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please solve 1-4 in detail
Chapter 2 An Introduction to Cost Terms and Purposes Function Representative Cost Driver 1. Accounting 2. Human resources 3.

please solve 1-3 in only 3-34.
could you please tell why you solved the problem like that
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Answer #1

2-21

1.

Attendance Fixed Cost Variable Cost Recovery Net Variable Cost Total Cost 100 $ 3,200 $ 1,800 $ -1,000 $ 800 $ 4,000 200$ 3,2

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.

Attendance Cost per Attendee 100 $ 40.00 200 $ 24.00 300 $ 18.67 400 $ 16.00 500 $ 14.40 Cost per Attendee $45.00 $40.00 $35.

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.

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