In: Accounting
Wolsey Industries Inc. expects to maintain the same inventories at the end of 20Y3 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows:
Estimated Fixed Cost |
Estimated Variable Cost (per unit sold) |
||||||
Production costs: |
|||||||
Direct materials |
— |
$46 |
|||||
Direct labor |
— |
40 |
|||||
Factory overhead |
$200,000 |
20 |
|||||
Selling expenses: |
|||||||
Sales salaries and commissions |
110,000 |
8 |
|||||
Advertising |
40,000 |
— |
|||||
Travel |
12,000 |
— |
|||||
Miscellaneous selling expense |
7,600 |
1 |
|||||
Administrative expenses: |
|||||||
Office and officers' salaries |
132,000 |
— |
|||||
Supplies |
10,000 |
4 |
|||||
Miscellaneous administrative expense |
13,400 |
1 |
|||||
Total |
$525,000 |
$120 |
It is expected that 21,875 units will be sold at a price of $160 a unit. Maximum sales within the relevant range are 27,000 units.
Required:
1. Prepare an estimated income statement for 20Y3.
Wolsey Industries Inc. |
|||
Estimated Income Statement |
|||
For the Year Ended December 31, 20Y3 |
|||
$ |
|||
Cost of goods sold: |
|||
$ |
|||
Total cost of goods sold |
|||
Gross profit |
$ |
||
Expenses: |
|||
Selling expenses: |
|||
$ |
|||
Total selling expenses |
$ |
||
Administrative expenses: |
|||
$ |
|||
Total administrative expenses |
|||
Total expenses |
|||
Operating income |
$ |
2. What is the expected contribution margin ratio?
%
3. Determine the break-even sales in units and dollars.
Units |
units |
Dollars |
4. Construct a cost-volume-profit chart on your own paper. What is the break-even sales?
5. What is the expected margin of safety in dollars and as a percentage of sales?
Dollars |
$ |
|
Percentage (If required, round the percent to one decimal place, e.g. 15.4%.) |
% |
6. Determine the operating leverage. If required, round your answer to one decimal place, e.g. 15.4.
Q1. According to the question we need to prepare first estimated Income statement for 20Y3. For that first we need to know what is Income statement.
Income statement:- It is an important financial statement which states the profit or Income earned in a particular period by the company. It shows the earnings before Interest and Tax, Net Income,etc.
Wolsey Industries Inc.expected Income statement for the year ending 20Y3 |
||
($) | Amount ($) | |
Sales (21,875 units* $160) | 35,00,000 | |
Less: Cost of Goods sold: | ||
Direct materials (21,875 units* $46) | 1,006,250 | |
Direct labour (21,875 units* $40) | 875,000 | |
Factory overhead( wn.1) | 637,500 | |
Total cost of goods sold- | (2,518,750) | |
Gross margin- ( Sales- COGS) | 981,250 | |
Less: Operating Expenses: | ||
Selling Expenses- (i) Sales salaries and commissions (wn.2) | 285,000 | |
(ii)Advertising | 40,000 | |
(iii)Travel | 12,000 | |
(iv)Miscellaneous selling expense | 29475 | |
Administrative expenses:(i)Office and officers' salaries | 132,000 | |
(ii)Supplies (wn.3) | 97,500 | |
(iii)Miscellaneous administrative expense | 35,275 | |
Total operating expenses- | (631,250) | |
Operating Income (Gross margin- Operating expenses) | 350,000 |
Working Notes:
1. Factory overhead- Estimated Fixed overhead + Variable overhead
= $200,000+ 21875 units* $20 per unit= $637,500
2.Sales salaries and commissions expense= Estimated Fixed overhead + Variable overhead
=$110,000+ 21875 units * $8 per unit= $ 285000
3.Supplies expense- Estimated Fixed overhead + Variable overhead
=$10,000+ 21875 units *$ 4 per unit= $97500
Q2. We have to calculate the Contribution margin ratio by using formula= Contribution margin per unit/ Sales per unit
Contribution margin per unit is calculated by using formula= Sales price per unit- Variable cost per unit
Selling price per unit | $160 |
less: Variable cost per unit | ($120) |
Contribution margin per unit= | $40 |
Contribution margin ratio= $40/ $160*100= 25%
Q3. Next, we need to calculate the Break even sales in both Units and Dollars.
1. Break even point in units is calculated by using formula= Fixed cost/ Contribution margin per unit
=$ 525,000/ $40= 13125 units
2. Break even point in Dollars is calculated by using the formula= Fixed cost/ Contribution margin ratio
= $525,000/ 25%= $21,00,000
Q4. The break even sales will be $21,00,000.