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 ones profit objective are, as one division manager described them, lavish.

The DimLok Division sells an add-on automotive accessory that automatically dims a vehicles 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 RayLoks target profit level. Donna Barnes has just been promoted to manager and is studying ways to meet the current target profit for DimLok.

DimLoks two profit targets for the coming year are $870,000 (20% return on the investment in the annual fixed costs of the division) and $20 (pre-tax) profit for each DimLok unit sold. Other constraints on the divisions operations are as follows:

• Production cannot exceed sales because RayLoks corporate advertising program stresses completely new product models each year, although the models might have only cosmetic changes.
• DimLoks selling price cannot vary above the current selling price of $230 per unit but may vary as much as 10% below $230.
• A division manager can elect to expand fixed production or selling facilities; however, the target profit objective related to fixed costs is increased by 20% of the cost of any such expansion. Furthermore, a manager cannot expand fixed facilities by more than 30% of existing fixed cost levels without approval from the board of directors.

Donna is now examining data gathered by her staff to determine whether DimLok can achieve its target profits of $870,000 and $20 per unit. A summary of these reports shows the following:

• Last years sales were 37,000 units at $230 per unit.
• DimLoks current manufacturing facility capacity is 47,000 units per year, but can be increased to 94,000 units per year with an increase of $1,070,000 in annual fixed costs.
• Present variable costs amount to $130 per unit, but DimLoks vendors are willing to offer direct materials discounts amounting to $30 per unit, beginning with unit number 67,001.
• Sales can be increased up to 114,000 units per year by committing large blocks of product to institutional buyers at a discounted unit price of $200. However, this discount applies only to sales in excess of 47,000 units per year.

Donna believes that these projections are reliable and is now trying to determine what DimLok must do to meet the profit objectives assigned by RayLoks board of directors

Required:

1. Determine the dollar amount of DimLoks 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 47,000 units at $230 per unit and 41,800 units at $200 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?

Please show every step. thanks