Question

In: Finance

The Warren Watch Company sells watches for $29, fixed costs are $170,000, and variable costs are...

The Warren Watch Company sells watches for $29, fixed costs are $170,000, and variable costs are $13 per watch.

  1. 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 18,000 watches? Enter loss (if any) as negative value. Round your answer to the nearest cent.
    $

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

  3. What would happen to the break-even point if the selling price was raised to $31?
    -Select-The result is that the break-even point remains unchanged. The result is that the break-even point is lower. The result is that the break-even point is higher. Item 4

  4. What would happen to the break-even point if the selling price was raised to $31 but variable costs rose to $22 a unit? Round your answer to the nearest whole number.
    -Select-The result is that the break-even point remains unchanged. The result is that the break-even point increases. The result is that the break-even point decreases.

Solutions

Expert Solution

Answer :

1.) Calculation of Gain or Loss at sales of 5,000 Watches

Particulars Quantity Price Total
Sales 5000 29 145,000
(-) Variable Cost 5000 13 (65,000)
(-) Fixed Cost (170,000)
Profit / (Loss) $ (90000)

2.) Calculation of Gain or Loss at sales of 18,000 Watches

Particulars Quantity Price Total
Sales 18,000 29 522,000
(-) Variable Cost 18,000 13 (234,000)
(-) Fixed Cost (170,000)
Profit / (Loss) $ 118,000

3.) Calculation of Break-even point (unit sales)

Break even Sales ( in units ) = Fixed Cost / ( Selling price per unit - Variable cost per unit)

= $ 170,000/ ( 29 - 13 )

= 10625 units

4.) Break-even point if the selling price was raised to $31

Break even Sales ( in units ) = Fixed Cost / ( Selling price per unit - Variable cost per unit)

= $ 170,000/ ( 31 - 13 )

= 9444.44 units OR 9,444 units

The result is that the break-even point is lower.

5.)  Break-even point if the selling price was raised to $31 but variable costs rose to $22 a unit

Break even Sales ( in units ) = Fixed Cost / ( Selling price per unit - Variable cost per unit)

= $ 170,000/ ( 31 - 22 )

= 18,888.88 units or 18,889 units

The result is that the break-even point increases.


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