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Basic Cost-Volume-Profit Concepts Klamath Company produces a single product. The projected income statement for the coming...

Basic Cost-Volume-Profit Concepts

Klamath Company produces a single product. The projected income statement for the coming year is as follows:

Sales (69,600 units @ $35.00) $2,436,000
Total variable cost 1,388,520
Contribution margin $ 1,047,480
Total fixed cost 1,131,760
Operating income $ (84,280)

Required:

1. Compute the unit contribution margin and the units that must be sold to break even.

Unit contribution margin $
Break-even units units

2. Suppose 10,000 units are sold above breakeven. What is the operating income?
$

3. Compute the contribution margin ratio. Use the contribution margin ratio to compute the break-even point in sales revenue.

Contribution margin ratio %
Break-even sales revenue $

Suppose that revenues are $200,000 more than expected for the coming year. What would the total operating income be?
$

Solutions

Expert Solution

1 ) Contribution margin = Sales - Variable cost
   = 2436000-1388520
1047480
Now we will divide contribituin by no. of units sold to caluclate contrinution margin per unit
Contrinution margin per unit = 1407480/69600
15.05 per unit
Break Even (Units) = Fixed cost/ Contribution margin
                     =1131760 / 15.05
75200 Units
2) Above breakeven units profit per unit is always eqaul to contibution per unit
   Addition to operating income = 10000*15.05
150500
Total operating income would be = (-84280) + 150500
66220
3) Contribution margin ratio = Total contribution / Total revenue
    =1047480/2436000
43.00%
Break Even in Dollars = Total Fixed Cost / Contribution margin ratio
         =1131760/43%
2632000
4) If revenue will be $200000 more the contribution will be $86000 more and also net income would be $86000 more.(200000*43%)
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