High School

Use the equations for the total cost [tex]c[/tex] and total revenue [tex]r[/tex] to find the number [tex]x[/tex] of units a company must sell to break even. Round to the nearest whole unit.

[tex]c = 850x + 250000[/tex]

[tex]r = 9502x[/tex]

Answer :

To break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

Define the term break even point?

  • The break-even threshold is reached when overall costs and total revenues are equal, leaving your small firm with no net benefit or loss.
  • In many other words, you've achieved the point in production where the revenue from a product equals the cost of manufacture.

For the given question-

Total cost c: c = 850x + 250000

Total revenue R: R = 9502x

The point during which costs equal revenues is known as the break-even point.

850x + 250000 = 9502x

9502x - 850x = 250000

8652x = 250000

x = 28.29

x = 29

Thus, to break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

To know more about the break even point, here

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