Posted by mrsweetlaeh on Tuesday, March 27, 2012 at 10:40pm.
a market researcher predicted that the profit function for the first year of a new business would be p(x)= 0.3x^2 + 3x 15, where x is based on the number of items produced. will it be possible for the business to break even in its first year?
thanks

grade 11 math  Reiny, Tuesday, March 27, 2012 at 11:19pm
to break even, p(x) = 0
.3x^2 + 3x  15 = 0
times 10
3x^2  30x + 150=0
x^2  10x + 50 = 0
x = (10 ± √100)/2
this has no real solution, the company will never make a profit. 
grade 11 math  mrsweetlaeh, Tuesday, March 27, 2012 at 11:25pm
Where did the "times 10" come from?

grade 11 math  MAT, Sunday, April 1, 2012 at 8:48pm
in order to break even he would have to produce
o.3x^2+3x15 factor use quadratic formula
you get two answers
5+the square root of 27
5the square root of 27
because the second answer gives you a negative (you cant produce a negative amount of product) use the first one
10.19615242 is equivalent to x
so unless you can produce and sell .19615242 of a product which i don't know depending on the industry you just might be able, he cant break even.