Schmaltx, Ltd., produces a variety of specialty beverages. One of its products is made in a separate facility for which monthly rent, administrative costs, and equipment leasing is $50,000. Eight workers handle production and shipping. Each receives salary and fringe benefits of $2,000 per month. Packaging and distribution costs are $1.5 per case, and ingredients cost $3 per case. The product is sold for $9 a case. Determine the following: 1) Write an expression for the cost function, revenue function and profit function in terms of the number of cases of beverage produced, Q. (Assume there is no demand restriction on sales). 2) Find the break-even point algebraically. 3.) Formulate a spreadsheet model that will give the profit. Use the Excel goal seek command (Data > What-If-Analysis > Goal Seek) to calculate the break-even point in part a. 4.a) Using the above spread sheet model find the profit or loss if Schmaltx produces and sells 10,000 cases. 4.b) Using the above spread sheet model find the profit or loss if Schmaltx produces and sells 30,000 cases. 5.) Write an expression for the profit function in terms of demand (in cases) for the beverage (S) and the number of cases of beverage produced (Q). 5.a) Formulate a spreadsheet model that will find the profit. 5.b) Find the cases of beverage to be produced when S= 20,000 cases using the above spreadsheet model. 5.c) Find the cases of beverage to be produced when S= 10,000 cases using the above spreadsheet model.

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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