Question

Required information [The following information applies to the questions displayed below.] Vernon Company makes and sells proe. If fixed costs drop to $22,800, what level of sales is required to earn the desired profit? Express your answer in units af. If variable cost rises to $46 per unit, what level of sales is required to earn the desired profit? Express your answer inf. If variable cost rises to $46 per unit, what level of sales is required to earn the desired profit? Express your answer ing. Assume that Vernon concludes that it can sell 2,200 units of product for $66 each. Recall that variable costs are $46 each

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Answer #1

Part (e)

If Fixed cost reduces to $ 22800,Sales required to earn the desired profit of $ 4200
Amount
Current Selling price $ 77
Variable cost $ 56
Annual fixed cost $ 22800
It is assumed that the desired profit $ 4200
Desired profit $ 4200
Fixed cost $ 22800
Total contribution required $27000
Contribution per unit $ 21
Therefore we can calculate the number of units need to sell earn the contribution of $ 27000
It can be calculated by deviding $ 27000 by $ 21
(27000/21) = 1285.71 OR 1286
Sales volume in units = 1286
Sales volume in dollars (1286 x 77) = $ 99022
VERNON COMPANY
Income statement
Sales value (1286 x 77) $ 99022
Less:Variable cost (1286 x 56) $72016
Contribution $27006
Less:Fixed cost $22800
Profit $ 4206
Or it can say that profit is $ 4200

Part (f)

If Variable cost changes to $ 46 ,Sales required to earn the desired profit $ 4200
Amount
Current Selling price $ 77
Variable cost $ 46
Annual fixed cost(It is assumed that fixed cost present level is unchanged) $39900
It is assumed that the desired profit $ 4200
Desired profit $ 4200
Fixed cost $ 39900
Total contribution required $44100
Contribution per unit( $ 77 - $ 46) = $ 31
Therefore we can calculate the number of units need to sell earn the contribution of $ 44100
It can be calculated by deviding $ 44100 by $ 31
(44100/31) = 1422.581 OR 1423
Sales volume in units = 1423
Sales volume in dollars (1423x 77) = $ 109571
NOTE:it is assumed that Selling price and fixed cost are not changed in case (f)
VERNON COMPANY
Income statement
Sales value (1423 x 77) $ 109571
Less:Variable cost (1423 x 46) $ 65458
Contribution $44113
Less:Fixed cost $39900
Profit $ 4213
Or it can say that profit is $ 4200

Part (g)

Calculation of Margin of Safety
Selling price $ 66
Variable cost $46
Fixed cost $22800
Contribution per unit =Selling price - Variable cost
Which is ( 66-46) $ 20
Number of units sold 2200
Total sales value(2200x 66) $ 145200
total contribution is ( 20x 2200) $ 44000
Less:Fixed cost $ 22800
Profit $ 21200
Margine of safety is the poit by which sales volume exeeds the break even sales.it can be calculated by following formula                                                       MOS= Sales -Break even sales                                                         
Break even sales is a point at which company makes zero profit,it is calculated by as follows
Break even sales = Fixed cost /contribution per unit
(22800/20) 1140 units
Break even Sales value in dollars (1140 x 66) $75420
Therefore MOS is ($ 145200- $ 75420) $ 69780
Margin of safety in units (69780/66) 1058
Margin of safety in dollars$ $ 69780
Margin of safety in % =                                                       (Actual sales-BEP sales)/Actual sales
(145200- 75420) /145200 = 48.06%
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