To break even the company must sell 15 charm brackets, given the cost function of C(x) = 180+8x and the revenue function of r(x) =20x.
The break-even point is the sales point at which the total costs equal the total revenue.
At this break-even point, the entity does not incur any loss or earn any profit.
Total cost, C(x) = 180+8x
Revenue, r(x) =20x
At break-even point, C(x) = r(x)
= 180+8x =20x
= 180 = 20x - 8x
= 180 = 12x
= 15 (180/12) = x
x = 15 units
Thus, to break even the company must sell 15 charm brackets.
Learn more about the break-even point at https://brainly.com/question/24233845
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