Question

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

Answer 1

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.