1.
Fixed Cost = Leasing cost per month + Labor cost per month
Fixed Cost = 50,000 + 8 workers x 2000 per month
F = Fixed cost = $66,000 per month
V = Variable cost per case = V = packaging cost/case + ingredient cost per case = 1.5 + 3 = $4.5 per case
R = Unit revenue = $9 per case
Let Q = Production Volume
The algebraic form of calculating profit (loss) is as follows:
Total Cost = Fixed cost + Total variable cost = $66,000 + $4.5 x Q
Total Revenue = Quantity x unit revenue = 9Q
Profit = Sales Revenue – Total Cost
Profit = Unit Revenue x Q – (Fixed cost + Unit cost x Q)
P = (Q)(R) – F – (Q)(V)
P = 9Q – 66,000 – 4.5Q
2.
At break even volume, the profit = loss = 0
P = (Q)(R) – F – (Q)(V) = 0
Breakeven volume = Q = F/(R – V)
Breakeven volume = Q = 66000/(9 – 4.5)
Breakeven volume = 14667 cases
3.
Copy paste following table in excel:
Admin Cost and Lease
50000
per month
Number of workers
8
Salary and Benefit per worker
2000
Per month
Total Fixed cost
=+B3+(B4*B5)
Per month
Packaging & Distribution cost
1.5
per case
Ingredients Cost
3
per case
Varaible cost per unit
=+B9+B8
per case
Revenue per unit
9
per case
Contribution per unit
=+B12-B10
per case
Production Volume
14666.6666666667
Cases
Total Profit
=+(B16*B12)-(B10*B16)-B6
The goal seek options:
https://d2vlcm61l7u1fs.cloudfront.net/media%2F40f%2F40f4fddd-fa07-4362-9451-d53410af359e%2Fphp0szxhN.png
4.a:
By changing value of production volume to 10,000, loss obtained is 21,000.
4b.
By changing value of production volume to 30,000, profit obtained is $69,000.
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