Question

Lindon Company is the exclusive distributor for an automotive product that sells for $40.00 per unit and has a CM ratio of 30
Outback Outfitters sells recreational equipment. One of the companys products, a small camp stove, sells for $110 per unit V
3. At present, the company is selling 17,000 stoves per month. The sales manager is convinced that a 10% reduction in the sel
Required: 1. What is the break-even point in unit sales and in dollar sales? 2. If the variable expenses per stove increase a
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Answer #1

First part of above Question- Please see below step by step . Each answer derived with formula and number ( majority number already there in Question ,+ I highlighted formula where ever it is use   

Lindon Company
Selling Price ( $/unit 40
CM Ratio( Contribution Margin) 30%
Fixed Expenses ($)         2,46,000
Selling Unit            23,700
Variable Cost/ Unit Sales price - Contribution
Contribution / Unit
CM Ratio (a) 30%
Selling Price ( $/unit(b)                    40
Contribution( per unit(a*b)                    12
Variable Cost/ Unit Sales price - Contribution
40-12
Variable Cost/ Unit ($/unit                    28
Break even Points in Unit & Dollar Sales
Break even Points in Unit
Contribution Sales Unit - Variable cost / unit  
40-28
Contribution$/ unit                    12
Fixed cost         2,46,000
Break even Points in Unit Fixed cost/Contribution per unit  
246000/12
Break even Points in Unit            20,500
Break even Points in Dollar
CM Ratio 30%
Fixed Cost         2,46,000
Break even Points in Dollar 246000/30%
Break even Points in Dollar ($)         8,20,000
Break even Points in Unit & Dollar Sales Target profit ( $126000)
Break even Points in Unit
Contribution Sales Unit - Variable cost / unit  
40-28
Contribution$/ unit                    12
Fixed cost         2,46,000
Target Profit         1,26,000
Break even Points in Unit Fixed cost+Target Profit /Contribution per unit  
('246000+126000)/12
Break even Points in Unit            31,000
Break even Points in Dollar
CM Ratio 30%
Fixed Cost         2,46,000
Target Profit         1,26,000
Break even Points in Dollar (246000+126000)/30%
Break even Points in Dollar ($)      12,40,000
Variable cost reduced by $4/ Unit
Revised variable cost per Unit
Variable Cost/ Unit ($/unit                    28
Less Reduction                      4
New variable cost ($/unit)                    24
Break even Points in Unit & Dollar Sales
Break even Points in Unit
Contribution Sales Unit - Variable cost / unit  
40-24
Contribution$/ unit                    16
Fixed cost         2,46,000
Break even Points in Unit Fixed cost/Contribution per unit  
246000/16
Break even Points in Unit            15,375
Break even Points in Dollar
CM Ratio ( changed) 40%
Sales ( Unit)                    40
New Variable Cost( unit)                    24
Contribution($/ unit                    16
Contribution Margin 40%
Fixed Cost         2,46,000
Break even Points in Dollar 246000/40%
Break even Points in Dollar ($)         6,15,000
Break even Points in Unit & Dollar Sales Target profit ( $126000)
Break even Points in Unit
Contribution Sales Unit - Variable cost / unit  
40-24
Contribution$/ unit                    16
Fixed cost         2,46,000
Target Profit         1,26,000
Break even Points in Unit Fixed cost+Target Profit /Contribution per unit  
('246000+126000)/16
Break even Points in Unit            23,250
Break even Points in Dollar
CM Ratio ( changed) 40%
Fixed Cost         2,46,000
Target Profit         1,26,000
Break even Points in Dollar (246000+126000)/40%
Break even Points in Dollar ($)         9,30,000
Answer 1 Outbrack Outfitters- Stove
Selling Price ( $/unit(a) 110
Variable Cost ( $/ unit)(b) 77
Fixed Expenses ($)         1,58,400
Contribution Margin( $/ Unit)(a-b)                    33
Contribution Margin Ratio Contribution/ Sales)
Contribution Margin Ratio 30%
Breakeven Points in Unit & Dollar Sales
Breakeven Points in Unit
Contribution ($/Unit                    33
Fixed cost         1,58,400
Breakeven Points in Unit Fixed cost/Contribution per unit  
158400/33
Breakeven Points in Unit              4,800
Breakeven Points in Dollar
Contribution Margin Ratio 30%
Fixed Cost         1,58,400
Breakeven Points in Dollar 158400/30%
Breakeven Points in Dollar ($)         5,28,000
Answer 2 If variable Expenses increased in line with percenage of Selling price
Then contribution per unit will decrease and Break even Point will increase
Answer 3 Present Income Statement Unit (c) Rate ($/unit)(d) Value ( $)(c*d)
Sales ( unit as per Question)            17,000              110             18,70,000
Variable Cost            17,000                 77             13,09,000
Contribution ( Sales - variable CosT)               5,61,000
Fixed cost( as per Question)               1,58,400
Net Margin               4,02,600
Revised Income Statement Unit (c) Rate ($/unit)(d) Value ( $)(c*d)
Sales ( unit as per Question)
17000 Unit            21,250                 99             21,03,750
25% increase in Selling Unit
17000*1.25
Selling Price ( 10% reduction)
Selling price ( $/Unit )-110
90% of $110 / unit =$99/Unit
Variable Cost            21,250                 77             16,36,250
Contribution ( Sales - variable CosT)               4,67,500
Fixed cost( as per Question)               1,58,400
Net Margin               3,09,100
Answer 4 Revised Contribution Margin
Selling price ( $/ Unit ) ( as above)                          99
Variable Cost ( Unit)                          77
Contribution Unit ($/Unit)                          22
Fixed cost ($)               1,58,400
Target profit ( as per Question)$                  78,000
Contribution Unit ($/Unit)                          22
Numbe of Stove ('Fixec Cost+ Traget Profit )/Contribution per unit
Numbe of Stove ( Unit)                  10,745
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