2-21
1.
2. If 100 students attend, the total cost would be
Fixed Cost - $2000 (band) +$1200 (caterer) = $3200
Variable Cost - 100 students x $8 = $800. (Multiplying with $8 as the cost charged by caterer is 18$ and recovery from the students is 10$, so net 18-10=8)
Total Cost for 100 students = 3200+800 = $4000
Cost per attendee = 4000/100 = $40 per attendee
3. If 500 students attend, the total cost would be
Fixed Cost - $2000 (band) +$1200 (caterer) = $3200
Variable Cost - 500 students x $8 = $4000. (Multiplying with $8 as the cost charged by caterer is 18$ and recovery from the students is 10$, so net 18-10=8)
Total Cost for 100 students = 3200+4000 = $7200
Cost per attendee =7200/500 = $14.40 per attendee
4.
As the president of the student association, if the number of attendee are greater than 320, (total fixed cost / contribution per attendee) ($3200/$10), we would use cost per attendee as a base to recover the cost. However if the attendance is less than 320, we would not use the cost per attendee as the fixed costs itself would not be recovered.
3-34
1. First find out the Contribution margin of Small Trampoline (ST) and Large Trampoline(LT)
Contribution Margin = Sales price - Variable Cost
CM for ST = 200-120 = $80
CM for BT = 600-420 = $180
Given sales mix is 4 ST for 1 LT.
Let 4 ST along with 1 LT 1 unit of Sale. (Say Total Sale (TS))
So contribution from that 1 unit (TS) will be (4 x 80) + (1 x 180) = $500.
Given Fixed Cost is $ 1,250,000.
So number of units to be sold for break even will be Fixed Cost divided by Contribution from 1 TS.
1,250,000/500 = 2500 units of TS.
Break even in Units
This amounts to 2500 x 4 = 10,000 units of Small Trampoline
2500 x 1 = 2500 units of Large Trampoline.
Total units 12500 units.
Break even in Sales
10,000 units of ST x $ 200 = $2,000,000
2500 units of LT x $ 600 = $ 1,500,000
Total Break even Sales = 3,500,000.
2.
Increase in Fixed cost by 202,000. New Fixed cost to be recovered = 1,250,000+202,000 = 1,452,000.
Change in Contribution Margins
CM of ST = 200-(120-15) = $95
CM of LT = 600 - (420-45) = $225.
Given that the same sales mix will continue.
Given sales mix is 4 ST for 1 LT.
Let 4 ST along with 1 LT 1 unit of Sale. (Say Total Sale (TS))
So contribution from that 1 unit (TS) will be (4 x 95) + (1 x 225) = $605.
Given Fixed Cost is $ 1,452,000.
So number of units to be sold for break even will be Fixed Cost divided by Contribution from 1 TS.
1,452,000/605 = 2400 units of TS.
Break even in Units
This amounts to 2400 x 4 = 9,600 units of Small Trampoline
2400 x 1 = 2400 units of Large Trampoline.
Total units 12000 units
Break even in Sales
9600 units of ST x $ 200 = $1,920,000
2400 units of LT x $ 600 = $ 1,440,000
Total Break even Sales = 3,360,000.
3.
Indifference point is nothing but the point where choosing either of the 2 options will not impact out profitability
Contribution Margin - Fixed Cost should be the same for "T" number of units
500 x T - 1,250,000 = 605 x T - 1,452,000
105T = 202,000
T = 202000/105
= 1925 (rounded off to nearest 5 for easier calculation)
The indifference point of sales will be Break even point as per Option 1 + 1925 units
12500+1925 = 14425 units.
As 13000 units of sales lie below the indifference point of 14425 units. It would be favourable to use Option 2 that is it should buy the new equipment.
please solve 1-4 in detail please solve 1-3 in only 3-34. could you please tell why...
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