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•Explains the output, cost, and revenue
relationships over the whole range of stipulated
output.
Break-Even Analysis- P
Analysis- R
Break-Even Analysis-
Profit maximization
• Gives a preview of profit prospects to
the business manager.
 integrates the cost and revenue
estimates to ascertain the profits and
losses associated with different levels
of output.
 Explains about the volume of output
at which the costs and revenues are
exactly equal.
 Given
 Cost function: TC=100+10Q
 Revenue function: TR=15Q
 Break-Even output: 15Q=100+10Q
 5Q=100
 Q=20
 Production beyond 20 units will yield
increasing profits.
 Production below 20 units means the firm
incurs loss.
 Production of 20 units is just break-even ie
TR=TC
TR
TC
TVC
TFC
C
O
S
T
&
R
E
V
E
N
U
E
20 OUTPUT
Operating
loss
Operating
profit
 Relevant to short run
 Costs are affected only by level of output.
 Efficiency of factors is assumed to be
constant.
 The sales volume and the produced output
are the same .
 . That means what ever is produced is sold.
 Break-Even point = Total Fixed
 costs/variable profit per unit=
 = Total Fixed costs/Selling price-
Variable cost per unit
 Given Variable cost per unit =Rs 6
 Firm’s selling price per unit =Rs10
 Firm’s Total Fixed costs = Rs1,60,000
 Break –Even output =1,60000/10-6
 =1, 60,000/4
 = 40,000 units
 Break-Even output : TR=TC
 Firm’s total revenue : 40,000 x10 =4,00,000
 Firm’s total costs : TFC+TVC
 TFC =1,60,000
 TVC(Total output x variable cost per unit )=
 40000 x Rs 6=2,40000
 TC =1,60,000+2,40,000 =4,00,000
 Therefore it is proved :TR=TC Hence the
above formula for Break-Even point is
proved.
TC
TR
a
b
Q
Q1
Q2
O
 The Fig represents short run.
 The horizontal straight line is total fixed
costs as they do not change according to the
changes in the level of output.
 Total revenue curve starts from the origin
indicating that at the beginning even with
no output the fixed costs are to be born.
 At output OQ level, point “a” shows TC=TR ,
a break-even output where the losses are
minimized.
 At point “b” again TC=TR, showing the level
of output where the amount of profits are
maximized.
 Beyond OQ2, it is the zone of losses where
TC is > TR.
 At output OQ1,the profit is at it’s highest.
 The profit zone is from OQ to OQ2.
 What is the optimum level of output that a
firm should go for ?and why?
 Is it judicious for the firm to stop production
at OQ level of output? Justify your answer.
 If at all the firm stops it’s production at OQ1
level of output what implications can you
analyze?
 At what level of output sales maximization is
achieved?


200
260
300
320
340
370
420
453
500
720
0
20
40
60
80
100
120
140
150
160
180
80
 What is the average fixed cost of the firm at
40 units level of output?
 If the selling price is Rs 4, derive the break-
even level of output.
 At what level of output does the firm earn
maximum profits?
 What is firm’s variable cost at 60 units of
output?
THANK YOU

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Break even analysis- profit maximization ppt

  • 1. •Explains the output, cost, and revenue relationships over the whole range of stipulated output. Break-Even Analysis- P Analysis- R Break-Even Analysis- Profit maximization
  • 2. • Gives a preview of profit prospects to the business manager.  integrates the cost and revenue estimates to ascertain the profits and losses associated with different levels of output.  Explains about the volume of output at which the costs and revenues are exactly equal.
  • 3.  Given  Cost function: TC=100+10Q  Revenue function: TR=15Q  Break-Even output: 15Q=100+10Q  5Q=100  Q=20
  • 4.  Production beyond 20 units will yield increasing profits.  Production below 20 units means the firm incurs loss.  Production of 20 units is just break-even ie TR=TC
  • 6.  Relevant to short run  Costs are affected only by level of output.  Efficiency of factors is assumed to be constant.  The sales volume and the produced output are the same .  . That means what ever is produced is sold.
  • 7.  Break-Even point = Total Fixed  costs/variable profit per unit=  = Total Fixed costs/Selling price- Variable cost per unit
  • 8.  Given Variable cost per unit =Rs 6  Firm’s selling price per unit =Rs10  Firm’s Total Fixed costs = Rs1,60,000  Break –Even output =1,60000/10-6  =1, 60,000/4  = 40,000 units
  • 9.  Break-Even output : TR=TC  Firm’s total revenue : 40,000 x10 =4,00,000  Firm’s total costs : TFC+TVC  TFC =1,60,000  TVC(Total output x variable cost per unit )=  40000 x Rs 6=2,40000  TC =1,60,000+2,40,000 =4,00,000  Therefore it is proved :TR=TC Hence the above formula for Break-Even point is proved.
  • 11.  The Fig represents short run.  The horizontal straight line is total fixed costs as they do not change according to the changes in the level of output.  Total revenue curve starts from the origin indicating that at the beginning even with no output the fixed costs are to be born.  At output OQ level, point “a” shows TC=TR , a break-even output where the losses are minimized.
  • 12.  At point “b” again TC=TR, showing the level of output where the amount of profits are maximized.  Beyond OQ2, it is the zone of losses where TC is > TR.  At output OQ1,the profit is at it’s highest.  The profit zone is from OQ to OQ2.
  • 13.  What is the optimum level of output that a firm should go for ?and why?  Is it judicious for the firm to stop production at OQ level of output? Justify your answer.  If at all the firm stops it’s production at OQ1 level of output what implications can you analyze?  At what level of output sales maximization is achieved?
  • 14.
  • 16.  What is the average fixed cost of the firm at 40 units level of output?  If the selling price is Rs 4, derive the break- even level of output.  At what level of output does the firm earn maximum profits?  What is firm’s variable cost at 60 units of output?