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The Warren Watch Company sells watches for $21, fixed costs are $180,000, and variable costs are $15 per watch.

What is the firm's gain or loss at sales of 5,000 watches? Enter loss (if any) as negative value. Round your answer to the nearest cent.
$

What is the firm's gain or loss at sales of 20,000 watches? Enter loss (if any) as negative value. Round your answer to the nearest cent.
$

What is the break-even point (unit sales)? Round your answer to the nearest whole number.
units

What would happen to the break-even point if the selling price was raised to $32?


What would happen to the break-even point if the selling price was raised to $32 but variable costs rose to $26 a unit? Round your answer to the nearest whole number.

Respuesta :

Answer:

  • 5,000 watches : $150,000  loss
  • 20,000 watches:  $60,000  (Loss)
  • Break-even point = 30,000  units
  • if the selling price rises to 32  = break even points descends to 10,588 units
  • If the selling price rises to $32 but variable costs rises to $26  , the break even point goes back to 30,000units.

Explanation:

Hi, to answer this question we have to apply the next formula:

Profit = Revenue -cost

Where the revenue is equal to the units sold (x) multiplied by the selling price,

R = 21 x  

And cost is equal to the sum of the fixed and variable costs.

C = 15x + 1800

So:

P = 21x-(15x +180,000)

P = x ( 21-15)- 180,000

  • For 5,000 watches:

P = 5000(21-15)-180,000

P = 5000(6) -180,000

P= 30,000-180,000

P=-$150,000  (loss , since is negative )

  • For 20,000 watches:

P = 20,000(6) -180,000

P = 120,000-180,000

P=-$60,000  (Loss)

  • To find the break even point:

R = C

21x = 15x + 180,000

21x-15x =180,000

6 x = 180,000

x = 180,000/6

x =30,000  units

  • if the selling price rises to 32

32x = 15x + 180,000

32x-15x = 180,000

17x =180,000

x = 180,000/17

x = 10,588 units

It descends,

  • If the selling price rises to $32 but variable costs rises to $26  

32x = 26x+180,000

32x-26x = 180,000

6x = 180,000

x = 180,000/6

x =30,000

The break-even point comes back to 30,000 units.