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A company sells lanterns. The company's fixed and variable costs are modeled by the function C(x)=2.6x+10000. Their revenue is modeled by the function R(x)=3.2x. If x represents the number of lanterns, how many do they have to sell to break even? Round your answer up to the nearest whole number, and do not include units.

Respuesta :

sqdancefan

Answer:

16,667

Step-by-step explanation:

The company will "break even" when revenue is equal to cost.

R(x) = C(x)

3.2x = 2.6x + 10000 . . . . substitute the given expressions for R(x) and C(x)

0.6x = 10000 . . . . . . . . . . subtract 2.6x

x = 16,666 2/3 . . . . . . . . . divide by 0.6

The company must sell 16,667 lanterns to break even.

littledudefromacross

Answer:

Answer: 16,667