In: Accounting
RayLok Incorporated has invented a secret process to improve light intensity and, as a result, manufactures a variety of products related to this process. Each product is independent of the others and is treated as a separate profit/loss division. Product (division) managers have a great deal of freedom to manage their divisions as they think best. Failure to produce target divisional income is dealt with severely; however, rewards for exceeding one’s profit objective are, as one division manager described them, lavish.
The DimLok Division sells an add-on automotive accessory that automatically dims a vehicle’s headlights by sensing a certain intensity of light coming from a specific direction. DimLok has had a new manager in each of the 3 previous years because each manager failed to reach RayLok’s target profit level. Donna Barnes has just been promoted to manager and is studying ways to meet the current target profit for DimLok.
DimLok’s two profit targets for the coming year are $910,000 (25% return on the investment in the annual fixed costs of the division) and $30 (pre-tax) profit for each DimLok unit sold. Other constraints on the division’s operations are as follows:
Donna is now examining data gathered by her staff to determine whether DimLok can achieve its target profits of $910,000 and $30 per unit. A summary of these reports shows the following:
Donna believes that these projections are reliable and is now trying to determine what DimLok must do to meet the profit objectives assigned by RayLok’s board of directors.
Required:
1. Determine the dollar amount of DimLok’s present annual fixed costs per year.
2. Determine the number of units that DimLok must sell to achieve both profit objectives. Be sure to consider all constraints in determining your answer.
3. Without regard to your answer in requirement 2, assume that Donna decides to sell 51,000 units at $200 per unit and 79,750 units at $170 per unit.
(a) Prepare a budgeted income statement (contribution format) for DimLok showing budgeted operating income.
(b) Would this projected operating income meet the stated profit objectives?
1) we have to determine the dollar amount of DimLok’s present annual fixed costs per year.
Profit target based on 25% of annual fixed costs=$910,000
The dollar value of dimlok's present annual fixed costs is,
Total fixed costs=910000/25%=910000/0.25=$3,640,000 .
2)we have to determine the number of units that DimLok must sell to achieve both profit objectives
Now, contribution per unit below the51,001 unit level,
=$200 selling price-($120 variable cost per unit +$30 profit per unit)=$50 contribution per unit upto 51,000
calculate the number of units to acheive the desired profit objectives
=(fixed charges+desired profit)/contribution per unit=($3,640,000+$910000)/$50=$91,000
The contribution for production in the 51,00, tob71,001. units range =$170 selling price-($120+$30)
=$20 contribution per unit.
Now, Calculate the number of units to acheive overall profit objectives,
=(Fixed charges+Desired profit)= contribution
=( $1,110,000 + $1,110,000 +$3,640,000)=($50*51000)+($120*(102000-71000))+$50(X-51000)=$42,800
3a)We have to Prepare a budgeted income statement (contribution format) for DimLok showing budgeted operating income.
Dimlok division | ||
Pro forma income statement | ||
Revenue | ||
51,000 *200 | 10,200,000 | |
79750*$170 | 13,557,500 | 23,757,500 |
Variable costs | ||
71,000*120 | 8,520,000 | |
5100*80 | 408,000 | 8,928,000 |
contribution | 14,829,500 | |
Fixed costs | 4,750,000 | |
Operating income | 10,079,500 | |
B) the profit objects =contribution- fixed costs=14,829,500-4,750,000=$10,079,500