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Finding a Break-Even Point

Avg difficulty 2.5

A company sells sports helmets. The company incurs a one-time fixed cost for $250,000. Each helmet costs $120 to produce, and sells for $140.

  1. ⓐ Find the cost function, C,C , to produce xx helmets, in dollars.
  2. ⓑ Find the revenue function, R,R , from the sales of xx helmets, in dollars.
  3. ⓒ Find the break-even point, the point of intersection of the two graphs CC and R.R .

OpenStax Precalculus 2e, 2.2 Graphs of Linear Functions, exercise 20

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.