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L Problem 2 Cleveland Browns Company is analyzing its CVP relationships for product Football. Company accountants have accumu

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Answer #1

Break-Even sales in units:

(whole units)

Beak-Even sales in units = Fixed cost/SP - VC

SP= selling price per unit

VC= variable cost per unit

Break even sales units = 481000/25-12

= 37000 units

Margin of safety in units= Actual sales-Break even sales in value / selling price per unit

= 50000 units* $25 - 37000 units* $25 / $25

= 13000 units

Margin of safety Percentage(%):

= (current sales level - break even sales in values)/current sales level*100

= (50000 units*$25-37000 units*$25)/(50000 units*$25)*100

= 26%

Break even sales in dollars($):

Break even sales in dollars = Fixed cost / contribution margin ratio

= 481000/((25-12)/25*100)

= $925,000

  

Margin of safety in dollars:

= Margin of safety in units* Selling price

= 13000 units * $25

= $325000

Operating leverage: % change in operating income/% change in sales value

=(165059.5-169000/165059.5*100)/(1068750-1250000/1068750*100)

= -2.38%/-16.96%

= 0.14%

Sales in whole units necessary to achieve a minimum of $180000 per month:

= fixed cost + targeted income/contribution per unit

= (481000+180000)/13

= 50846.15 units (Approximately 50846 Units)

Sales in dollars necessary to achieve a minimum of $180000 per month:

=Fixed cost + targeted income/ contribution margin ratio

=(481000+18000)/(25-12)*25

= 661000/52%

= $1271153.84 (Approximately $12,71153)

Revise selling price per unit=$25-10%

=$22.5

Revised sales units = 50000 units - 5%

= 47500 units

Revised variable cost per unit=$12-$2

= $10

Revised contribution per unit = $22.5-$10

= $12.5

Contribution margin ratio=$12.5/$22.5*100

= 55.55%

Fixed cost to be reduced to acheive net income of $165,000

Sales in values=f(ixed cost+desired profit)/contribution margin ratio

47500 units*$22.5 = (fixed cost+165000)/55.55%

1068750 = (fixed cost+165000)/55.55%

Fixed cost+165000=1068750*55.55%

Fixed cost+165000=593690.5

Fixed cost=593690.5-165000

=$428690.5

So, fixed cost to be reduced to achieve net income of $165,000 is $52309.5 ($481,000-$428690.5)

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