The break even point is when profit is equal to zero, or in this case when p(x)=0
4x^2-28x+40=0
4(x^2-7x+10)=0
4(x^2-2x-5x+10)=0
4(x(x-2)-5(x-2))=0
4(x-5)(x-2)=0
So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
x = 8
Step-by-step explanation:
30x = (60)(40)
30x = 240 Multiply 60 and 40
x = 8 Divide 30 from both sides
