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Break-Even Units: Units for Target Profit Jay-Zee Company makes an in-car navigation system. Next year, Jay-Zee...

Break-Even Units: Units for Target Profit

Jay-Zee Company makes an in-car navigation system. Next year, Jay-Zee plans to sell 18,000 units at a price of $360 each. Product costs include:

Direct materials $76.00
Direct labor $43.00
Variable overhead $11.00
Total fixed factory overhead $597,000

Variable selling expense is a commission of 4 percent of price; fixed selling and administrative expenses total $94,200.

Required:

1. Calculate the sales commission per unit sold. If required, round your answers to the nearest dollar. Use rounded answers in subsequent computations.
$ per unit

Calculate the contribution margin per unit.
$ per unit

2. How many units must Jay-Zee Company sell to break even? Round your answer to the nearest whole number.
units

Prepare an income statement for the calculated number of units. If an amount is zero, enter "0". Do NOT round Break-even units and, if required, round your answer to the nearest dollar.

Jay-Zee Company
Income Statement
$
$
$

3. Calculate the number of units Jay-Zee Company must sell to achieve target operating income (profit) of $391,392. Round your answer to the nearest whole number.
units

4. What if the Jay-Zee Company wanted to achieve a target operating income of $378,000? Would the number of units needed increase or decrease compared to your answer in Requirement 3? Round your answer to the nearest whole number.

Compute the number of units needed for the new target operating income.
units

Solutions

Expert Solution

1)sales commission per unit =selling price* %

            = 360 *4%

          = $ 14.4 per unit (rounded to 14)

Total variable cost =76+43+11+14=144

contribution per unit = selling price -variable cost

          = 360 -144

             = $ 216 per unit

2)Units to breakeven =Fixed cost /contribution per unit

              = [597000+94200] /216

               = 691200 /216

               =3200 units

INCOME STATEMENT
sales (360*3200) 1152000
less:variable cost (144*3200) (460800)
contribution per unit 691200
less:fixed cost (691200)
net operating income 0

3)Units to sell to achieve target income = [Fixed cost+ target income ]/contribution per unit

         =[691200+391392]/216

           = 1082592/216

                 = 5012 units

4)

Units to sell to achieve target income = [Fixed cost+ target income ]/contribution per unit

         =[691200+378000]/216

          = 1069200/216

         = 4950 units

Number of units decreased as compare to part 3


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