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Exercise 11-4 (Algo) Special Order Decision [LO11-4]

Imperial Jewelers manufactures and sells a gold bracelet for [tex]$\$[/tex]401.00[tex]$. The company's accounting system says the unit product cost for this bracelet is $[/tex]\[tex]$261.00$[/tex], as shown below:

\begin{tabular}{lr}
Direct materials & [tex]$\$[/tex]146[tex]$ \\
Direct labor & $[/tex]\[tex]$83$[/tex] \\
Manufacturing overhead & [tex]$\$[/tex]32[tex]$ \\
\hline
Unit product cost & $[/tex]\[tex]$261$[/tex] \\
\end{tabular}

A wedding party has approached Imperial Jewelers about buying 25 gold bracelets for the discounted price of [tex]$\$[/tex]361.00[tex]$ each. The wedding party would like special filigree applied to the bracelets that would increase the direct materials cost per bracelet by $[/tex]\[tex]$11$[/tex]. Imperial Jewelers would have to buy a special tool for [tex]$\$[/tex]456[tex]$ to apply the filigree to the bracelets. The special tool would have no other use once the special order is completed.

To analyze this special order, Imperial Jewelers determined that most of its manufacturing overhead is fixed and unaffected by variations in how much jewelry is produced in any given period. However, $[/tex]\[tex]$12.00$[/tex] of the overhead is variable with respect to the number of bracelets produced. The company also believes accepting this order would have no effect on its ability to produce and sell jewelry to other customers. Furthermore, the company could fulfill the wedding party's order using existing manufacturing capacity.

Required:
1. What is the financial advantage (disadvantage) of accepting the wedding party's special order?
2. Should the company accept the special order?



Answer :

Let's go through the problem step-by-step to determine if Imperial Jewelers should accept the special order.

### Step 1: Analyzing the Costs

We are provided with several costs for manufacturing one bracelet:
- Direct materials: \[tex]$146 - Direct labor: \$[/tex]83
- Manufacturing overhead: \[tex]$32, of which \$[/tex]12 is variable and \[tex]$20 is fixed. For the special order, we have: - Selling price per bracelet: \$[/tex]361
- Special filigree increases materials cost by \[tex]$11 per bracelet. - Additional special tool cost: \$[/tex]456 (one-time cost, independent of the number of bracelets).

Given that most manufacturing overhead is fixed and unaffected, only the variable overhead cost is considered in the decision.

### Step 2: Calculate the Relevant Costs for the Special Order

Since fixed overheads do not change, we consider only variable costs and additional costs specific to this special order.

Let's break down the relevant cost of one bracelet with the special filigree:
- Direct materials cost per bracelet: \[tex]$146 - Additional material cost for filigree: \$[/tex]11
- Direct labor cost per bracelet: \[tex]$83 - Variable overhead per bracelet: \$[/tex]12

### Sum of Relevant Costs Per Bracelet:
Relevant cost per bracelet = Direct materials + Additional material cost + Direct labor + Variable overhead
= \[tex]$146 + \$[/tex]11 + \[tex]$83 + \$[/tex]12
= \[tex]$252 ### Step 3: Calculate Total Revenues from the Special Order The wedding party wants to buy 25 bracelets at the discounted price of \$[/tex]361 each.

Total revenue from the special order = Selling price per bracelet Number of bracelets
= \[tex]$361
25 = \$[/tex]9025

### Step 4: Calculate Total Relevant Cost of Fulfilling the Special Order

Total relevant cost per bracelet (including special filigree) = \[tex]$252 Special tool cost = \$[/tex]456 (one-time).

Total relevant cost = (Relevant cost per bracelet Number of bracelets) + Special tool cost
= (\[tex]$252
25) + \$[/tex]456
= \[tex]$6300 + \$[/tex]456
= \[tex]$6756 ### Step 5: Determine the Financial Advantage (Disadvantage) Financial advantage (disadvantage) = Total revenue - Total relevant cost = \$[/tex]9025 - \[tex]$6756 = \$[/tex]2269

### Step 6: Decision on Accepting the Special Order

The financial advantage of accepting the special order is \[tex]$2269. Since this is a positive amount, accepting the special order increases the company's profits by \$[/tex]2269.

### Summary

1. Financial advantage (disadvantage) of accepting the special order: \[tex]$2269 2. Should the company accept the special order? Yes, the company should accept the special order because it will be financially beneficial, increasing profits by \$[/tex]2269.