Final answer:
The cost per unit is $1 cheaper to make the modules in-house without considering opportunity costs. When factoring in the potential $40,000 profit from a new product line, it becomes $4 cheaper to buy the modules from MLC. Thus, MSI should outsource if they plan to introduce the new product line.
Step-by-step explanation:
Cost Difference Between Making and Buying the Control Module
To compute the difference in cost between making and buying the control module, we only consider the relevant costs, which are the costs that will change depending on the decision made. Since fixed overheads are unavoidable whether MSI makes or buys the modules, we exclude them from the calculation:
Cost to make (Direct materials + Direct labor + Variable manufacturing overhead) = $9 + $6 + $2 = $17 per unit
Cost to buy = $18 per unit from MLC
Difference in cost per unit = Cost to buy - Cost to make = $18 - $17 = $1
Recommendation on Buying or Making Modules
If MSI continues to make the modules, it spends $17 per unit versus the $18 per unit it would spend if it outsourced to MLC. Therefore, it is cheaper for MSI to make the modules in-house as long as the capacity is not used for another more profitable venture.
Impact of New Product Line on Cost Difference
If MSI can utilize the space for a new product line that generates $40,000 in annual profit, the opportunity cost of not using the space for the new product line must be considered. The new total cost of making in-house would include the lost profit from the new product line:
Lost profit (opportunity cost) = $40,000 per year
Total units produced = 8,000 units per year
Opportunity cost per unit = $40,000 / 8,000 units = $5 per unit
New cost to make (including opportunity cost) = $17 + $5 = $22 per unit
Difference in cost per unit (with opportunity cost) = $22 - $18 = $4
Revised Recommendation Considering the New Product Line
Considering the opportunity cost of the new product line, it is more economical for MSI to buy the control modules from MLC, as the cost per unit including the opportunity cost is higher if MSI continues to manufacture them in-house.