Required information

$[$The following information applies to the questions displayed below.$]$

RayLok Incorporated has Invented a secret process to improve light Intensity and, as a result, manufactures a varlety 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 thelr divisions as they think best. Fallure to

produce target divisional Income is dealt with severely; however, rewards for exceeding one's profit objectlve 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 falled to reach RayLok's target profit level. Donna Barnes has Just been promoted to manager and

Is studylng ways to meet the current target profit for DImLok.

DimLok's two profit targets for the coming year are $$1,150,000(20\%$ return on the Investment in the annual fixed costs of

the division$)$ and $$20($pre$-$tax$)$ profit for each DimLok unlt sold. Other constraInts on the division's operations are as

follows:

Production cannot exceed sales because RayLok's corporate advertising program stresses completely new product

models each year, although the models might have only cosmetic changes.

DimLok's selling price cannot vary above the current selling price of $$250$ per unit but may vary as much as $10\%$

below $$250.$

A division manager can elect to expand fixed production or selling facilitles; 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 achleve its target profits of

$$1,150,000$ and $$20$ per unit. A summary of these reports shows the following:

Last year's sales were $44,000$ units at $$250$ per unit.

DimLok's current manufacturing facility capacity is $54,000$ units per year, but can be increased to $108,000$ units per

year with an increase of $$1,140,000$ in annual fixed costs.

Present varlable costs amount to $$130$ per unit, but DimLok's vendors are willing to offer direct materlals discounts

amounting to $$20$ per unit, beginning with unit number $74,001.$

Sales can be Increased up to $128,000$ units per year by committing large blocks of product to institutional buyers at

a discounted unit price of $$230.$ However, this discount applies only to sales in excess of $54,000$ units per year.

Donna believes that these projections are reliable and is now trying to determine what DimLok must do to meet the profit

objectlves assigned by RayLok's board of directors.

Required:

Determine the dollar amount of DimLok's present annual fixed costs per year.

Determine the number of units that DimLok must sell to achleve both profit objectlves. Be sure to consider all constraints in

determining your answer.

Without regard to your answer in requirement $2,$ assume that Donna decides to sell $54,000$ units at $$250$ per unit and $32,680$ units

at $$230$ per unit.

$($a$)$ Prepare a budgeted income statement $($contrlbution format$)$ for DimLok showing budgeted operating Income.

$($b$)$ Would this projected operating Income meet the stated profit objectlves?

Complete this question by entering your answers in the tabs below.

Req $2$

Determine the dollar amount of DimLok's present annual fixed costs per year: