Discontinuing the racing bikes would result in a loss of the product's contribution margin and a saving of some of the traceable fixed costs.
So, my response is No, production and sale of the racing bikes should not be discontinued. If the racing bikes were discontinued, so the net operating income for the company as a whole would reduce by $11,000 each quarter (check image attached)
The formula for calculating NOI is: Net Operating Income (NOI) =Total Revenue−Total Operating Expenses
Based on the above, decrease in Net Operating Income is calculated by:
contribution margin loss - fixed cost.
The contribution margin loss amounts to ($27,000), attributable to avoidable fixed costs including traceable advertising expenses of $6,000 and the product line manager's salary of $10,000, totaling $16,000. This results in an overall decrease in net operating income for the company by ($11,000).
Therefore, It's essential to note that the depreciation of the special equipment is considered a sunk cost and doesn't impact the decision. Additionally, common costs, which are allocated, will persist regardless of the discontinuation of racing bikes and are therefore not pertinent to the decision-making process.