A small company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation C = 20/3x + 50band the revenue R, in dollars, made by selling x items is given by the equation R = 10x . The break-even point is the point where the cost and revenue equations intersect.

Graph the cost and revenue equations on the xy-coordinate plane provided. Select the "Line" tool. Plot two points, then a line will connect the points.

9514 1404 393

  see attached

Step-by-step explanation:

The break-even point is on both curves. The y-intercept can be used for the other point in each case.

The break-even point is where cost and revenue are the same:

  20/3x +50 = 10x

  50 = 10/3x . . . . . . . . subtract 20/3x

  15 = x . . . . . multiply by 3/10

  r = c = 10(15) = 150 . . . . for x = 10

Two points you can use for graphing the lines are ...

  cost: (0, 50) and (15, 150)

  revenue: (0, 0) and (15, 150)

1. 34

2. 268

3. x=14.4

step-by-step explanation:

-2

7 - 9 = -2

reversed:

-2 + 9 = 7