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ELS - Hurdy Headphones Wireless Models Wire Units Mes plenes Pront Analys Totales Total Gris Profit 4 5 0 Units Sold Price Pe

OLIUILIS Styles 1. Kylie and Derek Hurdy own Hurdy Headphones, a company that manufactures wireless and noise-cancelling head


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Solution:

Hurdy Headphones - Wireless Models

Sales

Units sold

25000

Price per unit

179

Total Sales

4475000

Expenses

Variable Expenses

Units manufactured

25000

Variable cost per units

150

Total variable costs

3750000

Fixed expenses

Total Fixed costs

260000

Total expenses

4010000

Profit

Total sales

4475000

Total Expenses

4010000

Gross profit

465000

Break-even analysis

Price per unit

179

Cost per unit

150

Contribution Margin

29

Units sold

8966

Gross profit

0

Contribution margin = unit price – variable cost per unit

                                    = 179 – 150 = $29

Break- even point is the point where there is no profit or loss for a company. Therefore the gross profit has to be Zero.

Using the equation,

Units sold*unit price – Units sold * variable cost per unit – Total fixed cost = $0.

Here we want to find the no. of units to be sold to break-even.

Let the no. of units to be sold be X,

X * 179 – X*150 – 260000 = 0

29X = 260000

X = 8965.52 ≈ 8966 units.

Break even units can also be found out by dividing Total fixed cost by Contribution margin.

Wireless-Headphones profit analysis

Units sold

Total sales

Total Expenses

Gross profits

15000

2685000

2510000

175000

20000

3580000

3260000

320000

25000

4475000

4010000

465000

30000

5370000

4760000

610000

35000

6265000

5510000

755000

Total sales = Units sold * Unit price

In this case Unit price = $179.00

Therefore, total sales for 15000 units sold = 15000*179 = $2,685,000

Total Expenses = (Units sold * Variable cost per unit) + Total fixed cost

                        = 15000*150 + 260000

                        = 2250000 + 260000

                        = $2,510,000

Gross Profit = Total sales – Total Expenses

                        = $2,685,000 - $2,510,000

                        =$175,000

The same calculation is applied for rest also.

Wireless-Headphones gross profit analysis
Units sold / unit price 149 159 169 179 189 199 209
15000 -275000 -125000 25000 175000 325000 475000 625000
20000 -280000 -80000 120000 320000 520000 720000 920000
25000 -285000 -35000 215000 465000 715000 965000 1215000
30000 -290000 10000 310000 610000 910000 1210000 1510000
35000 -295000 55000 405000 755000 1105000 1455000 1805000

No. of units sold and unit price are given.

The same calculation is applicable for this table too.

In this the we are going to calculate the gross profit for different values of unit price.

Let the units sold be 15000 and unit price be $149.

               Total Expenses = (Units sold * Variable cost per unit) + Total fixed cost

                                             = 15000*150 + 260000

                        = 2250000 + 260000

                        = $2,510,000

Gross Profit = Total sales – Total Expenses

                        = 15000*149 - 2,510,000

                        = 2235000 – 2510000

                        = -$275000.

Follow the same procedure to find out the gross profit for different values of units sold and unit price.

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