SOLUTION: This section in my book is addition and subtraction of polynomials.. The Question is, If the cost C to produce x items is C=x exponent 2+100x+500 and the revenue R due to selling x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This section in my book is addition and subtraction of polynomials.. The Question is, If the cost C to produce x items is C=x exponent 2+100x+500 and the revenue R due to selling x      Log On


   

Question 577674: This section in my book is addition and subtraction of polynomials.. The Question is, If the cost C to produce x items is C=x exponent 2+100x+500 and the revenue R due to selling x items is R=300x find the profit P.
I am totally lost on the were to begin on the promblem.
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Revenue - cost = the profit
R=300x
C= x^2+100x+500
300x- (x^2+100x+500)
300x-x^2-100x-500
add up like terms
-x^2+200x-500 is the profit






Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The profit, P, would be the Revenue, R, minus the Cost, C.
+P+=+R+-+C+
given:
+C+=+x%5E2+%2B+100x+%2B+500+
+R+=+300x+
+R+-+C+=+300x+-+%28x%5E2+%2B+100x+%2B+500+%29+
and, since +P+=+R+-+C+,
+P+=+300x+-+x%5E2+-+100x+-+500+
+P+=+-x%5E2+%2B+200x+-+500+
where x is the number of items produced.
You can't really see what's going on until you
plot the function. Anywhere on the plot where
P is negative means that +C+ exceeds +R+
and the company will soon go out of business.
here's the plot. +P+ is the vertical axis,
+x+ is on the horizontal.
+graph%28+400%2C+400%2C+-250%2C+250%2C+-5000%2C+12000%2C++-+x%5E2+%2B+200x+-+500+%29+