

please so how you got the answers
thanks for you help
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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