic formula:
x = ( -b +/- sqrt(b^2 - 4ac) ) / 2a
You should get
x = 3.16886
x = 0.6311
Get the smaller, x = 0.6311. since it's asking for the number of pairs of shorts, we multiply the value of x by 1000 (because x is in thousands of pairs units), and also note that the number of pair of shorts should be an integer.
not also sure about this, but hope this helps~ `u`
Thus, we just equate the two functions:
R(x) = C(x)
-5x^2 + 21x = 2x + 10
-5x^2 + 21x - 2x - 10 = 0
-5x^2 + 19x - 10 = 0
5x^2 - 19x + 10 = 0
Use the quadratic formula:
x = ( -b +/- sqrt(b^2 - 4ac) ) / 2a
You should get
x = 3.16886
x = 0.6311
Get the smaller, x = 0.6311. since it's asking for the number of pairs of shorts, we multiply the value of x by 1000 (because x is in thousands of pairs units), and also note that the number of pair of shorts should be an integer.
not also sure about this, but hope this helps~ `u`
1 answer