SOLUTION: A company’s revenue is modeled by 𝑅(π‘₯) = 50π‘₯ βˆ’200, where x is the number of units sold. 1. Graph 𝑅(π‘₯). Label the axes in context. Show the scale used for bot

Algebra ->  Linear-equations -> SOLUTION: A company’s revenue is modeled by 𝑅(π‘₯) = 50π‘₯ βˆ’200, where x is the number of units sold. 1. Graph 𝑅(π‘₯). Label the axes in context. Show the scale used for bot      Log On


   

Question 1210283: A company’s revenue is modeled by 𝑅(π‘₯) = 50π‘₯ βˆ’200, where x is the number of units sold.
1. Graph 𝑅(π‘₯). Label the axes in context. Show the
scale used for both the x- and y-axis.
2. Find R(0) and interpret this value in context.
3. Determine how many units must be sold for
revenue to break even (𝑅(π‘₯)=0).
answer: 1. x-intercept (0,-200) y-intercept (4,0)
2 R(0)= -200
3. [R(x) = 0]; X=4 (units to be sold)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
.
1. Graph 𝑅(π‘₯). Label the axes in context. Show the
scale used for both the x- and y-axis.



2. Find R(0) and interpret this value in context.

The point R(0) = (0,-200) represents the fact that we start out $200 "in the
hole" because in the beginning we haven't sold any units (0 units sold).

3. Determine how many units must be sold for
revenue to break even (𝑅(π‘₯)=0).

The "break-even" point is the x-intercept, when the revenue R(x) = 0.

We set R(x) = 0
R(x) = 50x-200 = 0
           50x = 200
             x = 4

So the break-even point is (4,0).  It's when we've sold enough units to get us
"out of the hole", even though we haven't made a profit yet.  To break-even, we
need to have sold 4 units.

answer: 1. x-intercept (0,-200) y-intercept (4,0)
2 R(0)= -200
3. [R(x) = 0]; X=4 (units to be sold)

Edwin