Question

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.

Answer 1

9514 1404 393

Answer:

see attached

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)