Question

In: Accounting

A company is using the breakeven chart to evaluate the decision of buying new machinery that...

A company is using the breakeven chart to evaluate the decision of buying new machinery that will increase its fixed costs by $200,000 Below is the information of the company Variable cost per unit = $60 Total revenue = $1,360,000 Units sold = 8,500 units Total Cost = $710,000

a. Total fixed costs after increase of $200,000 is:

b. Total variable cost of the company:

c. New total costs after addition of $200,000

d. Breakeven point is equal to (after increase of fixed costs):

e. What is the margin of safety at an output level of 5,000 and the new TC after addition of $200,000? (Profit = Total revenue - Total costs)

f. If the company decided to lease a more advanced machine instead of buying the older one, the fixed cost will increase by $300,000 but the variable cost will decrease to be $40 per unit. Calculate the new break-even point (approximate)

Solutions

Expert Solution

Answer P.U.
Unit                     8,500
Sales 160 $        1,360,000 ($13,60,000/8500)
Total Cost $            710,000
b Variable Cost 60 $         (510,000) (8500*$60)
Fixed Cost $            200,000
Addition to Fixed cost $            200,000
a New Fixed Cost $            400,000
c New Total Cost $            910,000
Contribution ratio 62.5% ($160-60)/160
d Break-even point($) $            640,000 ($400,000/62.5%)
Break-even point(Unit)                     4,000 ($6,40,000/$160)
*Break-even point($) =Total Fixed cost/Contribution margin ratio
e Margin of Safety= Current sales -Break-even sales
Margin of Safety= (5000 unit*$160) -$6,40,000
Margin of Safety= $800,000-$6,40,000= $160,000
P.U.
Unit
Sales $    160.00
Variable Cost $      40.00
Contribution $    120.00
Contribution ratio 75% ($120/$160)
Current Fixed cost $            200,000
Addition to Fixed cost $            300,000
New Fixed Cost $            500,000
f New Break-even point($) $            666,667 ($500,000/75%)
New Break-even point(Unit) $                4,167 ($6,66,667/$160)
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