Final answer:
Grant Industries must analyze the incremental costs and revenues of a special order to decide if bidding at $13 per unit is profitable. This involves considering variable costs and understanding economies of scale, as fixed costs are already covered by their normal operations.
Step-by-step explanation:
The question revolves around the decision-making process in business operations pertaining to accepting a special order and involves understanding cost behavior, profitability analysis, and economies of scale. Grant Industries needs to determine if bidding at $13 per unit for a special order is profitable.
To make an informed decision, they must compare the incremental costs associated with producing an additional 17,500 units to the potential incremental revenues generated from the special order.
The fixed costs are likely covered by their current production, so they won't change. Therefore, the focus should be on variable costs. If the variable cost per unit is less than $13, the company may earn a profit on the special order. However, if the unit cost, which includes both variable and fixed costs, exceeds $13, then they would incur losses by accepting the bid.
Using provided examples of cost analysis at various production levels, it's essential to apply the concept to Grant's situation. For instance, the economies of scale may reduce the average cost of production when operating at higher capacities, potentially making the special order profitable even at a lower price point, assuming the scale does not exceed the threshold where economies of scale no longer apply.