Final answer:
The total differential cost for Cakes by Jacki to add a line of sugar-free cake options is calculated by summing up the additional costs in ingredients, labor, and utilities. It amounts to $875.
Step-by-step explanation:
In evaluating whether or not to add the new line of sugar-free cake options at Cakes by Jacki, one needs to calculate the total differential cost. The total differential cost is the difference in costs before and after making a change in the business process, in this case, adding a new product line. To calculate the total differential cost, we start with the estimated increase in revenue, which is from $5,000 to $6,500, resulting in an increase of $1,500. However, this is not part of the differential cost since we're asked only about costs, not revenue. Next, we will look at each cost category:
- Ingredients and labor costs increase from $2,200 to $3,000, which is an increase of $800.
- Utilities are estimated to increase from $500 to $575, which is an increase of $75.
- Rent and other costs are expected to remain the same, so there is no increase in this category.
Adding these incremental costs together ($800 for ingredients/labor + $75 for utilities), the total differential cost is $875.