SOLUTION: P(x)= - 0.08x^2 + 60x - 750 how many units will give a break even point for this product? I'm attempting to use the quadratic equation to solve however I am stuck.
Question 332126: P(x)= - 0.08x^2 + 60x - 750 how many units will give a break even point for this product? I'm attempting to use the quadratic equation to solve however I am stuck. Found 2 solutions by ankor@dixie-net.com, josmiceli:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! P(x)= - 0.08x^2 + 60x - 750 how many units will give a break even point for this product?
:
Break-even point is when profit is 0, therefore
-.08x^2 + 60x - 750 = 0
using the quadratic formula;
in this problem: a=-.08. b=60, c=-750
:
:
Two solutions, but we want the lowest value here
x =
x = +12.5, ~ 13 units to break even (a slight profit, integer units required)
;
:
Check in the original equation
-.08(13^2) + 60(13) - 750 = +$43.52, a slight profit
You can put this solution on YOUR website! If is
Profit as a function of units, then the break
even point is where there is zero Profit.
Multiply both sides by
You can complete the square also
Multiply both sides by
Take square root of both sides
and
There is a break-even point after 12 units and another
after 737 units
Here's a plot:
