Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by
where x is the number of produced products.
The revenue function is
With both equations, we can know the profit function as
For the firm to have positive profits, it has to produce x articles with the condition
Or, equivalently
Solving for x
Thus
This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production